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The random mass Dirac model and long-range correlations on an integrated optical platform
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“Since then, the SSH model or related models have been discussed and realized in photonic crystals (Keil et al., 2013;Xiao, Zhang, and Chan, 2014), electromagnetic metamaterials (Tan et al., 2014;Yannopapas, 2014), plasmonic and dielectric nanoparticles (Poddubny et al., 2014;Ling et al., 2015;Sinev et al., 2015;Slobozhanyuk et al., 2015;Slobozhanyuk, Poddubny et al., 2016;Kruk et al., 2017), Plas”
From Topological photonics (2019) · cites this paper as Keil et al., 2013
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Spin Glass Theory and Beyond: An Introduction to the Replica Method and Its Applications
Mezard, M., Parisi, G., & Virasoro, M. (1986) · World Scientific Lecture Notes in Physics · doi:10.1142/0271 · Cited by 3,653
Transport and Anderson localization in disordered two-dimensional photonic lattices
Schwartz, T., Bartal, G., Fishman, S., & Segev, M. (2007) · Nature · doi:10.1038/nature05623 · Cited by 1,600
Quantum Walks of Correlated Photons
Peruzzo, A., Lobino, M., Matthews, J. C. F., Matsuda, N., Politi, A., Poulios, K., Zhou, X.-Q., Lahini, Y., Ismail, N., Wörhoff, K., et al. (2010) · Science · doi:10.1126/science.1193515 · Cited by 929
Two-Particle Bosonic-Fermionic Quantum Walk via Integrated Photonics
Sansoni, L., Sciarrino, F., Vallone, G., Mataloni, P., Crespi, A., Ramponi, R., & Osellame, R. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.010502 · Cited by 578
Realization of Quantum Walks with Negligible Decoherence in Waveguide Lattices
Perets, H. B., Lahini, Y., Pozzi, F., Sorel, M., Morandotti, R., & Silberberg, Y. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.170506 · Cited by 526
Classical Simulation of Relativistic Zitterbewegung in Photonic Lattices
Dreisow, F., Heinrich, M., Keil, R., Tünnermann, A., Nolte, S., Longhi, S., & Szameit, A. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.143902 · Cited by 235
Self-citationQuantum Correlations in Two-Particle Anderson Localization
Lahini, Y., Bromberg, Y., Christodoulides, D. N., & Silberberg, Y. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.163905 · Cited by 176
Polychromatic dynamic localization in curved photonic lattices
Szameit, A., Garanovich, I. L., Heinrich, M., Sukhorukov, A. A., Dreisow, F., Pertsch, T., Nolte, S., Tünnermann, A., & Kivshar, Y. S. (2009) · Nature Physics · doi:10.1038/nphys1221 · Cited by 159
Self-citationPhotonic analog of Zitterbewegung in binary waveguide arrays
Longhi, S. (2010) · Optics Letters · doi:10.1364/ol.35.000235 · Cited by 131
Flagged first, then by citations
Research works printed but not linked: 48
- Campillo, M. & Paul, A. . Long-range correlations in the diffuse seismic coda. Science 299, 547–549 (2003). · DOI
- Peng, C.-K. et al. Long-range correlations in nucleotide sequences. Nature 356, 168–170 (1992). · DOI
- Mandelbrot, B. . The variation of certain speculative prices. J. Bus. 36, 394–419 (1963). · DOI
- Chechkin, A. V., Metzler, R., Klafter, J. & Gonchar, V. Y. . Anomalous Transport Ch. 5 ( Wiley (2008).
- Barthelemy, P., Bertolotti, J. & Wiersma, D. S. . A Lévy flight for light. Nature 453, 495–498 (2008). · DOI
- Billoire, A., Kondor, I., Lukic, J. & Marinari, E. . Large random correlations in individual mean field spin glass samples. J. Stat. Mech. 2011, P02009 (2011).
- Vaknin, D. et al. Antiferromagnetism in La2CuO4−y . Phys. Rev. Lett. 58, 2802–2805 (1987). · DOI
- de la Cruz, C. et al. Magnetic order close to superconductivity in the iron-based layered LaO1−xFxFeAs systems. Nature 453, 899–902 (2008). · DOI
- Hase, M., Terasaki, I. & Uchinokura, K. . Observation of the spin-Peierls transition in linear Cu2+ (spin-1/2) chains in an inorganic compound CuGeO3 . Phys. Rev. Lett. 70, 3651–3654 (1993). · DOI
- Musfeldt, J. L. . Magnetism: Molecules to Materials I: Models and Experiments Ch. 3 ( Wiley (2003).
