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We consider a system of spin-dependent fermions on a one-dimensional lattice which is coupled to phonons. The phonons create either a Peierls instability by breaking the translational invariance or create long range correlations. On the…

Condensed Matter · Physics 2019-08-17 D. Braak , F. Sievers , K. Ziegler

Majorana bosons, that is, tight bosonic analogs of the Majorana fermionic quasiparticles of condensed matter physics, are forbidden for gapped free bosonic matter within a standard Hamiltonian scenario. We show how the interplay between…

Quantum Physics · Physics 2021-12-14 Vincent P. Flynn , Emilio Cobanera , Lorenza Viola

The magneto-electrostatic tailoring of the supercurrent in quantum point contact ballistic Josephson junctions is demonstrated. An etched InAs-based heterostructure is laterally contacted to superconducting niobium leads and the existence…

Mesoscale and Nanoscale Physics · Physics 2013-04-09 M. Amado , A. Fornieri , F. Carillo , G. Biasiol , L. Sorba , V. Pellegrini , F. Giazotto

We characterize topological features of Josephson junctions formed by coupled mesoscopic chiral $p$-wave superconducting islands. Through analytic and numerical studies of the low-lying BdG (Bogoliubov-de Gennes) spectrum, we identify…

Amontons' law postulates a monotonic relationship between frictional force and the normal load applied to a sliding contact. This empirical rule, however, fails in systems where internal degrees of freedom - such as structural or electronic…

Materials Science · Physics 2026-03-19 Hongri Gu , Anton Lüders , Clemens Bechinger

We investigate the effect of interactions on the stability of a disordered, two-dimensional topological insulator realized as an array of nanowires or chains of magnetic atoms on a superconducting substrate. The Majorana zero-energy modes…

Mesoscale and Nanoscale Physics · Physics 2015-09-23 A. Milsted , L. Seabra , I. C. Fulga , C. W. J. Beenakker , E. Cobanera

Ferromagnetism is a manifestation of strong repulsive interactions between itinerant fermions in condensed matter. Whether short-ranged repulsion alone is sufficient to stabilize ferromagnetic correlations in the absence of other effects,…

Quantum Gases · Physics 2017-07-07 G. Valtolina , F. Scazza , A. Amico , A. Burchianti , A. Recati , T. Enss , M. Inguscio , M. Zaccanti , G. Roati

Topological insulators are characterized by an insulating bulk with a finite band gap and conducting edge or surface states, where charge carriers are protected against backscattering. These states give rise to the quantum spin Hall effect…

Strongly Correlated Electrons · Physics 2012-08-23 M. Veldhorst , M. Snelder , M. Hoek , T. Gang , X. L. Wang , V. K. Guduru , U. Zeitler , W. G. v. d. Wiel , A. A. Golubov , H. Hilgenkamp , A. Brinkman

Performing Monte Carlo simulations we study the temperature dependent self--organization of magnetic moments coupled to itinerant electrons in a finite--size one--dimensional nanostructure proximitized to a superconducting reservoir. At low…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 Anna Gorczyca-Goraj , Tadeusz Domanski , Maciej M. Maska

We consider a Josephson contact mediated by 1D chiral modes on a surface of a 3D topological insulator with superimposed superconducting and magnetic layers. The system represents an interferometer in which 1D chiral Majorana modes on the…

Superconductivity · Physics 2018-12-06 Dmitriy S. Shapiro , Alexander D. Mirlin , Alexander Shnirman

We connect between the problem of thermodynamics of localized magnetic moments in a Dirac semimetal, the interaction with relativistic electrons leading to the effective ferromagnetic exchange between the moments, and the existing theories…

Mesoscale and Nanoscale Physics · Physics 2016-07-26 Eugene Kogan , Moshe Kaveh

The nonequilibrium critical dynamics of the Ising magnet on a fractal substrate, namely the Sierpinski carpet with Hausdorff dimension $d_H$ =1.7925, has been studied within the short-time regime by means of Monte Carlo simulations. The…

Statistical Mechanics · Physics 2009-11-11 M. A. Bab , G. Fabricius , E. V. Albano

It is shown in previous works that the coupling between two Majorana end states in superconducting quantum wires leads to fractional Josephson effect. However, in realistic experimental conditions, multiple bands of the wires are occupied…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 K. T. Law , Patrick A. Lee

Among the potential applications of topological insulators, we theoretically study the coexistence of proximity-induced ferromagnetic and superconducting orders in the surface states of a 3-dimensional topological insulator. The…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 Maryam Khezerlou , Hadi Goudarzi , Samin Asgarifar

Planar Josephson junctions are theoretically predicted to harbor zero-energy Majorana bound states (MBS) in a tunable two-dimensional geometry, at the two ends of the middle metallic channel. Here we show that three distinct topological…

Superconductivity · Physics 2025-10-14 Pankaj Sharma , Narayan Mohanta

Two channels of the sd exchange interaction are considered in magnetic junctions. The first channel describes the interaction of transversal spins with the lattice magnetization. The second one describes the interaction of longitudinal…

Materials Science · Physics 2010-10-22 S. G. Chigarev , E. M. Epshtein , Yu. V. Gulyaev , P. E. Zilberman

We theoretically study a Josephson junction formed by two finite-size $s$-wave SCs on a topological insulator under a magnetic field. At certain conditions, the junction hosts the chiral Majorana modes enclosing the two finite-size SCs. The…

Mesoscale and Nanoscale Physics · Physics 2019-09-02 Sang-Jun Choi , H. -S. Sim

Majorana zero-modes bound to vortices in a topological superconductor have a non-Abelian exchange statistics expressed by a non-deterministic fusion rule: When two vortices merge they may or they may not produce an unpaired fermion with…

Superconductivity · Physics 2019-02-13 C. W. J. Beenakker , A. Grabsch , Y. Herasymenko

We study the stability of topological crystalline superconductors in the symmetry class DIIIR and in two-dimensional space when perturbed by quartic contact interactions. It is known that no less than eight copies of helical pairs of…

Strongly Correlated Electrons · Physics 2021-05-18 Ömer M. Aksoy , Jyong-Hao Chen , Shinsei Ryu , Akira Furusaki , Christopher Mudry

One year after their initial discovery, two schools of thought have crystallized regarding the electronic structure and magnetic properties of ferropnictide systems. One postulates that these are itinerant weakly correlated metallic systems…

Materials Science · Physics 2015-05-13 M. D. Johannes , Igor Mazin