Many-body localization in the Heisenberg XXZ magnet in a random field

By Marko Znidaric, Tomaz Prosen, P. Prelovšek. 2007

724 citations recorded by the source corpus.

We numerically investigate Heisenberg XXZ spin-1/2 chain in a spatially random static magnetic field. We find that tDMRG 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.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a3a00552104d58de2583c20a742dda2f2d7d1361

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. V. Khemani
2. D. Huse
3. A. Nahum
4. D. Abanin
5. I. Bloch
6. Tomaz Prosen
7. E. Altman
8. S. Gopalakrishnan

In Condensed Matter Physics

1. V. Khemani
2. D. Huse
3. J. Dubail
4. I. Bloch
5. Tomaz Prosen
6. J. Imbrie
7. A. Nahum
8. R. Nandkishore

In Statistical and Nonlinear Physics

1. V. Khemani
2. A. Nahum
3. D. Huse
4. Tomaz Prosen
5. I. Bloch
6. S. Gopalakrishnan
7. R. Nandkishore
8. E. Altman

Citations in the corpus

• Avalanches and many-body resonances in many-body localized systems (2021, background): “[8] Marko Žnidarič, Tomaž Prosen, and Peter Prelovšek, “Many-body localization in the heisenberg xxz magnet in a random field,” Phys.”
• Entanglement scaling of operators: a conformal field theory approach, with a glimpse of simulability of long-time dynamics in 1  +  1d (2016, positive): “In free fermion systems that are (Anderson) localized, the OSEE of U(t) must be bounded, while in many-body localized phases, it must grow logarithmically [33, 77, 78].”
• Pre-thermal phases of matter protected by time-translation symmetry (2016, background): “[57] Marko Z̆nidaric̆, Tomaz̆ Prosen, and Peter Prelovs̆ek, “Many-body localization in the Heisenberg XXZ magnet in a random field,” Phys.”
• Entanglement Spreading in a Minimal Model of Maximal Many-Body Quantum Chaos (2018, neutral): “Known exceptions to this empirical fact are systems exhibiting realspace localization [16,46], confinement [47], and quenched disorder creating weak links [48].”
• Localization-protected quantum order (2013, background): “[13] Znidaric, M.”