Localization and topological transitions in generalized non-Hermitian SSH models

• URL: http://arxiv.org/abs/2212.12288v3
• Date: Wed, 22 Mar 2023 12:37:19 GMT
• Title: Localization and topological transitions in generalized non-Hermitian SSH models
• Authors: X. Q. Sun and C. S. Liu
• Abstract summary: We study the localization and topological transitions of the generalized non-Hermitian SSH models. We elucidate the universality of the models and how many models can be mapped to them.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the localization and topological transitions of the generalized non-Hermitian SSH models, where the non-Hermiticities are introduced by the complex quasiperiodic hopping and the nonreciprocal hopping. We elucidate the universality of the models and how many models can be mapped to them. Under the open boundary condition, two delocalization transitions are found due to the competition between the Anderson localization and the boundary localization from the nontrivial edge states and the non-Hermitian skin effect. Under the periodic boundary condition, only one delocalization transition is found due to the disappearance of the non-Hermitian skin effect. The winding numbers of energy and the Lyapunov exponents in analytical form are obtained to exactly characterize the two deloaclizateon transitions. It finds that the delocalization transitions don't accompany the topological transition. Furthermore, the large on-site non-Hermiticity and the large nonreciprocal hopping are all detrimental to the topological transitions. However, the large nonreciprocal hopping enhances the Anderson localizations. The above analyses are verified by calculating the energy gap and the inverse of the participation ratio numerically.

Related papers

• Gapless Floquet topology [40.2428948628001]
  We study the existence of topological edge zero- and pi-modes despite the lack of bulk gaps in the quasienergy spectrum. We numerically study the effect of interactions, which give a finite lifetime to the edge modes in the thermodynamic limit with the decay rate consistent with Fermi's Golden Rule.
  arXiv  Detail & Related papers  (2024-11-04T19:05:28Z)
• Non-Hermitian Aubry-André-Harper model with short- and long-range p-wave pairing [14.37149160708975]
  We investigate a non-Hermitian Aubry-Andr'e-Harper model with short-range, as well as long-range p-wave pairing. We observe the emergence of Majorana zero modes in the case of short-range pairing, whereas massive Dirac modes emerge in the case of long-range pairing.
  arXiv  Detail & Related papers  (2023-11-08T11:14:10Z)
• Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
  We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
  arXiv  Detail & Related papers  (2023-01-18T09:26:02Z)
• Continuous phase transition induced by non-Hermiticity in the quantum contact process model [44.58985907089892]
  How the property of quantum many-body system especially the phase transition will be affected by the non-hermiticity remains unclear. We show that there is a continuous phase transition induced by the non-hermiticity in QCP. We observe that the order parameter and susceptibility display infinitely even for finite size system, since non-hermiticity endows universality many-body system with different singular behaviour from classical phase transition.
  arXiv  Detail & Related papers  (2022-09-22T01:11:28Z)
• Reentrant Localized Bulk and Localized-Extended Edge in Quasiperiodic Non-Hermitian Systems [1.4638370614615002]
  The localization is one of the active and fundamental research in topology physics. We propose a novel systematic method to analyze the localization behaviors for the bulk and the edge, respectively.
  arXiv  Detail & Related papers  (2022-07-01T02:49:23Z)
• Topological Anderson insulators with different bulk states in quasiperiodic chains [1.6530012863603747]
  We investigate the topology and localization of one-dimensional Hermitian and non-Hermitian Su-Schrieffer-Heeger chains with quasiperiodic hopping modulations. We show the presence of topological extended, intermediate, and localized phases due to the coexistence of independent topological and localization phase transitions.
  arXiv  Detail & Related papers  (2022-01-04T05:32:43Z)
• Topological transitions with continuously monitored free fermions [68.8204255655161]
  We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits. We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
  arXiv  Detail & Related papers  (2021-12-17T22:01:54Z)
• Dimerization induced mobility edges and multiple reentrant localization transitions in non-Hermitian quasicrystals [0.0]
  Non-Hermitian effects could create rich dynamical and topological phase structures. We show that the collaboration between lattice dimerization and non-Hermiticity could generally bring about mobility edges and multiple localization transitions in one-dimensional quasicrystals.
  arXiv  Detail & Related papers  (2021-11-16T13:01:48Z)
• Topological delocalization transitions and mobility edges in the nonreciprocal Maryland model [0.0]
  Non-Hermitian effects could trigger spectrum, localization and topological phase transitions in quasiperiodic lattices. We propose a non-Hermitian extension of the Maryland model, which forms a paradigm in the study of localization and quantum chaos. Explicit expressions of the complex energy dispersions, phase boundaries and mobility edges are found.
  arXiv  Detail & Related papers  (2021-08-16T15:35:52Z)
• Localization and topological transitions in non-Hermitian quasiperiodic lattices [1.6530012863603747]
  We investigate the localization and topological transitions in a one-dimensional non-Hermitian quasiperiodic lattice. For interacting spinless fermions, we demonstrate that the extended phase and the many-body localized phase can be identified by the entanglement entropy of eigenstates.
  arXiv  Detail & Related papers  (2021-01-14T08:56:18Z)
• Observing localisation in a 2D quasicrystalline optical lattice [52.77024349608834]
  We experimentally and numerically study the ground state of non- and weakly-interacting bosons in an eightfold symmetric optical lattice. We find extended states for weak lattices but observe a localisation transition at a lattice depth of $V_0.78(2),E_mathrmrec$ for the non-interacting system.
  arXiv  Detail & Related papers  (2020-01-29T15:54:42Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.