Many-body localization and symmetry-protected topological order

By Anushya Chandran, V. Khemani, C. Laumann, Shiv Sondhi. 2013

155 citations recorded by the source corpus.

Recent work shows that highly excited many-body localized eigenstates can exhibit broken symmetries and topological order, including in dimensions where such order would be forbidden in equilibrium. In this paper we extend this analysis to discrete symmetry-protected order via the explicit examples of the Haldane phase of one-dimensional spin chains and the topological Ising paramagnet in two dimensions. We comment on the challenge of extending these results to cases where the protecting symmetry is continuous.

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

View Paper: https://www.semanticscholar.org/paper/0ae052021481f7e499caeacef9deec103ef8d337

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. Abanin
3. Maksym Serbyn
4. I. Bloch
5. S. Gopalakrishnan
6. E. Altman
7. D. Huse
8. Ashvin Vishwanath

In Condensed Matter Physics

1. V. Khemani
2. I. Bloch
3. Ashvin Vishwanath
4. D. Abanin
5. E. Altman
6. D. Huse
7. Maksym Serbyn
8. Antonello Scardicchio

Citations in the corpus

• Chiral floquet phases of many-body localized bosons (2016, unknown): “[6,7,13,14], the more fundamental 2D chiral topological”
• Constructing local integrals of motion in the many-body localized phase (2014, unknown): “[17] Anushya Chandran, Vedika Khemani, C.”
• Integrals of motion in the many-body localized phase (2014, background): “Many-body localization opens the interesting possibilities of protection of topological order at finite temperature or of phase transitions below the equilibrium lower critical dimension [18, 19, 20, 21, 22, 23]).”
• Statistical localization: From strong fragmentation to strong edge modes (2019, background): “This is reminiscent to the appearance of topological order in excited states of MBL systems [59, 60].”
• Classification of Interacting Topological Floquet Phases in One Dimension (2016, background): “cooling, a feature common to all 1D MBL SPT phases [23,24].”
• Colloquium : Many-body localization, thermalization, and entanglement (2018, background): “Further, Bahri et al. (2015) and Chandran et al. (2014) considered certain models of symmetry-protected topological (SPT) phases, arguing that they can be MBL.”
• Many-body localization: An introduction and selected topics (2017, unknown): “The outcome of this analysis [126,127] is the distinction between a non-diverging typical localization length and an average localization length that diverges from the MBL side, but stays finite in the thermal side up to the transition point – hence showing again both continuous and discontinuous…”
• Low-frequency conductivity in many-body localized systems (2015, background): “[13] A.”
• Avalanches and many-body resonances in many-body localized systems (2021, unknown): “[15] Anushya Chandran, Vedika Khemani, C.”