SciPost Physics

SciPost Phys. 7, 042 (2019) · published 3 October 2019

• doi: 10.21468/SciPostPhys.7.4.042
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Abstract

Many-body localisation is studied in a disordered quantum spin-1/2 chain with long-ranged power-law interactions, and distinct power-law exponents for interactions between longitudinal and transverse spin components. Using a self-consistent mean-field theory centring on the local propagator in Fock space and its associated self-energy, a localisation phase diagram is obtained as a function of the power-law exponents and the disorder strength of the random fields acting on longitudinal spin-components. Analytical results are corroborated using the well-studied and complementary numerical diagnostics of level statistics, entanglement entropy, and participation entropy, obtained via exact diagonalisation. We find that increasing the range of interactions between transverse spin components hinders localisation and enhances the critical disorder strength. In marked contrast, increasing the interaction range between longitudinal spin components is found to enhance localisation and lower the critical disorder.

• Russomanno et al., Quantum chaos and ensemble inequivalence of quantum long-range Ising chains
  Phys. Rev. B 104, 094309 (2021) [Crossref]
• Vu et al., Fermionic Many-Body Localization for Random and Quasiperiodic Systems in the Presence of Short- and Long-Range Interactions
  Phys. Rev. Lett. 128, 146601 (2022) [Crossref]
• Bhakuni et al., Stability of electric field driven many-body localization in an interacting long-range hopping model
  Phys. Rev. B 102, 085133 (2020) [Crossref]
• Ghosh et al., Spectral properties of disordered interacting non-Hermitian systems
  Phys. Rev. B 106, 134202 (2022) [Crossref]
• Modak et al., Many-body dynamics in long-range hopping models in the presence of correlated and uncorrelated disorder
  Phys. Rev. Research 2, 012074 (2020) [Crossref]
• Modak et al., Many-body localization in a long-range model: Real-space renormalization-group study
  Phys. Rev. E 101, 052108 (2020) [Crossref]
• Zhang et al., Surface crossing and energy flow in many-dimensional quantum systems
  Proc. Natl. Acad. Sci. U.S.A. 120, e2221690120 (2023) [Crossref]
• Creed et al., Probability transport on the Fock space of a disordered quantum spin chain
  Phys. Rev. B 107, 094206 (2023) [Crossref]
• Roy et al., Fock-space anatomy of eigenstates across the many-body localization transition
  Phys. Rev. B 104, 174201 (2021) [Crossref]
• Roy, Anatomy of localisation protected quantum order on Hilbert space
  J. Phys.: Condens. Matter 35, 415601 (2023) [Crossref]
• Yousefjani et al., Floquet-induced localization in long-range many-body systems
  Phys. Rev. Research 5, 013094 (2023) [Crossref]
• Dieplinger et al., Finite-size prethermalization at the chaos-to-integrable crossover
  Phys. Rev. B 107, 224207 (2023) [Crossref]
• Thomson et al., Quasi-many-body localization of interacting fermions with long-range couplings
  Phys. Rev. Research 2, 043368 (2020) [Crossref]
• Dieplinger et al., An SYK-inspired model with density–density interactions: Spectral & wave function statistics, Green’s function and phase diagram
  Annals of Physics 435, 168503 168503 (2021) [Crossref]
• Buijsman et al., Circular Rosenzweig-Porter random matrix ensemble
  SciPost Phys. 12, 082 (2022) [Crossref]
• Roy et al., Localization on Certain Graphs with Strongly Correlated Disorder
  Phys. Rev. Lett. 125, 250402 (2020) [Crossref]
• Braemer et al., Pair localization in dipolar systems with tunable positional disorder
  Phys. Rev. B 106, 134212 (2022) [Crossref]
• Yousefjani et al., Mobility edge in long-range interacting many-body localized systems
  Phys. Rev. B 107, 045108 (2023) [Crossref]
• Stanley et al., Screening the Coulomb interaction leads to a prethermal regime in two-dimensional bad conductors
  Nat Commun 14, 7004 (2023) [Crossref]
• Roy et al., Fock-space correlations and the origins of many-body localization
  Phys. Rev. B 101, 134202 (2020) [Crossref]
• Sugimoto et al., Test of the Eigenstate Thermalization Hypothesis Based on Local Random Matrix Theory
  Phys. Rev. Lett. 126, 120602 (2021) [Crossref]
• Nandkishore, Critical localization with van der Waals interactions
  Phys. Rev. B 106, L060306 (2022) [Crossref]
• Li et al., Hilbert Space Shattering and Disorder-Free Localization in Polar Lattice Gases
  Phys. Rev. Lett. 127, 260601 (2021) [Crossref]
• Defenu et al., Long-range interacting quantum systems
  Rev. Mod. Phys. 95, 035002 (2023) [Crossref]
• Lerose et al., Origin of the slow growth of entanglement entropy in long-range interacting spin systems
  Phys. Rev. Research 2, 012041 (2020) [Crossref]
• Mohdeb et al., Global quench dynamics and the growth of entanglement entropy in disordered spin chains with tunable range interactions
  Phys. Rev. B 108, L140203 (2023) [Crossref]
• Bhakuni et al., Suppression of heating by long-range interactions in periodically driven spin chains
  Phys. Rev. B 104, L140301 (2021) [Crossref]
• Deng et al., Anisotropy-mediated reentrant localization
  SciPost Phys. 13, 116 (2022) [Crossref]
• Kloss et al., Spin transport in disordered long-range interacting spin chain
  Phys. Rev. B 102, 060201 (2020) [Crossref]
• Maksymov et al., Many-body localization in spin chains with long-range transverse interactions: Scaling of critical disorder with system size
  Phys. Rev. B 101, 024201 (2020) [Crossref]
• Huang et al., Incommensurate many-body localization in the presence of long-range hopping and single-particle mobility edge
  Phys. Rev. B 107, 035129 (2023) [Crossref]
• Sierant et al., Polynomially Filtered Exact Diagonalization Approach to Many-Body Localization
  Phys. Rev. Lett. 125, 156601 (2020) [Crossref]
• Prasad et al., Many-body localization and enhanced nonergodic subdiffusive regime in the presence of random long-range interactions
  Phys. Rev. B 103, 064203 (2021) [Crossref]
• Roy et al., Strong ergodicity breaking due to local constraints in a quantum system
  Phys. Rev. Research 2, 023159 (2020) [Crossref]
• Deng et al., Universal Algebraic Growth of Entanglement Entropy in Many-Body Localized Systems with Power-Law Interactions
  Phys. Rev. Lett. 125, 010401 (2020) [Crossref]
• Cheng, Many-body localization in clean chains with long-range interactions
  Phys. Rev. B 108, 155113 (2023) [Crossref]