- Dagotto, E. & Rice, T. M. . Surprises on the way from one- to two-dimensional quantum magnets: the ladder materials. Science 271, 618–623 (1996). · DOI
- Vuletić, T. et al. The spin-ladder and spin-chain system (La,Y,Sr,Ca)14Cu24O41: electronic phases, charge and spin dynamics. Phys. Rep. 428, 169–258 (2006). · DOI
- Steiner, M., Fabrizio, M. & Gogolin, A. O. . Random-mass dirac fermions in doped spin-Peierls and spin-ladder systems: one-particle properties and boundary effects. Phys. Rev. B 57, 8290–8306 (1998). · DOI
- Shelton, D. G. & Tsvelik, A. M. . Effective theory for midgap states in doped spin-ladder and spin-Peierls systems: Liouville quantum mechanics. Phys. Rev. B 57, 14242–14246 (1998). · DOI
- Anderson, P. W. . Absence of diffusion in certain random lattices. Phys. Rev. 109, 1492–1505 (1958). · DOI · Paper page
- Wiersma, D. S., Bartolini, P., Lagendijk, A. & Righini, R. . Localization of light in a disordered medium. Nature 390, 671–673 (1997). · DOI
- Lahini, Y. et al. Anderson localization and nonlinearity in one-dimensional disordered photonic lattices. Phys. Rev. Lett. 100, 013906 (2008). · DOI · Paper page
- Billy, J. et al. Direct observation of Anderson localization of matter waves in a controlled disorder. Nature 453, 891–894 (2008). · DOI
- Fabrizio, M. & Mélin, R. . Coexistence of antiferromagnetism and dimerization in a disordered spin-Peierls model: exact results. Phys. Rev. Lett. 78, 3382–3385 (1997). · DOI
- Oseroff, S. B. et al. Spin-Peierls state versus Néel state in doped CuGeO3 . Phys. Rev. Lett. 74, 1450–1453 (1995). · DOI
- Hase, M., Uchinokura, K., Birgeneau, R. J., Hirota, K. & Shirane, G. . Neutron-scattering study of magnetism in single-crystal Cu1−xZnxGeO3 . J. Phys. Soc. Jpn 65, 1392–1398 (1996). · DOI
- Masuda, T., Fujioka, A., Uchiyama, Y., Tsukada, I. & Uchinokura, K. . Phase transition between dimerized-antiferromagnetic and uniform-antiferromagnetic phases in the impurity-doped spin-Peierls cuprate CuGeO3 . Phys. Rev. Lett. 80, 4566–4569 (1998). · DOI
- Hase, M., Terasaki, I., Sasago, Y., Uchinokura, K. & Obara, H. . Effects of substitution of Zn for Cu in the spin-Peierls cuprate, CuGeO3, the suppression of the spin-Peierls transition and the occurrence of a new spin-glass state. Phys. Rev. Lett. 71, 4059–4062 (1993). · DOI
- Braden, M. et al. Structural analysis of CuGeO3: Relation between nuclear structure and magnetic interaction. Phys. Rev. B 54, 1105–1116 (1996). · DOI
- Wang, Y. J. et al. Structural critical scattering study of Mg-doped CuGeO3 . Phys. Rev. Lett. 83, 1676–1679 (1999). · DOI
- Nakao, H. et al. Neutron scattering study of doped spin-Peierls compound (Cu1−xMgx)GeO3 . J. Phys. Chem. Solids 60, 1117–1119 (1999). · DOI
- Texier, C. & Hagendorf, C. . The effect of boundaries on the spectrum of a one-dimensional random mass Dirac Hamiltonian. J. Phys. A 43, 025002 (2010). · DOI
- Shankar, R. & Murthy, G. . Nearest-neighbor frustrated random-bond model in d=2: some exact results. Phys. Rev. B 36, 536–545 (1987). · DOI
- McKenzie, R. H. . Exact results for quantum phase transitions in random XY spin chains. Phys. Rev. Lett. 77, 4804–4807 (1996). · DOI
- Unanyan, R. G. et al. Spinor slow-light and dirac particles with variable mass. Phys. Rev. Lett. 105, 173603 (2010). · DOI
