Topological phases of an interacting Majorana Benalcazar-Bernevig-Hughes model

• URL: http://arxiv.org/abs/2202.11450v2
• Date: Thu, 24 Feb 2022 10:40:03 GMT
• Title: Topological phases of an interacting Majorana Benalcazar-Bernevig-Hughes model
• Authors: Alfonso Maiellaro, Fabrizio Illuminati, Roberta Citro
• Abstract summary: We study the effects of Coulomb repulsive interactions on a Majorana Benalcazar-Bernevig-Hughes (MBBH) model. The MBBH model belongs to the degenerate class of second-order topological superconductors.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the effects of Coulomb repulsive interactions on a Majorana Benalcazar-Bernevig-Hughes (MBBH) model. The MBBH model belongs to the class of second--order topological superconductors ($HOTSC_2$), featuring robust Majorana corner modes. We consider an interacting strip of four chains of length $L$ and perform a DMRG numerical analysis based on a tensor--network approach. Study of the nonlocal fermionic correlations and of the degenerate entanglement spectrum indicates that the topological phases are robust in the presence of interactions, even in the strongly interacting regime.

Related papers

• Entanglement in quenched extended Su-Schrieffer-Heeger model with anomalous dynamical quantum phase transitions [0.0]
  We study dynamical quantum phase transitions (DQPTs) in the quenched extended Su-Schrieffer-Heeger (SSH) model. Anomalous DQPTs, where the number of critical momenta exceeds the winding number differences between the pre-quench and post-quench phases, are observed. We categorize the phases in the equilibrium model into two classes and distinctive features in the time evolution of the entanglement involving quenches within and across the two classes are identified.
  arXiv  Detail & Related papers  (2024-07-22T02:35:34Z)
• Topological phases of extended Su-Schrieffer-Heeger-Hubbard model [0.4741080054419136]
  We show that an extended Su-Schrieffer-Heeger-Hubbard model exhibits rich topological phases, characterized by robust edge states against interaction. We quantify the properties of these edge states by analyzing spin correlation and second-order R'enyi entanglement entropy. Our work provides a paradigm studying topological properties in large interacting systems via the CP-AFQMC algorithm.
  arXiv  Detail & Related papers  (2024-05-16T13:44:03Z)
• Bond-Order Density Wave Phases in Dimerized Extended Bose-Hubbard Models [0.0]
  Bond-order density wave phases (BODW) are characterized in terms of their symmetry breaking and topological properties. Our work provides the bridge between interacting and non-interacting BODW phases and highlights the significance of long-range interactions in a dimerized lattice.
  arXiv  Detail & Related papers  (2024-03-11T12:15:18Z)
• Higher-order topological Peierls insulator in a two-dimensional atom-cavity system [58.720142291102135]
  We show how photon-mediated interactions give rise to a plaquette-ordered bond pattern in the atomic ground state. The pattern opens a non-trivial topological gap in 2D, resulting in a higher-order topological phase hosting corner states. Our work shows how atomic quantum simulators can be harnessed to investigate novel strongly-correlated topological phenomena.
  arXiv  Detail & Related papers  (2023-05-05T10:25:14Z)
• 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)
• New insights on the quantum-classical division in light of Collapse Models [63.942632088208505]
  We argue that the division between quantum and classical behaviors is analogous to the division of thermodynamic phases. A specific relationship between the collapse parameter $(lambda)$ and the collapse length scale ($r_C$) plays the role of the coexistence curve in usual thermodynamic phase diagrams.
  arXiv  Detail & Related papers  (2022-10-19T14:51:21Z)
• Probing Majorana Modes via Local Spin Dynamics [0.0]
  We study Majorana modes in a quantum spin chain with bond-dependent exchange interactions. Here, we consider two-time correlations for the Kitaev-Heisenberg (KH) Hamiltonian close to the so-called Kitaev critical point. We derive perturbative interactions that map the KH spin chain onto the topological regime of Kitaev's fermionic model.
  arXiv  Detail & Related papers  (2021-12-30T12:40:53Z)
• 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)
• 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)
• Quantum dynamics in low-dimensional topological systems [0.0]
  We study the quantum dynamics that take place in low dimensional topological systems, specifically 1D and 2D lattices. We find that the topological nature of the bath reflects itself in the photon bound states and the effective dipolar interactions between the emitters.
  arXiv  Detail & Related papers  (2020-08-05T10:58:35Z)
• 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.