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Topological superconductors are gapped superconductors with gapless and topologically robust quasiparticles propagating on the boundary. In this paper, we present a topological field theory description of three-dimensional time-reversal…

Superconductivity · Physics 2013-04-29 Xiao-Liang Qi , Edward Witten , Shou-Cheng Zhang

A critical value in the product of the anisotropy parameter and the magnetic field is observed in interlayer Josephson-vortex systems by extensive Monte Carlo simulations. Below/above this critical value the thermodynamic phase transition…

Superconductivity · Physics 2009-10-31 Xiao Hu , Masashi Tachiki

The theory presented is based on a simple Hamiltonian for a vortex lattice in a weak impurity background which includes linear elasticity and plasticity, the latter in the form of integer valued fields accounting for defects. Within a…

Superconductivity · Physics 2011-10-05 J. Dietel , H. Kleinert

There have been several proposals for platforms sustaining topological superconductivity in high temperature superconductors, in order to make use of the larger superconducting gap and the expected robustness of Majorana zero modes towards…

Superconductivity · Physics 2024-07-29 Mainak Pal , Andreas Kreisel , P. J. Hirschfeld

We propose a model for a superconductor where both spin-singlet and chiral triplet pairing amplitudes can coexist. By solving the Bogoliubov-de Gennes equations with a general pair potential that accounts for both spin states we study…

Mesoscale and Nanoscale Physics · Physics 2014-10-06 Pablo Burset , Felix Keidel , Yukio Tanaka , Naoto Nagaosa , Björn Trauzettel

Most common types of symmetry breaking in quasi-one-dimensional electronic systems possess a combined manifold of states degenerate with respect to both the phase $\theta$ and the amplitude $A$ sign of the order parameter $A\exp(i\theta)$.…

Statistical Mechanics · Physics 2019-02-20 P. Karpov , S. Brazovskii

Topological matter is characterized by the presence of a topological BF term in its long-distance effective action. Topological defects due to the compactness of the U(1) gauge fields induce quantum phase transitions between topological…

Strongly Correlated Electrons · Physics 2011-09-29 M. C. Diamantini , C. A. Trugenberger

We consider a finite-size topological Josephson junction formed at the edge of a two-dimensional topological insulator in proximity to conventional superconductors and study the impact of Cooper pair symmetries on the electron transport. We…

Superconductivity · Physics 2022-09-13 Jorge Cayao , Paramita Dutta , Pablo Burset , Annica M. Black-Schaffer

The quasiparticle spectrum inside the vortex core in the mixed state of a strongly type-II superconductors are studied. The s-wave symmetry for the gap parameter is assumed. The crossover behavior from dirty to clean limit is shown by…

Superconductivity · Physics 2007-05-23 A. Fujita

A review of the present state of investigations of the pseudospin-electron model (PEM), which is used in the theory of strongly correlated electron systems, is given. The model is used to describe the systems with the locally anharmonic…

Strongly Correlated Electrons · Physics 2016-11-23 Ihor Stasyuk

The Berezinskii-Kosterlitz-Thouless (BKT) phase transition drives the unbinding of topological defects in many two-dimensional systems. In the two-dimensional Coulomb gas, it corresponds to an insulator-conductor transition driven by charge…

Statistical Mechanics · Physics 2016-10-31 Michael F. Faulkner , Steven T. Bramwell , Peter C. W. Holdsworth

The applicability of the quasiclassical theory of superconductivity in Josephson multi-layer structures is analyzed. The quasiclassical approach is compared with the exact theory based on the Bogoliubov - de Gennes equation. The angle and…

Superconductivity · Physics 2009-11-07 M. Ozana , A. Shelankov , J. Tobiska

Phase transitions of a flux lattice in layered superconductors with magnetic field perpendicular to the layers and in presence of disorder are studied. We find that disorder generates a random Josephson coupling between layers which leads…

Superconductivity · Physics 2009-11-10 Baruch Horovitz

We study the fate of two-dimensional quadratic band crossing topological phases under a one-dimensional quasiperiodic modulation. By employing numerically exact methods, we fully characterize the phase diagram of the model in terms of…

Disordered Systems and Neural Networks · Physics 2024-09-19 Raul Liquito , Miguel Gonçalves , Eduardo V. Castro

Using coherent-state formalism (the Keldysh formalism), the article describes a transition from a homogeneous superfluid state to a supersolid state in a two-dimensional dilute gas of electron-hole pairs with spatially separated components.…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 D. V. Fil , S. I. Shevchenko

We investigate quantum phase transitions in a topological Josephson junction with an embedded ferromagnetic layer, revealing a rich landscape of critical phenomena. The low-energy excitations comprise Majorana fermions propagating along the…

Mesoscale and Nanoscale Physics · Physics 2025-05-26 Adrian Reich , Dmitriy S. Shapiro , Alexander Shnirman

We study all the possible different two terminal configurations of Josephson junctions containing wires of time-reversal invariant topological superconductors (TRITOPS) and ordinary superconductors, including combinations with an…

Mesoscale and Nanoscale Physics · Physics 2019-02-27 Liliana Arrachea , Alberto Camjayi , Armando A. Aligia , Leonel Gruñeiro

Path Integral Quantum Monte Carlo simulation is used to study thermodynamic properties and a phase diagram of 2D quantum Josephson array, described by 2+1 XY model. The helicity and vorticity moduli, correlation function of phases and other…

Superconductivity · Physics 2015-06-25 A. I. Belousov , Yu. E. Lozovik

We consider the ground state configurations of the Josephson vortex lattice in layered superconductors. Due to commensurability effects with the layered structure, the lattice has multiple configurations, both aligned with layers and…

Superconductivity · Physics 2007-05-23 A. E. Koshelev

We study a bilayer two-dimension-electron-gas (2DEG) adjacent to a type-II superconductor thin film with a pinned vortex lattice. We find that with increasing interlayer tunneling, the system of half filling presents three phases: gapped…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Ningning Hao , Wei Zhang , Zhigang Wang , Yupeng Wang , Ping Zhang