- Matthews, J. C. F. et al. Simulating quantum statistics with entangled photons: a continuous transition from bosons to fermions Preprint at http://arxiv.org/abs/1106.1166 (2011). · arXiv
- Longhi, S. . Klein tunneling in binary photonic superlattices. Phys. Rev. B 81, 075102 (2010). · DOI
- Dreisow, F. et al. Klein tunneling of light in waveguide superlattices. Europhys. Lett. 97, 10008 (2012). · DOI · Paper page
- Longhi, S. . Field-induced decay of the quantum vacuum: visualizing pair production in a classical photonic system. Phys. Rev. A 81, 022118 (2010). · DOI
- Dreisow, F., Longhi, S., Nolte, S., Tünnermann, A. & Szameit, A. . Vacuum instability and pair production in an optical setting. Phys. Rev. Lett. 109, 110401 (2012). · DOI · Paper page
- Zeuner, J. M. et al. Optical analogues for massless Dirac particles and conical diffraction in one dimension. Phys. Rev. Lett. 109, 023602 (2012). · DOI · Paper page
- Szameit, A. et al. Image reconstruction in segmented femtosecond laser-written waveguide arrays. Appl. Phys. Lett. 93, 181109 (2008). · DOI
- Dreisow, F. et al. Spectral resolved dynamic localization in curved fs laser written waveguide arrays. Opt. Express 16, 3474–3483 (2008). · DOI · Paper page
- Kramer, B. & MacKinnon, A. . Localization: theory and experiment. Rep. Prog. Phys. 56, 1469–1564 (1993). · DOI
- Szameit, A. et al. Wave localization at the boundary of disordered photonic lattices. Opt. Lett. 35, 1172–1174 (2010). · DOI
- Heinrich, M. et al. Disorder-enhanced nonlinear delocalization in segmented waveguide arrays. New J. Phys. 14, 073026 (2012). · DOI
- Martin, L. et al. Anderson localization in optical waveguide arrays with off-diagonal coupling disorder. Opt. Express 19, 13636–13646 (2011). · DOI
- Szameit, A., Pertsch, T., Nolte, S., Tünnermann, A. & Lederer, F. . Long-range interaction in waveguide lattices. Phys. Rev. A 77, 043804 (2008). · DOI
- Merz, F. & Chalker, J. T. . Two-dimensional random-bond Ising model, free fermions, and the network model. Phys. Rev. B 65, 054425 (2002). · DOI
- Heinrich, M. et al. Observation of two-dimensional superlattice solitons. Opt. Lett. 34, 3701–3703 (2009). · DOI
- Fallani, L., Lye, J. E., Guarrera, V., Fort, C. & Inguscio, M. . Ultracold atoms in a disordered crystal of light: towards a Bose glass. Phys. Rev. Lett. 98, 130404 (2007). · DOI
- Haddad, L. H. & Carr, L. D. . The nonlinear Dirac equation in Bose-Einstein condensates: Foundation and symmetries. Phys. D 238, 1413–1421 (2009). · DOI
- Lederer, F. et al. Discrete solitons in optics. Phys. Rep. 463, 1–126 (2008). · DOI · Paper page
Cited by
Sorted by citations
Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722
Dirac Dynamics in Waveguide Arrays: From Zitterbewegung to Photonic Topological Insulators
Dreisow, F., Rechtsman, M. C., Zeuner, J. M., Plotnik, Y., Keil, R., Nolte, S., Segev, M., & Szameit, A. (2017) · Quantum Science and Technology · doi:10.1007/978-3-319-52025-4_8 · Cited by 4
Self-citation
Metadata
- Authors
- Keil, R., Zeuner, J. M., Dreisow, F., Heinrich, M., Tünnermann, A., Nolte, S., & Szameit, A.
- Venue
- Nature Communications
- Published
- 2013-01-22
- Volume
- 4
- Issue
- 1
- ISSN
- 2041-1723
- Cited by
- 24
- References
- 9
- Language
- en
- Update notices
- erratum (2013-02-26)
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