The DOI matches its Crossref record; 346 of the 347 references it cites were found in a registry or an index.
Random-matrix theory of quantum transport
Open accessAbstract
This is a review of the statistical properties of the scattering matrix of a mesoscopic system. Two geometries are contrasted: A quantum dot and a disordered wire. The quantum dot is a confined region with a chaotic classical dynamics, which is coupled to two electron reservoirs via point contacts. The disordered wire also connects two reservoirs, either directly or via a point contact or tunnel barrier. One of the two reservoirs may be in the superconducting state, in which case conduction involves Andreev reflection at the interface with the superconductor. In the case of the quantum dot, the distribution of the scattering matrix is given by either Dyson's circular ensemble for ballistic point contacts or the Poisson kernel for point contacts containing a tunnel barrier. In the case of the disordered wire, the distribution of the scattering matrix is obtained from the Dorokhov-Mello-Pereyra-Kumar equation, which is a one-dimensional scaling equation. The equivalence is discussed with the nonlinear $\ensuremath{\sigma}$ model, which is a supersymmetric field theory of localization. The distribution of scattering matrices is applied to a variety of physical phenomena, including universal conductance fluctuations, weak localization, Coulomb blockade, sub-Poissonian shot noise, reflectionless tunneling into a superconductor, and giant conductance oscillations in a Josephson junction.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“The simplest form of multiple linear regression, which is in essence fitting a plane through the origin to a cloud of points, is not sloppy.”
From Sloppy-model universality class and the Vandermonde matrix. (2006) · cites this paper as [13]
In the citing paper
“The Hessian matrix for this type of model is the sample covariance matrix of the data points and is known as a Wishart matrix [13].”
From Sloppy-model universality class and the Vandermonde matrix. (2006) · cites this paper as [13]
Citations
Cites
A treatise on electricity and magnetism
(1954) · Journal of the Franklin Institute · doi:10.1016/0016-0032(54)90053-8 · Cited by 9,134
Stochastic Processes in Physics and Chemistry
(2007) · Elsevier eBooks · doi:10.1016/b978-0-444-52965-7.x5000-4 · Cited by 9,096
Electronic Transport in Mesoscopic Systems
Datta, S. (1995) · doi:10.1017/cbo9780511805776 · Cited by 7,704
Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions
Abrahams, E., Anderson, P. W., Licciardello, D. C., & Ramakrishnan, T. V. (1979) · Physical Review Letters · doi:10.1103/physrevlett.42.673 · Cited by 6,134
Lee, P. A., & Ramakrishnan, T. V. (1985) · Reviews of Modern Physics · doi:10.1103/revmodphys.57.287 · Cited by 6,123
Itzykson, C., & Zuber, J.-B. (1980) · Cited by 5,652
Chaos in Classical and Quantum Mechanics
Gutzwiller, M. C. (1990) · Interdisciplinary applied mathematics · doi:10.1007/978-1-4612-0983-6 · Cited by 3,946
Superconductivity of Metals and Alloys
de Gennes, P. G. (2018) · CRC Press eBooks · doi:10.1201/9780429497032 · Cited by 3,793
Blonder, G. E., Tinkham, M., & Klapwijk, T. M. (1982) · Physical review. B, Condensed matter · doi:10.1103/physrevb.25.4515 · Cited by 3,579
Spatial Variation of Currents and Fields Due to Localized Scatterers in Metallic Conduction
Landauer, R. W. (1957) · IBM Journal of Research and Development · doi:10.1147/rd.13.0223 · Cited by 3,469
Flagged first, then by citations
1 of the 347 references couldn’t be matched to a known paper.
