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In this paper, we investigate signatures of topological phase transitions in interacting systems. We show that the key signature is the existence of a topologically protected level crossing, which is robust and sharply defines the…

Strongly Correlated Electrons · Physics 2011-12-08 Christopher N. Varney , Kai Sun , Marcos Rigol , Victor Galitski

We find a series of topological phase transitions of increasing order, beyond the more standard second-order phase transition in a one-dimensional topological superconductor. The jumps in the order of the transitions depend on the range of…

Statistical Mechanics · Physics 2018-04-04 P. Cats , A. Quelle , O. Viyuela , M. A. Martin-Delgado , C. Morais Smith

Topological phases, quite generally, are difficult to come by. They either occur under rather extreme conditions (e.g. the quantum Hall liquids, which require high sample purity, strong magnetic fields and low temperatures) or demand fine…

Mesoscale and Nanoscale Physics · Physics 2013-11-14 M. M. Vazifeh , M. Franz

Motivated by the InSb nanowire superconductor system, we investigate a system where one-dimensional topological superconductors are placed in parallel. It would be simulated well by a ladder of the Kitaev chains. The system undergoes…

Superconductivity · Physics 2014-05-26 Ryohei Wakatsuki , Motohiko Ezawa , Naoto Nagaosa

In this paper, we investigate the emergence of non-Hermitian phase transitions on a quantum wormhole surface. We consider a single fermion whose dynamics are governed by the Dirac equation confined to move on a quantum wormhole surface. The…

General Relativity and Quantum Cosmology · Physics 2025-04-25 José A. S. Lourenço , Ygor Pará , J. Furtado

We study the quantum spin liquid phase in a variant of the Kitaev model where the bonds of the honeycomb lattice are distributed in a Kekul\'e pattern. The system supports gapped and gapless Z_2 quantum spin liquids with interesting…

Strongly Correlated Electrons · Physics 2015-04-22 Eoin Quinn , Subhro Bhattacharjee , Roderich Moessner

We gauge the fermion parity symmetry of the Kitaev chain. While the bulk of the model becomes an Ising chain of gauge-invariant spins in a tilted field, near the boundaries the global fermion parity symmetry survives gauging, leading to…

Strongly Correlated Electrons · Physics 2021-06-23 Umberto Borla , Ruben Verresen , Jeet Shah , Sergej Moroz

We establish the appearance of a qualitatively new type of spin liquid with emergent exceptional points when coupling to the environment. We consider an open system of the Kitaev honeycomb model generically coupled to an external…

Strongly Correlated Electrons · Physics 2021-02-18 Kang Yang , Siddhardh C. Morampudi , Emil J. Bergholtz

We show that a large class of two-dimensional spinless fermion models exhibit topological superconducting phases characterized by a non-zero Chern number. More specifically, we consider a generic one-band Hamiltonian of spinless fermions…

Strongly Correlated Electrons · Physics 2010-01-27 Meng Cheng , Kai Sun , Victor Galitski , S. Das Sarma

We study the ground-state phase diagram of the half-filled extended Haldane-Hubbard model on the honeycomb lattice with sublattice-dependent on-site repulsion ($U_{\text{A/B}}$) using the exact diagonalization (ED) and mean-field (MF)…

Strongly Correlated Electrons · Physics 2024-07-04 Bao-Qing Wang , Can Shao , Takami Tohyama , Hong-Gang Luo , Hantao Lu

The Kitaev chain model with a spatially modulated phase in the superconducting order parameter exhibits two types of topological transitions, namely a band topology transition between trivial and topological gapped phases, and a Fermi…

Mesoscale and Nanoscale Physics · Physics 2024-12-23 Fabian G. Medina Cuy , Fabrizio Dolcini

Compounds of transition metal ions with strong spin-orbit coupling recently attracted attention due to the possibility to host frustrated bond-dependent anisotropic magnetic interactions. In general, such interactions lead to complex phase…

Strongly Correlated Electrons · Physics 2019-02-21 Juraj Rusnačko , Dorota Gotfryd , Jiří Chaloupka

The topology of a topological material can be encoded in its surface states. These surface states can only be removed by a bulk topological quantum phase transition into a trivial phase. Here we use photoemission spectroscopy to image the…

The Kitaev spin liquid model on honeycomb lattice offers an intriguing feature that encapsulates both Abelian and non-Abelian anyons. Recent studies suggest that the comprehensive phase diagram of possible generalized Kitaev model largely…

Strongly Correlated Electrons · Physics 2024-02-26 Bowen Yan , Penghua Chen , Shawn X. Cui

Kitaev's honeycomb-lattice spin-$1/2$ model has become a paradigmatic example for $\mathbb{Z}_2$ quantum spin liquids, both gapped and gapless. Here we study the fate of these spin-liquid phases in differently stacked bilayer versions of…

Strongly Correlated Electrons · Physics 2018-10-03 Urban F. P. Seifert , Julian Gritsch , Erik Wagner , Darshan G. Joshi , Wolfram Brenig , Matthias Vojta , Kai P. Schmidt

It is widely accepted that topological superconductors can only have an effective interpretation in terms of curved geometry rather than gauge fields due to their charge neutrality. This approach is commonly employed in order to investigate…

Strongly Correlated Electrons · Physics 2020-06-24 Ashk Farjami , Matthew D. Horner , Chris N. Self , Zlatko Papić , Jiannis K. Pachos

We propose helical topological superconductivity away from the Fermi surface in three-dimensional time-reversal-symmetric odd-parity multiband superconductors. In these systems, pairing between electrons originating from different bands is…

Mesoscale and Nanoscale Physics · Physics 2024-07-01 Masoud Bahari , Song-Bo Zhang , Chang-An Li , Sang-Jun Choi , Philipp Rüßmann , Carsten Timm , Björn Trauzettel

We show that annihilating a pair of Dirac fermions implies a topological transition from the critical semi-metallic phase to an Obstructed Atomic Limit (OAL) insulator phase instead of a trivial insulator. This is shown to happen because of…

Strongly Correlated Electrons · Physics 2021-03-03 Santosh Kumar Radha , Walter R. L. Lambrecht

We investigate both first-order topology, as realized through Haldane's model, and second-order topology, implemented through an additional Kekul\'e-distortion, on the honeycomb lattice. The interplay and competition of both terms result in…

Mesoscale and Nanoscale Physics · Physics 2022-01-19 Matthew Bunney , Tomonari Mizoguchi , Yasuhiro Hatsugai , Stephan Rachel

We discuss topological phase transitions in ultra-cold Fermi superfluids induced by interactions and artificial spin orbit fields. We construct the phase diagram for population imbalanced systems at zero and finite temperatures, and analyze…

Quantum Gases · Physics 2012-11-13 Kangjun Seo , Li Han , C. A. R. Sá de Melo