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A one-dimensional fermionic system, such as a superconducting wire, may host Majorana zero-energy edge modes (MZMs) at its edges when it is in the topological phase. MZMs provide a path to realising fault-tolerant quantum computation, and…

Quantum Physics · Physics 2017-11-07 Sania Jevtic , Ryan Barnett

Topological superconductors (TSCs) in superconducting hybrid heterostructures, which integrate superconducting and non-superconducting materials, have been intensely investigated with the hope of discovering exotic non-Abelian anyons for…

Superconductivity · Physics 2026-04-14 Joseph J. Cuozzo , Sayed Ali Akbar Ghorashi , Dale Huber , Wei Pan , François Léonard

In many strongly correlated electron systems, non-Fermi liquid behavior and unconventional superconductivity can be viewed as emerging from an effective 4-fermion interaction with a singular frequency dependence. A pairing instability in…

Strongly Correlated Electrons · Physics 2026-04-17 Yue Yu , Andrey V. Chubukov

We introduce and solve a two-band model of spinless fermions with $p_x$-wave pairing on a square lattice. The model reduces to the well-known extended Harper-Hofstadter model with half-flux quanta per plaquette and weakly coupled Kitaev…

Superconductivity · Physics 2021-01-04 Haiping Hu , Erhai Zhao , Indubala I. Satija

Employing a combination of a sign-free Monte Carlo approach and nonequilibrium Green's function techniques, we study nonequilibrium charge transport in a model heterostructure, where a two-dimensional spin-less Falicov-Kimball system is…

Strongly Correlated Electrons · Physics 2019-05-03 Martin Žonda , Michael Thoss

Motivated by the recent experiment of Wang et al. [Nature Physics 6, 389 (2010)], who observed a highly unusual transport behavior of ferromagnetic Cobalt nanowires proximity-coupled to superconducting electrodes, we study proximity effect…

Superconductivity · Physics 2015-06-03 So Takei , Victor Galitski

We present a detailed study of quantum simulations of coupled spin systems in surface-electrode ion-trap arrays, and illustrate our findings with a proposed implementation of the hexagonal Kitaev model [A. Kitaev, Annals of Physics 321,2…

Quantum Physics · Physics 2011-12-01 Roman Schmied , Janus H. Wesenberg , Dietrich Leibfried

Recent developments in the search for topological superconductivity have brought lattices of magnetic adatoms on a superconductor into intense focus. In this work we will study ferromagnetic chains of adatoms on superconducting surfaces…

Mesoscale and Nanoscale Physics · Physics 2016-02-05 Kim Pöyhönen , Alex Westström , Teemu Ojanen

An array of quantum dots coupled via superconductivity provides a new platform for creating Kitaev chains with Majorana zero modes, offering a promising avenue toward topological quantum computing. In this work, we theoretically study the…

Mesoscale and Nanoscale Physics · Physics 2026-05-12 Chun-Xiao Liu

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

Superconducting quantum circuits are a natural platform for quantum simulations of a wide variety of important lattice models describing topological phenomena, spanning condensed matter and high-energy physics. One such model is the bosonic…

Quantum dot-superconductor arrays have emerged as a new and promising material platform for realizing topological Kitaev chains. So far, experiments have implemented a two-site chain with limited protection. Here we propose an…

Correlations in topological states of matter provide a rich phenomenology, including a reduction in the topological classification of the interacting system compared to its non-interacting counterpart. This happens when two phases that are…

Strongly Correlated Electrons · Physics 2020-07-01 Johannes S. Hofmann , Fakher F. Assaad , Raquel Queiroz , Eslam Khalaf

An attempt is made to quantum simulate the topological classification, such as winding number, geometric phase and symmetry properties for a quantum simulated Kitaev chain. We find, {\alpha} (ratio between the spin-orbit coupling and…

Strongly Correlated Electrons · Physics 2020-09-11 Y R Kartik , Ranjith R Kumar , S Rahul , Sujit Sarkar

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…

Strongly Correlated Electrons · Physics 2023-02-28 Jurriaan Wouters , Hosho Katsura , Dirk Schuricht

Multi-orbital electronic models hosting a non-trivial band-topology in the regime of strong electronic interactions are an ideal playground for exploring a host of complex phenomenology. We consider here a sign-problem-free and…

Strongly Correlated Electrons · Physics 2024-07-09 Xuepeng Wang , J. F. Mendez-Valderrama , Johannes S. Hofmann , Debanjan Chowdhury

Recently there has been much effort in understanding topological phases of matter with gapless bulk excitations, which are characterized by topological invariants and protected intrinsic boundary states. Here we show that topological…

Strongly Correlated Electrons · Physics 2015-03-19 Robert Schaffer , Eric Kin-Ho Lee , Yuan-Ming Lu , Yong Baek Kim

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…

Quantum Physics · Physics 2021-07-01 Jose Reslen

Starting from a double quantum dot realization of a minimal Kitaev chain, we demonstrate that non-Hermicity stabilizes the so-called poor man's Majorana zero modes in a region of parameter space that is much broader than in the Hermitian…

Mesoscale and Nanoscale Physics · Physics 2025-05-30 Jorge Cayao , Ramón Aguado

Supersymmetry is a powerful concept in quantum many-body physics. It helps to illuminate ground state properties of complex quantum systems and gives relations between correlation functions. In this work, we show that the Sachdev-Ye-Kitaev…

Strongly Correlated Electrons · Physics 2020-06-15 Jan Behrends , Benjamin Béri
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