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We study the phase diagram of a disordered Kitaev chain with long-range pairing when connected to two metallic leads exchanging particles with external Lindblad baths. We (i) monitor the subgap modes at increasing disorder, (ii) compute the…

Strongly Correlated Electrons · Physics 2025-04-30 Emmanuele G. Cinnirella , Andrea Nava , Gabriele Campagnano , Domenico Giuliano

We study the combined effects of disorder and range of the couplings on the phase diagram of one-dimensional topological superconductors. We consider an extended version of the Kitaev chain where hopping and pairing terms couple many sites.…

Strongly Correlated Electrons · Physics 2023-04-28 Gianluca Francica , Edoardo Maria Tiburzi , Luca Dell'Anna

In recent experiments, time-dependent periodic fields are used to create exotic topological phases of matter with potential applications ranging from quantum transport to quantum computing. These nonequilibrium states, at high driving…

Strongly Correlated Electrons · Physics 2018-09-28 Oles Shtanko , Ramis Movassagh

We study a periodically driven one dimensional Kitaev model in the presence of disorder. In the clean limit our model exhibits four topological phases corresponding to the existence or non-existence of edge modes at zero and pi quasienergy.…

We study the combined effect of interactions and disorder on topological order in one dimension. To this end we consider a generalized Kitaev chain including fermion-fermion interactions and disorder in the chemical potential. We determine…

Strongly Correlated Electrons · Physics 2017-05-02 Niklas M. Gergs , Lars Fritz , Dirk Schuricht

In recent years, tools from quantum information theory have become indispensable in characterizing many-body systems. In this work, we employ measures of entanglement to study the interplay between disorder and the topological phase in 1D…

Mesoscale and Nanoscale Physics · Physics 2019-01-18 Liron Levy , Moshe Goldstein

Features of a topological phase, and edge states in particular, may be obscured by overlapping in energy with a trivial conduction band. The topological nature of such a conductor, however, is revealed in its transport properties,…

Mesoscale and Nanoscale Physics · Physics 2013-12-10 Alexandra Junck , Kun W. Kim , Doron L. Bergman , T. Pereg-Barnea , Gil Refael

We present a stochastic formulation of the Keldysh theory to calculate the conductance of a finite Kitaev chain coupled to two electron reservoirs. We study the dependence of the conductance on the number of sites in the chain and find that…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Ruben Doornenbal , Georgios Skantzaris , Henk Stoof

In this work, the general problem of the characterization of the topological phase of an open quantum system is addressed. In particular, we study the topological properties of Kitaev chains and ladders under the perturbing effect of a…

We present a detailed study of the phase diagram of the Kitaev-Hubbard chain, that is the Kitaev chain in the presence of a nearest-neighbour density-density interaction, using both analytical techniques as well as DMRG. In the case of a…

Strongly Correlated Electrons · Physics 2020-02-21 Iman Mahyaeh , Eddy Ardonne

In this paper we study the phase diagram of a disordered, spin-orbit coupled superconductor with $s$-wave or $d+id$-wave pairing symmetry in symmetry class $D$. We analyze the topological phase transitions by applying three different…

Strongly Correlated Electrons · Physics 2016-03-22 Jan Borchmann , Aaron Farrell , T. Pereg-Barnea

We investigate the topological properties of a Kitaev chain in the shape of a legged-ring, which is here referred to as Kitaev tie. We demonstrate that the Kitaev tie is a frustrated system in which topological properties are determined by…

Mesoscale and Nanoscale Physics · Physics 2021-01-29 Alfonso Maiellaro , Francesco Romeo , Roberta Citro

We study a one-dimensional topological superconductor, the Kitaev chain, under the influence of a non-Hermitian but $\mathcal{PT}$-symmetric potential. This potential introduces gain and loss in the system in equal parts. We show that the…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 Henri Menke , Moritz M. Hirschmann

We study the current driven by an applied voltage as a function of time through the Sachdev-Ye-Kitaev model when coupled to two normal or superconducting reservoirs. For normal leads, in the strong coupling limit and for small bias, the…

Strongly Correlated Electrons · Physics 2023-10-10 Gianluca Francica , Marco Uguccioni , Luca Dell'Anna

We numerically investigate the topological phase transition induced purely by disorder in a spring-mass chain. We employ two types of disorders - chiral and random types - to explore the interplay between topology and disorder. By tracking…

The interplay of topology and disorder in non-equilibrium quantum systems is an intriguing subject. Here, we look for a suitable platform that enables an in-depth exploration of the topic. To this end, We analyze the topological and…

Mesoscale and Nanoscale Physics · Physics 2024-09-05 Koustav Roy , Shilpi Roy , Saurabh Basu

We investigate the role of gap states in processes of perturbation transmission along finite superconducting Kitaev chain. We look at this problem on the general ground and use the formalism of non-stationary Greens functions, which contain…

Mesoscale and Nanoscale Physics · Physics 2023-03-14 Yu. M. Bilinsky , P. I. Arseyev , N. S. Maslova

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…

Mesoscale and Nanoscale Physics · Physics 2025-05-23 Averi Banerjee , Syeda Rafisa Rahaman , Nilanjan Bondyopadhaya

We discuss the driven harmonic chain with fixed boundary conditions subject to weak coupling strength disorder. We discuss the evaluation of the Liapunov exponent in some detail expanding on the dynamical system theory approach by Levi et…

Statistical Mechanics · Physics 2021-03-22 Hans C. Fogedby

We study the effects of disorder on a Kitaev chain with longer-range hopping and pairing terms which is capable of forming local zero energy excitations and, hence, serves as a minimal model for localization-protected edge qubits. The clean…

Disordered Systems and Neural Networks · Physics 2018-10-24 Simon Lieu , Derek K. K. Lee , Johannes Knolle
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