Connecting Topological Anderson and Mott Insulators in Disordered Interacting Fermionic Systems

• URL: http://arxiv.org/abs/2105.03645v2
• Date: Tue, 27 Jul 2021 00:27:31 GMT
• Title: Connecting Topological Anderson and Mott Insulators in Disordered Interacting Fermionic Systems
• Authors: Guo-Qing Zhang, Ling-Zhi Tang, Ling-Feng Zhang, Dan-Wei Zhang, and Shi-Liang Zhu
• Abstract summary: We combine the two seemingly different topological phases into a system of spin-1/2 interacting fermionic atoms in a disordered optical lattice. We find that the topological Anderson and Mott insulators in the noninteracting and clean limits can be adiabatically connected without gap closing. We develop an approach to provide a unified and clear description of topological phase transitions driven by interaction and disorder.
• Score: 1.5407629399378573
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The topological Anderson and Mott insulators are two phases that have so far been separately and widely explored beyond topological band insulators. Here we combine the two seemingly different topological phases into a system of spin-1/2 interacting fermionic atoms in a disordered optical lattice. We find that the topological Anderson and Mott insulators in the noninteracting and clean limits can be adiabatically connected without gap closing in the phase diagram of our model. Lying between the two phases, we uncover a disordered correlated topological insulator, which is induced from a trivial band insulator by the combination of disorder and interaction, as the generalization of topological Anderson insulators to the many-body interacting regime. The phase diagram is determined by computing various topological properties and confirmed by unsupervised and automated machine learning. We develop an approach to provide a unified and clear description of topological phase transitions driven by interaction and disorder. The topological phases can be detected from disorder/interaction induced edge excitations and charge pumping in optical lattices.

Related papers

• Topological p-wave Superconductors with Disorder and Interactions [0.0]
  We show for the first time that the double critical Ising (DCI) phase is stabilized by strong interactions against disorder. In the presence of an inter-wire hopping term, the DCI phase turns into a protected topological phase with a bulk gap.
  arXiv  Detail & Related papers  (2024-08-04T18:09:35Z)
• 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)
• Driven-dissipative topological phases in parametric resonator arrays [62.997667081978825]
  We find two phases of topological amplification, both with directional transport and exponential gain with the number of sites, and one of them featuring squeezing. We characterize the resilience to disorder of the different phases and their stability, gain, and noise-to-signal ratio. We discuss their experimental implementation with state-of-the-art techniques.
  arXiv  Detail & Related papers  (2022-07-27T18:00:05Z)
• Accessing the topological Mott insulator in cold atom quantum simulators with realistic Rydberg dressing [58.720142291102135]
  We investigate a realistic scenario for the quantum simulation of such systems using cold Rydberg-dressed atoms in optical lattices. We perform a detailed analysis of the phase diagram at half- and incommensurate fillings, in the mean-field approximation. We furthermore study the stability of the phases with respect to temperature within the mean-field approximation.
  arXiv  Detail & Related papers  (2022-03-28T14:55:28Z)
• 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)
• Devil's staircase of topological Peierls insulators and Peierls supersolids [0.0]
  We consider a mixture of ultracold bosonic atoms on a one-dimensional lattice described by the XXZ-Bose-Hubbard model. We show how the inclusion of antiferromagnetic interactions among the spin degrees of freedom generates a Devil's staircase of symmetry-protected topological phases.
  arXiv  Detail & Related papers  (2020-11-18T11:58:16Z)
• Topological Anderson insulators in two-dimensional non-Hermitian disordered systems [1.8057851545459673]
  We study the interplay in a non-Hermitian disordered Chern-insulator model with two typical kinds of non-Hermiticities. The nonreciprocal hopping (the gain-and-loss effect) can enlarge (reduce) the topological regions. The topological Anderson insulators induced by disorders can exist under both kinds of non-Hermiticities.
  arXiv  Detail & Related papers  (2020-05-27T07:08:04Z)
• 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)
• Observation of Time-Reversal Invariant Helical Edge-Modes in Bilayer Graphene/WSe$_2$ Heterostructure [0.4899818550820575]
  Topological insulators, along with Chern insulators and Quantum Hall insulator phases, are considered as paradigms for symmetry protected topological phases of matter. This article reports the experimental realization of the time-reversal invariant helical edge-modes in bilayer graphene/monolayer WSe$$-based heterostructures.
  arXiv  Detail & Related papers  (2020-03-23T14:22:32Z)

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.