Topological phases in the presence of disorder and longer-range couplings

• URL: http://arxiv.org/abs/2212.07454v2
• Date: Wed, 26 Apr 2023 18:28:42 GMT
• Title: Topological phases in the presence of disorder and longer-range couplings
• Authors: Gianluca Francica, Edoardo Maria Tiburzi, Luca Dell'Anna
• Abstract summary: We study the combined effects of disorder and range of the couplings on the phase diagram of one-dimensional topological superconductors. Deriving the conditions for the existence of Majorana zero modes, we show that either the range and the on-site disorder can greatly enhance the topological phases.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the combined effects of disorder and range of the couplings on the phase diagram of one-dimensional topological superconductors. We consider an extended version of the Kitaev chain where hopping and pairing terms couple many sites. Deriving the conditions for the existence of Majorana zero modes, we show that either the range and the on-site disorder can greatly enhance the topological phases characterized by the appearance of one or many Majorana modes localized at the edges. We consider both a discrete and a continuous disorder distribution. Moreover we discuss the role of correlated disorder which might further widen the topological regions. Finally we show that in the purely long-range regime and in the presence of disorder, the spatial decay of the edge modes remains either algebraic or exponential, with eventually a modified localization length, as in the absence of disorder.

Related papers

• Phase diagram of the disordered Kitaev chain with long range pairing connected to external baths [0.0]
  We study the interplay between topology and disorder in the disodered Kitaev model with long range pairing. We study how the phase diagram of the system is affected by the disorder by monitoring the subgap modes at increasing disorder.
  arXiv  Detail & Related papers  (2024-11-14T13:18:23Z)
• 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)
• Critical spin models from holographic disorder [49.1574468325115]
  We study the behavior of XXZ spin chains with a quasiperiodic disorder not present in continuum holography. Our results suggest the existence of a class of critical phases whose symmetries are derived from models of discrete holography.
  arXiv  Detail & Related papers  (2024-09-25T18:00:02Z)
• 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)
• Role of boundary conditions in the full counting statistics of topological defects after crossing a continuous phase transition [62.997667081978825]
  We analyze the role of boundary conditions in the statistics of topological defects. We show that for fast and moderate quenches, the cumulants of the kink number distribution present a universal scaling with the quench rate.
  arXiv  Detail & Related papers  (2022-07-08T09:55:05Z)
• Topological squashed entanglement: nonlocal order parameter for one-dimensional topological superconductors [0.0]
  We show the end-to-end, long-distance, bipartite squashed entanglement between the edges of a many-body system. For the Kitaev chain in the entire topological phase, the edge squashed entanglement is quantized to log(2)/2, half the maximal Bell-state entanglement, and vanishes in the trivial phase. Such topological squashed entanglement exhibits the correct scaling at the quantum phase transition, is stable in the presence of interactions, and is robust against disorder and local perturbations.
  arXiv  Detail & Related papers  (2022-01-28T10:57:51Z)
• Topological transitions and Anderson localization of light in disordered atomic arrays [0.0]
  We study the interplay of disorder and topological phenomena in honeycomb lattices of atoms coupled by the electromagnetic field. On the one hand, disorder can trigger insulator transitions between distinct topological phases and drive the lattice into the topological Anderson state. We find that disorder can both open a topological pseudogap in the spectrum of an otherwise topologically trivial system and introduce spatially localized modes inside it.
  arXiv  Detail & Related papers  (2021-12-29T17:44:02Z)
• 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)
• Qubit-photon bound states in topological waveguides with long-range hoppings [62.997667081978825]
  Quantum emitters interacting with photonic band-gap materials lead to the appearance of qubit-photon bound states. We study the features of the qubit-photon bound states when the emitters couple to the bulk modes in the different phases. We consider the coupling of emitters to the edge modes appearing in the different topological phases.
  arXiv  Detail & Related papers  (2021-05-26T10:57:21Z)
• 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.