Related papers: Kane-Mele with a twist: Quasicrystalline higher-order topological insulators with fractional mass kinks

Kane-Mele with a twist: Quasicrystalline higher-order topological insulators with fractional mass kinks

URL: http://arxiv.org/abs/2001.05511v2
Date: Thu, 16 Jul 2020 10:01:07 GMT
Title: Kane-Mele with a twist: Quasicrystalline higher-order topological insulators with fractional mass kinks
Authors: Stephen Spurrier, Nigel R. Cooper
Abstract summary: We show that localized modes at corners, characteristic of a HOTI, are not associated with conventional mass inversions. We also derive a relationship between corner modes in a bilayer and disclination modes in a single layer.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We establish an analytic low-energy theory describing higher-order topological insulator (HOTI) phases in quasicrystalline systems. We apply this to a model consisting of two stacked Haldane models with oppositely propagating edge modes, analogous to the Kane-Mele model, and with a $30^\circ$ twist. We show that the resulting localized modes at corners, characteristic of a HOTI, are not associated with conventional mass inversions but are instead associated with what we dub "fractional mass kinks". By generalizing the low-energy theory, we establish a classification for arbitrary $ n $-fold rotational symmetries. We also derive a relationship between corner modes in a bilayer and disclination modes in a single layer. By using numerics to go beyond the weak-coupling limit, we show that a hierarchy of additional gaps occurs due to the quasiperiodicity, which also harbor corner-localized modes.

Related papers

Intrinsically Interacting Higher-Order Topological Superconductors [19.52773844535185]
We propose a minimal interacting lattice model for two-dimensional class-$D$ higher-order topological superconductors. A Lieb-Schultz-Mattis-type constraint is proposed and applied to guide our lattice model construction.
arXiv Detail & Related papers (2022-12-26T04:48:28Z)
Explicit derivation of the chiral and (generic) helical edge states for the Kane-Mele model: Closed expressions for the wave function, dispersion relation, and spin rotation [1.2999413717930817]
We focus on the Kane-Mele model with and without Rashba spin-orbit coupling as a well-known model. We derive explicit expressions for the wave functions, energy dispersion relations, and the spin rotations of the (generic) helical edge states. Our perturbative framework also allows deriving an explicit form for the rotation of the spins of the momentum edge states in the absence of axial spin symmetry.
arXiv Detail & Related papers (2022-12-22T07:41:11Z)
Quantum chaos and thermalization in the two-mode Dicke model [77.34726150561087]
We discuss the onset of quantum chaos and thermalization in the two-mode Dicke model. The two-mode Dicke model exhibits normal to superradiant quantum phase transition. We show that the temporal fluctuations of the expectation value of the collective spin observable around its average are small and decrease with the effective system size.
arXiv Detail & Related papers (2022-07-08T11:16:29Z)
Manipulating Non-Abelian Anyons in a Chiral Multichannel Kondo Model [0.0]
We provide the first numerical evidence that non-Abelian anyons emerge as independent entities in gapless electronic models. Impressive advances on realizing multichannel Kondo systems with chiral edges may thus bring anyons into reality sooner than expected.
arXiv Detail & Related papers (2022-05-09T16:45:02Z)
Non-Gaussian superradiant transition via three-body ultrastrong coupling [62.997667081978825]
We introduce a class of quantum optical Hamiltonian characterized by three-body couplings. We propose a circuit-QED scheme based on state-of-the-art technology that implements the considered model.
arXiv Detail & Related papers (2022-04-07T15:39:21Z)
Geometric phase in a dissipative Jaynes-Cummings model: theoretical explanation for resonance robustness [68.8204255655161]
We compute the geometric phases acquired in both unitary and dissipative Jaynes-Cummings models. In the dissipative model, the non-unitary effects arise from the outflow of photons through the cavity walls. We show the geometric phase is robust, exhibiting a vanishing correction under a non-unitary evolution.
arXiv Detail & Related papers (2021-10-27T15:27:54Z)
Boundary theories of critical matchgate tensor networks [59.433172590351234]
Key aspects of the AdS/CFT correspondence can be captured in terms of tensor network models on hyperbolic lattices. For tensors fulfilling the matchgate constraint, these have previously been shown to produce disordered boundary states. We show that these Hamiltonians exhibit multi-scale quasiperiodic symmetries captured by an analytical toy model.
arXiv Detail & Related papers (2021-10-06T18:00:03Z)
Long-lived period-doubled edge modes of interacting and disorder-free Floquet spin chains [68.8204255655161]
We show that even in the absence of disorder, and in the presence of bulk heating, $pi$ edge modes are long lived. A tunneling estimate for the lifetime is obtained by mapping the stroboscopic time-evolution to dynamics of a single particle in Krylov subspace.
arXiv Detail & Related papers (2021-05-28T12:13:14Z)
Tuning the topology of $p$-wave superconductivity in an analytically solvable two-band model [0.0]
We introduce and solve a two-band model of spinless fermions with $p_x$-wave pairing on a square lattice. We show that its phase diagram contains a topologically nontrivial weak pairing phase as well as a trivial strong pairing phase.
arXiv Detail & Related papers (2020-10-01T01:20:46Z)
Quantum anomalous Hall phase in synthetic bilayers via twistless twistronics [58.720142291102135]
We propose quantum simulators of "twistronic-like" physics based on ultracold atoms and syntheticdimensions. We show that our system exhibits topologicalband structures under appropriate conditions.
arXiv Detail & Related papers (2020-08-06T19:58:05Z)

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