Research works printed but not linked: 37
- Altshuler, B. L., 1985, JETP Lett., 41, 648
- Altshuler, B. L., 1994, JETP Lett., 59, 857
- Altshuler, B. L., 1986, Sov. Phys. JETP, 64, 127
- Altshuler, B. L., 1987, Sov. Phys. JETP, 65, 343
- Andreev, A. F., 1964, Zh. Eksp. Teor. Fiz., 46, 1823
- Andreev, A. F., 1966, Sov. Phys. JETP, 24, 1019
- Büttiker, M., 1986, Phys. Rev. B, 57, 1761
- Dorokhov, O. N., 1982, JETP Lett., 36, 318
- Dorokhov, O. N., 1983, Sov. Phys. JETP, 58, 606
- Dorokhov, O. N., 1990, Sov. Phys. JETP, 71, 360
- Efetov, K. B., 1982, Sov. Phys. JETP, 56, 467
- Efetov, K. B., 1983, Sov. Phys. JETP, 58, 444
- Gazaryan, Yu. L., 1969, Sov. Phys. JETP, 29, 996
- Gertsenshtein, M. E., 1959, Teor. Veroyatn. Primen., 4, 424
- Golubov, A. A., 1995, JETP Lett., 61, 851
- Gor’kov, L. P., 1965, Zh. Eksp. Teor. Fiz., 48, 1407
- Gor’kov, L. P., 1979, JETP Lett., 30, 228
- Jalabert, R. A., 1995, J. Phys. I, 5, 287
- Keldysh, L. V., 1964, Zh. Eksp. Teor. Fiz., 47, 1515
- Khlus, V. A., 1987, Sov. Phys. JETP, 66, 1243
- Kulik, I. O., 1984, Sov. J. Low Temp. Phys., 10, 158
- Kulik, I. O., 1975, Sov. Phys. JETP, 41, 308
- Larkin, A. I., 1975, Sov. Phys. JETP, 41, 960
- Larkin, A. I., 1977, Sov. Phys. JETP, 46, 155
- Lesovik, G. B., 1989, JETP Lett., 49, 592
- Mel’nikov, V. I., 1981, Sov. Phys. Solid State, 23, 444
- Muzykantskiĭ, B. A., 1995, JETP Lett., 62, 76
- Nguyen, V. I., 1985, JETP Lett., 41, 42
- Sharvin, Yu. V., 1965, Zh. Eksp. Teor. Fiz., 48, 984
- Shekhter, R. I., 1973, Sov. Phys. JETP, 36, 747
- Shelankov, A. L., 1980, JETP Lett., 32, 111
- Shelankov, A. L., 1984, Sov. Phys. Solid State, 26, 981
- Spivak, B. Z., 1982, JETP Lett., 35, 412
- Steinbach, A. H., 1995, Bull. Am. Math. Soc., 40, 400
- Wigner, E. P., 1967, SIAM (Soc. Ind. Appl. Math.) Rev., 9, 1
- Zaĭtsev, A. V., 1980, Zh. Eksp. Teor. Fiz., 78, 221
- Zaĭtsev, A. V., 1984, Sov. Phys. JETP, 59, 1015
Cited by
Sorted by citations
Items 301–400 of 1,000
Statistics of Impedance and Scattering Matrices of Chaotic Microwave Cavities with Multiple Ports
Zheng, X. S., Antonsen, T. M., & Ott, E. (2005) · Electromagnetics · doi:10.1080/02726340500214902 · Cited by 69
Singular Value Statistics of Matrix Products with Truncated Unitary Matrices
Kieburg, M., Kuijlaars, A. B. J., & Stivigny, D. (2015) · International Mathematics Research Notices · doi:10.1093/imrn/rnv242 · Cited by 69
Shot noise in ferromagnetic single-electron tunneling devices
Bułka, B. R., Martinek, J., Michałek, G., & Barnaś, J. (1999) · Physical review. B, Condensed matter · doi:10.1103/physrevb.60.12246 · Cited by 69
Point-contact conductances at the quantum Hall transition
Janßen, M., Metzler, M., & Zirnbauer, M. R. (1999) · Physical review. B, Condensed matter · doi:10.1103/physrevb.59.15836 · Cited by 69
Harnessing disorder for photonic device applications
Cao, H. W., & Eliezer, Y. (2022) · Applied Physics Reviews · doi:10.1063/5.0076318 · Cited by 68
“One-Sided” Log-Normal Distribution of Conductances for a Disordered Quantum Wire
Muttalib, K. A., & Wölfle, P. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.3013 · Cited by 68
Universal Conductance Distributions in the Crossover between Diffusive and Localization Regimes
García‐Martín, A., & Sáenz, J. J. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.116603 · Cited by 68
Coherence effects in double-barrier Josephson junctions
Brinkman, A., & Golubov, A. A. (2000) · Physical review. B, Condensed matter · doi:10.1103/physrevb.61.11297 · Cited by 68
Dynamics of Weakly Localized Waves
Skipetrov, S. E., & van Tiggelen, B. A. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.113901 · Cited by 68
Transmission Eigenchannels and the Densities of States of Random Media
