Bulk-Edge Correspondence for Point-Gap Topological Phases in Junction Systems

• URL: http://arxiv.org/abs/2305.08548v3
• Date: Thu, 26 Oct 2023 08:05:32 GMT
• Title: Bulk-Edge Correspondence for Point-Gap Topological Phases in Junction Systems
• Authors: Geonhwi Hwang and Hideaki Obuse
• Abstract summary: We establish the bulk-edge correspondence for point-gap topological phases in junction systems. Almost all the eigenstates are localized near the interface which are called the "non-Hermitian proximity effects"
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The bulk-edge correspondence is one of the most important ingredients in the theory of topological phases of matter. While the bulk-edge correspondence is applicable for Hermitian junction systems where two subsystems with independent topological invariants are connected to each other, it has not been discussed for junction systems with non-Hermitian point-gap topological phases. In this Letter, based on analytical results obtained by the extension of non-Bloch band theory to junction systems, we establish the bulk-edge correspondence for point-gap topological phases in junction systems. We also confirm that almost all the eigenstates are localized near the interface which are called the "non-Hermitian proximity effects". One of the unique properties is that the localization length becomes the same for both subsystems nevertheless those model-parameters are different.

Related papers

• Breakdown of boundary criticality and exotic topological semimetals in $\mathcal{P}\mathcal{T}$-invariant systems [2.253370796182325]
  We show that periodic driving can break the boundary criticality of a PT-invariant system. We discover exotic second-order Dirac and nodal-line semimetals with coexisting surface and hinge Fermi arcs.
  arXiv  Detail & Related papers  (2024-09-09T08:38:27Z)
• Entanglement phase transitions in non-Hermitian Kitaev chains [0.0]
  Loss-induced entanglement transitions are found in non-Hermitian topological superconductors. Log-law to log-law and log-law to area-law entanglement phase transitions are identified when the system switches between different topological phases.
  arXiv  Detail & Related papers  (2024-02-05T13:39:19Z)
• Softening of Majorana edge states by long-range couplings [77.34726150561087]
  Long-range couplings in the Kitaev chain is shown to modify the universal scaling of topological states close to the critical point. We prove that the Majorana states become increasingly delocalised at a universal rate which is only determined by the interaction range.
  arXiv  Detail & Related papers  (2023-01-29T19:00:08Z)
• On Topology of the Moduli Space of Gapped Hamiltonians for Topological Phases [0.0]
  We study the moduli space of gapped Hamiltonians in the same topological phase. We show that nontrivial family of gapped systems with the same topological order can protect isolated phase transitions. We argue that family of gapped systems obey a version of bulk-boundary correspondence.
  arXiv  Detail & Related papers  (2022-11-29T19:01:18Z)
• From Hermitian critical to non-Hermitian point-gapped phases [0.0]
  We show the equivalence of topological invariants in critical systems with non-hermitian point-gap phases. This correspondence may carry over to other features beyond topological invariants.
  arXiv  Detail & Related papers  (2022-11-24T17:16:20Z)
• Bulk-boundary correspondence in point-gap topological phases [0.0]
  A striking feature of non-Hermitian systems is the presence of two different types of topology. One generalizes Hermitian topological phases, the other is intrinsic to non-Hermitian systems. This Letter establishes the bulk-boundary correspondence in the point-gap topology in non-Hermitian systems.
  arXiv  Detail & Related papers  (2022-05-31T09:26:44Z)
• 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)
• Bridging the gap between topological non-Hermitian physics and open quantum systems [62.997667081978825]
  We show how to detect a transition between different topological phases by measuring the response to local perturbations. Our formalism is exemplified in a 1D Hatano-Nelson model, highlighting the difference between the bosonic and fermionic cases.
  arXiv  Detail & Related papers  (2021-09-22T18:00:17Z)
• Localisation in quasiperiodic chains: a theory based on convergence of local propagators [68.8204255655161]
  We present a theory of localisation in quasiperiodic chains with nearest-neighbour hoppings, based on the convergence of local propagators. Analysing the convergence of these continued fractions, localisation or its absence can be determined, yielding in turn the critical points and mobility edges. Results are exemplified by analysing the theory for three quasiperiodic models covering a range of behaviour.
  arXiv  Detail & Related papers  (2021-02-18T16:19:52Z)
• Self-consistent theory of mobility edges in quasiperiodic chains [62.997667081978825]
  We introduce a self-consistent theory of mobility edges in nearest-neighbour tight-binding chains with quasiperiodic potentials. mobility edges are generic in quasiperiodic systems which lack the energy-independent self-duality of the commonly studied Aubry-Andr'e-Harper model.
  arXiv  Detail & Related papers  (2020-12-02T19:00:09Z)
• Dynamical solitons and boson fractionalization in cold-atom topological insulators [110.83289076967895]
  We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities. We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors. Using a pumping argument, we show that it survives also for finite interactions.
  arXiv  Detail & Related papers  (2020-03-24T17:31:34Z)

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.