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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

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

We simulate the smallest building block of the Sachdev-Ye-Kitaev (SYK) model, a system of four interacting Majorana modes. We propose a 1D Kitaev chain that has been split into three segments, i.e., two topological segments separated by a…

介观与纳米尺度物理 · 物理学 2022-12-14 Tasnum Reza , Sergey M. Frolov , David Pekker

The interdependence between long range correlations and topological signatures in fermionic arrays is examined. End-to-end correlations, in particular classical correlations, maintain a characteristic pattern in the presence of delocalized…

量子物理 · 物理学 2021-07-01 Jose Reslen

Kitaev chain is a theoretical model of a one-dimensional topological superconductor with Majorana zero modes at the two ends of the chain. With the goal of emulating this model, we build a chain of three quantum dots in a semiconductor…

介观与纳米尺度物理 · 物理学 2021-09-02 Hao Wu , Po Zhang , John P. T. Stenger , Zhaoen Su , Jun Chen , Ghada Badawy , Sasa Gazibegovic , Erik P. A. M. Bakkers , Sergey M. Frolov

We demonstrate the existence of topological phase transitions in interacting, symmetry-protected quantum matter at finite temperatures. Using a combined numerical and analytical approach, we study a one-dimensional Su-Schrieffer-Heeger…

量子气体 · 物理学 2025-02-11 Ze-Min Huang , Sebastian Diehl

Highly entangled excitations such as Majorana fermions of Kitaev quantum spin liquids have been proposed to be utilized for future quantum science and technology, and a deeper understanding of such excitations has been strongly desired.…

强关联电子 · 物理学 2023-08-03 Pureum Noh , Kyusung Hwang , Eun-Gook Moon

We construct a scattering matrix formulation for the topological classification of one-dimensional superconductors with effective time reversal symmetry in the presence of interactions. For a closed geometry, Fidkowski and Kitaev have shown…

介观与纳米尺度物理 · 物理学 2015-06-18 Dganit Meidan , Alessandro Romito , Piet W. Brouwer

We present a detailed analysis of the Kitaev--Heisenberg model on a single hexagon. The energy spectra and spin--spin correlations obtained using exact diagonalisation indicate quantum phase transitions between antiferromagnetic and…

强关联电子 · 物理学 2015-03-30 Dorota Gotfryd , Andrzej M. Oleś

I. Introduction (What is new in RMT, Superconducting quasiparticles, Experimental platforms) II. Topological superconductivity (Kitaev chain, Majorana operators, Majorana zero-modes, Phase transition beyond mean-field) III. Fundamental…

介观与纳米尺度物理 · 物理学 2015-09-07 C. W. J. Beenakker

The observation of Majorana fermions as collective excitations in condensed-matter systems is an ongoing quest, and several state-of-the-art experiments have been performed in the last decade. As a potential avenue in this direction, we…

强关联电子 · 物理学 2022-07-27 Adhip Pattanayak , Sumiran Pujari , Gopal Dixit

We study an exactly solvable quantum field theory (QFT) model describing interacting fermions in 2+1 dimensions. This model is motivated by physical arguments suggesting that it provides an effective description of spinless fermions on a…

数学物理 · 物理学 2013-08-26 Jonas de Woul , Edwin Langmann

Interacting fermionic chains exhibit extended regions of topological degeneracy of their ground states as a result of the presence of Majorana or parafermionic zero modes localized at the edges. In the opposite limit of infinite…

强关联电子 · 物理学 2025-08-29 Niklas Tausendpfund , Aditi Mitra , Matteo Rizzi

The topological degeneracy is a characteristic of quantum phase diagram in an Ising chain with transverse field. We revisit the phase diagram at nonzero temperature of an Ising chain with two types of open boundary conditions. In this work,…

强关联电子 · 物理学 2026-05-12 E. S. Ma , Z. Song

By using the variational Monte Carlo method, we study the magnetization process of the Kitaev honeycomb model in a magnetic field. Our trial wavefunction is a generalized Bardeen-Cooper-Schrieffer wave function with the Jastrow correlation…

强关联电子 · 物理学 2020-01-31 Kota Ido , Takahiro Misawa

We investigate the topological phases in a coupled one-dimensional p-wave superconducting Fibonacci quasicrystal modeled by the quasiperiodic Kitaev chain. Recent studies have shown that the coupled system can host topological edge modes…

超导电性 · 物理学 2026-05-07 Koki Mizuno

We propose a simple solvable variant of the Sachdev-Ye-Kitaev (SYK) model which displays a quantum phase transition from a fast-scrambling non-Fermi liquid to disordered Fermi liquid. Like the canonical SYK model, our variant involves a…

强关联电子 · 物理学 2019-07-24 Oguzhan Can , Marcel Franz

We formulate and discuss explicit computation of dynamic correlation functions in open quadradic fermionic systems which are driven and dissipated by the Lindblad jump processes that are linear in canonical fermionic operators. Dynamic…

统计力学 · 物理学 2018-01-17 Pavel Kos , Tomaz Prosen

We examine topological phases and symmetry-protected electronic edge states in the context of a Rydberg composite: a Rydberg atom interfaced with a structured arrangement of ground-state atoms. The electronic Hamiltonian of such a composite…

量子物理 · 物理学 2024-05-20 Matthew T. Eiles , Christopher W. Wächtler , Alexander Eisfeld , Jan M. Rost

We study electrical, thermal and thermoelectric transport in a hybrid device consisting of a long-range Kitaev chain coupled to two metallic leads at two ends. Electrical and thermal currents are calculated in this device under both voltage…

介观与纳米尺度物理 · 物理学 2025-05-23 Averi Banerjee , Syeda Rafisa Rahaman , Nilanjan Bondyopadhaya