Davy, M., Shi, Z., Wang, J., Cheng, X., & Genack, A. Z. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.033901 · Cited by 67
Coherent Forward Scattering Peak Induced by Anderson Localization
Karpiuk, T., Cherroret, N., Lee, K. L., Grémaud, B., Müller, C. A., & Miniatura, C. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.190601 · Cited by 67
Photon-assisted electron-hole shot noise in multiterminal conductors
Rychkov, V. S., Polianski, M. L., & Büttiker, Μ. (2005) · Physical Review B · doi:10.1103/physrevb.72.155326 · Cited by 67
Dissipative Transport: Thermal Contacts and Tunnelling Junctions
Fröhlich, J. M., Merkli, M., & Ueltschi, D. (2003) · Annales Henri Poincaré · doi:10.1007/s00023-003-0150-8 · Cited by 67
Shot Noise in Semiclassical Chaotic Cavities
Whitney, R. S., & Jacquod, P. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.206804 · Cited by 67
de Moura, F. A. B. F., Malyshev, A. V., Lyra, M. L., Malyshev, V. A., & Domínguez-Adame, F. (2005) · Physical Review B · doi:10.1103/physrevb.71.174203 · Cited by 67
Nonequilibrium theory of Coulomb blockade in open quantum dots
Brouwer, P. W., Lamacraft, A., & Flensberg, K. (2005) · Physical Review B · doi:10.1103/physrevb.72.075316 · Cited by 67
Avriller, R., Roche, S., Triozon, F., Blase, X., & Latil, S. (2007) · Modern Physics Letters B · doi:10.1142/s0217984907014322 · Cited by 66
Random matrices beyond the Cartan classification
Magnea, U. (2008) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/41/4/045203 · Cited by 66
Hemmady, S. D., Zheng, X. S., Hart, J. A., Antonsen, T. M., Ott, E., & Anlage, S. M. (2006) · Physical Review E · doi:10.1103/physreve.74.036213 · Cited by 66
Supercurrent Interference in Few-Mode Nanowire Josephson Junctions
Zuo, K., Mourik, V., Szombati, D. B., Nijholt, B., van Woerkom, D. J., Geresdi, A., Chen, J., Ostroukh, V., Akhmerov, A., Plissard, S., et al. (2017) · Physical Review Letters · doi:10.1103/physrevlett.119.187704 · Cited by 66
Density of States in Coupled Chains with Off-Diagonal Disorder
Brouwer, P. W., Mudry, C., & Furusaki, A. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.2913 · Cited by 66
Wang, J., Lamann, M. H., Richter, J., Steinigeweg, R., Dymarsky, A. Y., & Jochen Gemmer, B. (2022) · Physical Review Letters · doi:10.1103/physrevlett.128.180601 · Cited by 75
Superconductors as spin sources for spintronics
Giazotto, F., & Taddei, F. (2008) · Physical Review B · doi:10.1103/physrevb.77.132501 · Cited by 65
Mello, P. A., & Baranger, H. U. (1999) · Waves in Random Media · doi:10.1088/0959-7174/9/2/304 · Cited by 65
Changing the Electronic Spectrum of a Quantum Dot by Adding Electrons
Patel, S. R., Stewart, D. R., Marcus, C. M., Gökçedağ, M., Alhassid, Y., Stone, A. D., Duruöz, C. I., & Harris, J. S. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.5900 · Cited by 65
Spin-Dependent Transparency of Ferromagnet/Superconductor Interfaces
Xia, K., Kelly, P. J., Bauer, G. E. W., & Turek, I. (2002) · Physical Review Letters · doi:10.1103/physrevlett.89.166603 · Cited by 65
Glazman, L. I. (2000) · Journal of Low Temperature Physics · doi:10.1023/a:1004654129125 · Cited by 65
Pan, H., Liu, C.-X., Wimmer, M., & Sarma, S. D. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.103.214502 · Cited by 64
Apparent Power-Law Behavior of Conductance in Disordered Quasi-One-Dimensional Systems
Rodin, A. S., & Fogler, M. M. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.106801 · Cited by 64
Position-Dependent Diffusion of Light in Disordered Waveguides
Yamilov, A. G., Sarma, R., Redding, B., Payne, B., Noh, H., & Cao, H. W. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.023904 · Cited by 64
