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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…

We study non-interacting electrons in disordered materials which exhibit a spectral gap, in each of the ten Altland--Zirnbauer symmetry classes, in all space dimensions. We define an appropriate space of Hamiltonians and a topology on it so…

数学物理 · 物理学 2026-05-26 Jui-Hui Chung , Jacob Shapiro

Platforms for creating Majorana quasiparticles rely on superconductivity and breaking of time-reversal symmetry. By studying continuous deformations to known trivial states, we find that the relationship between superconducting pairing and…

介观与纳米尺度物理 · 物理学 2021-05-19 Kim Pöyhönen , Daniel Varjas , Michael Wimmer , Anton R. Akhmerov

We discuss the properties of topologically nontrivial superconducting phases and the conditions for their realization in condensed matter, and the principles for identifying Majorana bound states (MBSs). Along with the well-known Kitaev…

介观与纳米尺度物理 · 物理学 2022-05-23 V. V. Val'kov , M. S. Shustin , S. V. Aksenov , A. O. Zlotnikov , A. D. Fedoseev , V. A. Mitskan , M. Yu. Kagan

Point-contact spectroscopy of several non-superconducting topological materials reveals a low temperature phase transition that is characterized by a Bardeen-Cooper-Schrieffer-type of criticality. We find such a behavior of differential…

The edge state of the topological insulator coupled to a superconductor system is able to simulate the Majorana fermion in zero energy mode since the Kitaev-type pairing is induced by exchanging quasi-excitations in electron tunneling.…

介观与纳米尺度物理 · 物理学 2025-06-23 Xin Yue , Guo-Jian Qiao , C. P. Sun

In this paper, we formulate and quantitatively examine the effect of dissipation on topological systems. We use a specific model of Kitaev quantum wire with an onsite Ohmic dissipation, and perform a numerically exact quantum Monte Carlo…

强关联电子 · 物理学 2019-11-12 Yizhen Huang , Alejandro M. Lobos , Zi Cai

We study the emergence of topological superconductivity in a two-dimensional (2D) Weyl system, composed of stacked Su-Schrieffer-Heeger (SSH) chains. A previous analysis of the model showed that the addition of an attractive Hubbard…

超导电性 · 物理学 2022-08-18 Peter Rosenberg , Efstratios Manousakis

We present a unified perspective on symmetry protected topological (SPT) phases in one dimension and address the open question of what characterizes their phase transitions. In the first part of this work we use symmetry as a guide to map…

强关联电子 · 物理学 2017-10-17 Ruben Verresen , Roderich Moessner , Frank Pollmann

Kitaev fermionic chain is one of the important physical models for studying topological physics and quantum computing. We here propose an approach to simulate the one-dimensional Kitaev model by a chain of superconducting qubit circuits.…

量子物理 · 物理学 2024-11-20 Yang Zhang , Yun-Qiu Ge , Yu-xi Liu

In this work we illustrate the detrimental impact of the Cooper pair's spin-structure on the thermodynamic and topological properties of a spin-triplet superconductor in an applied Zeeman field. We particularly focus on the paradigmatic…

超导电性 · 物理学 2016-10-19 Maria Teresa Mercaldo , Mario Cuoco , Panagiotis Kotetes

We consider the Kitaev chain model with finite and infinite range in the hopping and pairing parameters, looking in particular at the appearance of Majorana zero energy modes and massive edge modes. We study the system both in the presence…

强关联电子 · 物理学 2017-06-01 Antonio Alecce , Luca Dell'Anna

The classification of topological states of matter in terms of unitary symmetries and dimensionality predicts the existence of nontrivial topological states even in zero-dimensional systems, i.e., a system with a discrete energy spectrum.…

介观与纳米尺度物理 · 物理学 2018-06-11 Pasquale Marra , Alessandro Braggio , Roberta Citro

We discuss a pairing mechanism in interacting two-dimensional multipartite lattices that intrinsically leads to a second order topological superconducting state with a spatially modulated gap. When the chemical potential is close to Dirac…

超导电性 · 物理学 2022-02-28 Tommy Li , Max Geier , Julian Ingham , Harley D. Scammell

We present an exactly solvable spin-orbital model based on the Gamma-matrix generalization of a Kitaev-type Hamiltonian. In the presence of small magnetic fields, the model exhibits a critical phase with a spectrum characterized by…

介观与纳米尺度物理 · 物理学 2010-07-13 Gia-Wei Chern

We develop a microscopic theory for the two-dimensional spectroscopy of one-dimensional topological superconductors. We consider a ring geometry as a realization of the Kitaev chain with periodic boundary conditions. We show numerically and…

介观与纳米尺度物理 · 物理学 2022-07-11 Felix Gerken , Thore Posske , Shaul Mukamel , Michael Thorwart

We consider electron transport in a model of a spinless superconductor described by a Kitaev type lattice Hamiltonian where the electron interactions are modelled through a superconducting pairing term. The superconductor is sandwiched…

超导电性 · 物理学 2021-01-04 Junaid Majeed Bhat , Abhishek Dhar

We quantitatively study the out-of-equilibrium edge-Majorana correlation in a linearly ramped one-dimensional Kitaev chain of finite length in a dissipative environment. The chemical potential is dynamically ramped to drive the chain from…

统计力学 · 物理学 2020-09-23 Souvik Bandyopadhyay , Sourav Bhattacharjee , Amit Dutta

Recently developed parity (P) and time-reversal (T) symmetric non-Hermitian systems govern a rich variety of new and characteristically distinct physical properties, which may or may not have a direct analog in their Hermitian counterparts.…

超导电性 · 物理学 2018-01-24 Ananya Ghatak , Tanmoy Das

We introduce a frustration-free, one-dimensional model of spinless fermions with hopping, p-wave superconducting pairing and alternating chemical potentials. The model possesses two exactly degenerate ground states even for finite system…

强关联电子 · 物理学 2023-02-28 Jurriaan Wouters , Hosho Katsura , Dirk Schuricht