The DOI matches its Crossref record; 29 of the 29 references it cites were found in a registry or an index.
Many-body localization in the HeisenbergXXZmagnet in a random field
Open accessAbstract
We numerically investigate Heisenberg $XXZ$ spin-$1∕2$ chain in a spatially random static magnetic field. We find that time-dependent density-matrix renormalization group simulations of time evolution can be performed efficiently, namely, the dimension of matrices needed to efficiently represent the time evolution increases linearly with time and entanglement entropies for typical chain bipartitions increase logarithmically. As a result, we show that for large enough random fields, infinite temperature spin-spin correlation function displays exponential localization in space indicating insulating behavior of the model.
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Cites
Efficient Classical Simulation of Slightly Entangled Quantum Computations
Vidal, G. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.147902 · Cited by 2,368
Basko, D. M., Aleiner, I. L., & Altshuler, B. L. (2006) · Annals of Physics · doi:10.1016/j.aop.2005.11.014 · Cited by 2,015
Localization: theory and experiment
Kramer, B., & MacKinnon, A. (1993) · Reports on Progress in Physics · doi:10.1088/0034-4885/56/12/001 · Cited by 1,926
Localization of interacting fermions at high temperature
Oganesyan, V., & Huse, D. A. (2007) · Physical Review B · doi:10.1103/physrevb.75.155111 · Cited by 1,833
Efficient Simulation of One-Dimensional Quantum Many-Body Systems
Vidal, G. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.040502 · Cited by 1,779
Real-Time Evolution Using the Density Matrix Renormalization Group
White, S. R., & Feiguin, A. E. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.076401 · Cited by 1,398
Matrix Product Density Operators: Simulation of Finite-Temperature and Dissipative Systems
Verstraete, F., García-Ripoll, J. J., & Cirac, J. I. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.207204 · Cited by 1,098
Statistics of energy levels and eigenfunctions in disordered systems
Mirlin, A. (2000) · Physics Reports · doi:10.1016/s0370-1573(99)00091-5 · Cited by 684
Zwolak, M., & Vidal, G. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.207205 · Cited by 657
Statistics of spectra of disordered systems near the metal-insulator transition
Shklovskii, B. I., Shapiro, B., Sears, B. R., Lambrianides, P., & Shore, H. B. (1993) · Physical Review B · doi:10.1103/physrevb.47.11487 · Cited by 617
Cited by
Many-Body Localization and Thermalization in Quantum Statistical Mechanics
Nandkishore, R., & Huse, D. A. (2015) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031214-014726 · Cited by 2,376
Observation of many-body localization of interacting fermions in a quasirandom optical lattice
Schreiber, M., Hodgman, S. S., Bordia, P., Lüschen, H. P., Fischer, M. H., Vosk, R., Altman, E., Schneider, U., & Bloch, I. (2015) · Science · doi:10.1126/science.aaa7432 · Cited by 1,724
Many-body localization phase transition
Pal, A., & Huse, D. A. (2010) · Physical Review B · doi:10.1103/physrevb.82.174411 · Cited by 1,495
Quantum thermalization through entanglement in an isolated many-body system
Kaufman, A. M., Tai, M. E., Lukin, A., Rispoli, M., Schittko, R., Preiss, P. M., & Greiner, M. (2016) · Science · doi:10.1126/science.aaf6725 · Cited by 1,116
Exploring the many-body localization transition in two dimensions
Choi, J.-Y., Hild, S., Zeiher, J., Schauß, P., Rubio-Abadal, A., Yefsah, T., Khemani, V., Huse, D. A., Bloch, I., & Gross, C. (2016) · Science · doi:10.1126/science.aaf8834 · Cited by 979
Metadata
- Authors
- Žnidarič, M., Prosen, T., & Prelovšek, P.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2008-02-25
- Volume
- 77
- Issue
- 6
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W1999423794
- Cited by
- 955
- References
- 29
- FWCI
- 3.48
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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