Applications and generalizations of Fisher–Hartwig asymptotics
Forrester, P. J., & Frankel, N. E. (2004) · Journal of Mathematical Physics · doi:10.1063/1.1699484 · Cited by 64
Mesoscopic light transport by very strong collective multiple scattering in nanowire mats
Strudley, T., Zehender, T., Blejean, C., Bakkers, E. P. A. M., & Muskens, O. L. (2013) · Nature Photonics · doi:10.1038/nphoton.2013.62 · Cited by 64
Critical eigenstates and their properties in one- and two-dimensional quasicrystals
Macé, N., Jagannathan, A., Kalugin, P., Mosseri, R., & Piéchon, F. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.96.045138 · Cited by 64
Mudry, C., Ryu, S., & Furusaki, A. (2003) · Physical review. B, Condensed matter · doi:10.1103/physrevb.67.064202 · Cited by 64
Distribution of the reflection eigenvalues of a weakly absorbing chaotic cavity
Beenakker, C. W. J., & Brouwer, P. W. (2001) · Physica E Low-dimensional Systems and Nanostructures · doi:10.1016/s1386-9477(00)00245-9 · Cited by 64
Self-citationCrossed Andreev reflection in structures consisting of a superconductor with ferromagnetic leads
Yamashita, T., Takahashi, S., & Maekawa, S. (2003) · Physical review. B, Condensed matter · doi:10.1103/physrevb.68.174504 · Cited by 63
The single-channel regime of transport through random media
la Pena, A. V. D., Girschik, A., Libisch, F., Rotter, S., & Chabanov, A. A. (2014) · Nature Communications · doi:10.1038/ncomms4488 · Cited by 62
Charge pumping in mesoscopic systems coupled to a superconducting lead
Blaauboer, M. (2002) · Physical review. B, Condensed matter · doi:10.1103/physrevb.65.235318 · Cited by 62
Physical Bounds to the Entropy-Depolarization Relation in Random Light Scattering
Aiello, A., & Woerdman, J. P. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.090406 · Cited by 61
Asymmetry of Nonlinear Transport and Electron Interactions in Quantum Dots
Zumbühl, D. M., Marcus, C. M., Hanson, M. P., & Gossard, A. C. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.206802 · Cited by 61
Universal Distribution of Transparencies in Highly Conductive Nb/AlOx/Nb Junctions
Naveh, Y., Patel, V., Averin, D. V., Likharev, K. K., & Lukens, J. E. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.5404 · Cited by 61
Minoguchi, Y., Rabl, P., & Buchhold, M. (2022) · SciPost Physics · doi:10.21468/scipostphys.12.1.009 · Cited by 67
Magnetoanisotropic Andreev Reflection in Ferromagnet-Superconductor Junctions
Högl, P., Matos-Abiague, A., Žutić, I., & Fabian, J. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.116601 · Cited by 60
Tau-Function Theory of Chaotic Quantum Transport with β = 1, 2, 4
Mezzadri, F., & Simm, N. (2013) · Communications in Mathematical Physics · doi:10.1007/s00220-013-1813-z · Cited by 60
Systematic approach to statistics of conductance and shot-noise in chaotic cavities
Khoruzhenko, B. A., Savin, D. V., & Sommers, H.-J. (2009) · Physical Review B · doi:10.1103/physrevb.80.125301 · Cited by 60
Thouless energy and correlations of QCD Dirac eigenvalues
Osborn, J. C., & Verbaarschot, J. J. M. (1998) · Nuclear Physics B · doi:10.1016/s0550-3213(98)00424-6 · Cited by 60
Semiclassical theory of the Ehrenfest time dependence of quantum transport in ballistic quantum dots
Brouwer, P. W., & Rahav, S. (2006) · Physical Review B · doi:10.1103/physrevb.74.075322 · Cited by 59
Conductance of open quantum billiards and classical trajectories
Nazmitdinov, R. G., Pichugin, K. N., Rotter, I., & Šeba, P. (2002) · Physical review. B, Condensed matter · doi:10.1103/physrevb.66.085322 · Cited by 59
Statistics of finite-time Lyapunov exponents in a random time-dependent potential
Schomerus, H., & Titov, M. (2002) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.66.066207 · Cited by 59
Fan, Z., Uppstu, A., & Harju, A. (2014) · Physical Review B · doi:10.1103/physrevb.89.245422 · Cited by 58
Depth-targeted energy delivery deep inside scattering media
Bender, N., Yamilov, A. G., Goetschy, A., Yılmaz, H., Hsu, C. W., & Cao, H. W. (2022) · Nature Physics · doi:10.1038/s41567-021-01475-x · Cited by 58
Excitation spectrum of mesoscopic proximity structures
Pilgram, S., Belzig, W., & Bruder, C. (2000) · Physical review. B, Condensed matter · doi:10.1103/physrevb.62.12462 · Cited by 58
Pseudodiffusive magnetotransport in graphene
Prada, E., San-José, P., Wünsch, B., & Guinea, F. (2007) · Physical Review B · doi:10.1103/physrevb.75.113407 · Cited by 57
Separation of heat and charge currents for boosted thermoelectric conversion
Mazza, F., Valentini, S., Bosisio, R., Benenti, G., Giovannetti, V., Fazio, R., & Taddei, F. (2015) · Physical Review B · doi:10.1103/physrevb.91.245435 · Cited by 57
Quantum transport length scales in silicon-based semiconducting nanowires: Surface roughness effects
Lherbier, A., Persson, M., Niquet, Y., Triozon, F., & Roche, S. (2008) · Physical Review B · doi:10.1103/physrevb.77.085301 · Cited by 57
Universal scaling of current fluctuations in disordered graphene
San-José, P., Prada, E., & Golubev, D. S. (2007) · Physical Review B · doi:10.1103/physrevb.76.195445 · Cited by 57
Random Matrix Theory Approach to Chaotic Coherent Perfect Absorbers
Li, H., Suwunnarat, S., Fleischmann, R., Schanz, H., & Kottos, T. (2017) · Physical Review Letters · doi:10.1103/physrevlett.118.044101 · Cited by 61
Density of states controls Anderson localization in disordered photonic crystal waveguides
García, P. D., Smolka, S., Stobbe, S., & Lodahl, P. (2010) · Physical Review B · doi:10.1103/physrevb.82.165103 · Cited by 57
Splitting of Andreev levels in a Josephson junction by spin-orbit coupling
Béri, B., Bardarson, J. H., & Beenakker, C. W. J. (2008) · Physical Review B · doi:10.1103/physrevb.77.045311 · Cited by 57
Self-citationVoltage and dephasing probes in mesoscopic conductors: A study of full-counting statistics
Förster, H., Samuelsson, P., Pilgram, S., & Büttiker, Μ. (2007) · Physical Review B · doi:10.1103/physrevb.75.035340 · Cited by 57
Functionals of Brownian motion, localization and metric graphs
Comtet, A., Desbois, J., & Texier, C. (2005) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/38/37/r01 · Cited by 57
On the existence of superradiant excitonic states in microtubules
Celardo, G. L., Angeli, M., Craddock, T. J. A., & Kurian, P. (2019) · New Journal of Physics · doi:10.1088/1367-2630/aaf839 · Cited by 56
Jiang, T. (2008) · Probability Theory and Related Fields · doi:10.1007/s00440-008-0146-x · Cited by 56
Focusing through random media: Eigenchannel participation number and intensity correlation
Davy, M., Shi, Z., & Genack, A. Z. (2012) · Physical Review B · doi:10.1103/physrevb.85.035105 · Cited by 56
Spin selectivity through time-reversal symmetric helical junctions
Utsumi, Y., Ora Entin-wohlman, A., & Amnon Aharony, A. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.102.035445 · Cited by 58
Wu, X., & Cao, H. (2008) · Physical Review A · doi:10.1103/physreva.77.013832 · Cited by 56
Bardarson, J. H., Adagideli, İ., & Jacquod, P. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.196601 · Cited by 57
Prohibition of equilibrium spin currents in multiterminal ballistic devices
Kiselev, A. A., & Kim, K. W. (2005) · Physical Review B · doi:10.1103/physrevb.71.153315 · Cited by 56
Brouwer, P. W., Cremers, J. N. H. J., & Halperin, B. I. (2002) · Physical review. B, Condensed matter · doi:10.1103/physrevb.65.081302 · Cited by 56
Delay-time statistics for diffuse waves
van Tiggelen, B. A., Sebbah, P., Stoytchev, M., & Genack, A. Z. (1999) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.59.7166 · Cited by 56
Semiclassical Theory of Conductance and Noise in Open Chaotic Cavities
Blanter, Y. M., & Sukhorukov, E. V. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.1280 · Cited by 56
Pumped current and voltage for an adiabatic quantum pump
Polianski, M. L., & Brouwer, P. W. (2001) · Physical review. B, Condensed matter · doi:10.1103/physrevb.64.075304 · Cited by 56
Neutrality Point of Graphene with Coplanar Charged Impurities
Fogler, M. M. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.236801 · Cited by 55
Measuring maximal eigenvalue distribution of Wishart random matrices with coupled lasers
Fridman, M., Pugatch, R., Nixon, M., Friesem, A. A., & Davidson, N. (2012) · Physical Review E · doi:10.1103/physreve.85.020101 · Cited by 55
Nonlinear statistics of quantum transport in chaotic cavities
Savin, D. V., Sommers, H.-J., & Wieczorek, W. (2008) · Physical Review B · doi:10.1103/physrevb.77.125332 · Cited by 55
Spin polarization in a T-shaped conductor induced by strong Rashba spin-orbit coupling
Yamamoto, M., Ohtsuki, T., & Krämer, B. (2005) · Physical Review B · doi:10.1103/physrevb.72.115321 · Cited by 55
Amnon Aharony, A., 都倉, 康., Cohen, G., Ora Entin-wohlman, A., & Katsumoto, S. (2011) · Physical Review B · doi:10.1103/physrevb.84.035323 · Cited by 56
Delay times and reflection in chaotic cavities with absorption
Savin, D. V., & Sommers, H.-J. (2003) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.68.036211 · Cited by 55
Reflection and transmission of waves in surface-disordered waveguides
Sánchez-Gil, J. A., Freilikher, V., Maradudin, A. A., & Yurkevich, I. V. (1999) · Physical review. B, Condensed matter · doi:10.1103/physrevb.59.5915 · Cited by 55
Range and correlation effects in edge disordered graphene nanoribbons
Cresti, A., & Roche, S. (2009) · New Journal of Physics · doi:10.1088/1367-2630/11/9/095004 · Cited by 55
Ehrenfest-time-dependent suppression of weak localization
Adagideli, İ. (2003) · Physical review. B, Condensed matter · doi:10.1103/physrevb.68.233308 · Cited by 55
Induced Ginibre ensemble of random matrices and quantum operations
Fischmann, J., Bruzda, W., Khoruzhenko, B. A., Sommers, H.-J., & Życzkowski, K. (2012) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/45/7/075203 · Cited by 55
Petta, J. R., & Ralph, D. C. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.266801 · Cited by 55
Spin cross-correlation experiments in an electron entangler
Bordoloi, A., Zannier, V., Sorba, L., Schönenberger, C., & Baumgartner, A. (2022) · Nature · doi:10.1038/s41586-022-05436-z · Cited by 54
Phase-engineering the Andreev band structure of a three-terminal Josephson junction
Coraiola, M., Haxell, D. Z., Sabonis, D., Weisbrich, H., Svetogorov, A. E., Hinderling, M., ten Kate, S. C., Cheah, E., Křížek, F., Schott, R., et al. (2023) · Nature Communications · doi:10.1038/s41467-023-42356-6 · Cited by 54
Local temperature of out-of-equilibrium quantum electron systems
Meair, J., Bergfield, J. P., Stafford, C. A., & Jacquod, P. (2014) · Physical Review B · doi:10.1103/physrevb.90.035407 · Cited by 54
Universal transport properties of open microwave cavities with and without time-reversal symmetry
Schanze, H., Stöckmann, H. ‐., Martinez-Mares, M., & Lewenkopf, C. (2005) · Physical Review E · doi:10.1103/physreve.71.016223 · Cited by 54
Quantum limit of the triplet proximity effect in half-metal–superconductor junctions
Béri, B., Kupferschmidt, J. N., Beenakker, C. W. J., & Brouwer, P. W. (2009) · Physical Review B · doi:10.1103/physrevb.79.024517 · Cited by 54
Self-citationNonuniversality of Anderson Localization in Short-Range Correlated Disorder
Titov, M., & Schomerus, H. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.126602 · Cited by 54
Failure of the Wiedemann-Franz law in mesoscopic conductors
Vavilov, M., & Stone, A. D. (2005) · Physical Review B · doi:10.1103/physrevb.72.205107 · Cited by 54
Benefits of Weak Disorder in One-Dimensional Topological Superconductors
Haim, A., & Stern, A. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.126801 · Cited by 54
Controlling Quantum Transport via Dissipation Engineering
Damanet, F., Mascarenhas, E., Pekker, D., & Daley, A. J. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.180402 · Cited by 54
Peña, V., Visani, C., García‐Barriocanal, J., Arias, D., Sefrioui, Z., Leon, C., Santamaria, J., & Almasan, C. A. (2006) · Physical Review B · doi:10.1103/physrevb.73.104513 · Cited by 54
Fokker-Planck equations and density of states in disordered quantum wires
Titov, M., Brouwer, P. W., Furusaki, A., & Mudry, C. (2001) · Physical review. B, Condensed matter · doi:10.1103/physrevb.63.235318 · Cited by 54
Quantum-to-classical correspondence in open chaotic systems
Schomerus, H., & Jacquod, P. (2005) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/38/49/013 · Cited by 54
In situ broadband cryogenic calibration for two-port superconducting microwave resonators
Yeh, J.-H., & Anlage, S. M. (2013) · Review of Scientific Instruments · doi:10.1063/1.4797461 · Cited by 54
Resonances in open quantum maps
Novaes, M. (2013) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/46/14/143001 · Cited by 53
Bifurcations in resonance widths of an open Bose-Hubbard dimer
Hiller, M., Kottos, T., & Ossipov, A. (2006) · Physical Review A · doi:10.1103/physreva.73.063625 · Cited by 53
Statistics of quantum transport in chaotic cavities with broken time-reversal symmetry
Novaes, M. (2008) · Physical Review B · doi:10.1103/physrevb.78.035337 · Cited by 53
A Simple Approach to the Global Regime of Gaussian Ensembles of Random Matrices
Pastur, L. A. (2005) · Ukrainian Mathematical Journal · doi:10.1007/s11253-005-0241-4 · Cited by 53
Metadata
- Authors
- Beenakker, C. W. J.
- Affiliations
- Leiden University (NL)
- Corresponding author
- Beenakker, C. W. J.
- ORCID
- Beenakker, C. W. J.
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 1997-07-01
- Volume
- 69
- Issue
- 3
- Pages
- 731-808
- ISSN
- 0034-6861 (ISSN-L)
- 1539-0756
- OpenAlex
- W2092583264
- Cited by
- 2,551
- References
- 347
- Citations by year
- 2026: 58 · 2025: 92 · 2024: 79 · 2023: 75 · 2022: 98 · 2021: 111 · 2020: 116 · 2019: 100 · 2018: 76 · 2017: 98 · 2016: 91 · 2015: 88 · 2014: 99 · 2013: 110 · 2012: 83
- FWCI
- 68.17
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Reviews of Modern Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Leiden Repository (Leiden University) (submittedVersion)
- Data Archiving and Networked Services (DANS) (submittedVersion, other-oa)
- arXiv (Cornell University)
- Funders
- Stichting voor Fundamenteel Onderzoek der Materie
- Nederlandse Organisatie voor Wetenschappelijk Onderzoek
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Quantum and electron transport phenomena
- Physical Sciences › Mathematics › Mathematical Physics › Spectral Theory in Mathematical Physics
- Keywords
- random matrix theory, quantum transport, scattering matrix, mesoscopic systems, quantum dots, disordered wires, point contacts, tunnel barrier, superconducting junctions, Andreev reflection, Poisson kernel, nonlinear sigma model, supersymmetry, localization, universal conductance fluctuations, weak localization, Coulomb blockade
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
