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Quantum interactions exchanging different types of particles play a pivotal r\^{o}le in quantum many-body theory, but they are not sufficiently investigated from a mathematical perspective. Here, we consider a system made of two fermions…

Mathematical Physics · Physics 2025-06-12 J. -B. Bru , W. de Siqueira Pedra , A. Ramer dos Santos

We study the role of electron-electron interactions near integer and abelian fractional quantum Hall (QH) transitions using composite fermion (CF) representations. Interaction effects are encapsulated in CF theories as gauge fluctuations.…

Strongly Correlated Electrons · Physics 2022-08-26 Prashant Kumar , P. A. Nosov , S. Raghu

We discuss an experiment in which two magnetic insulators that both show a field-induced magnetic-ordering transition are weakly coupled to one another and are placed into an ex- ternal magnetic field. If the respective magnetic states can…

Strongly Correlated Electrons · Physics 2012-12-18 Andreas Schilling , Henrik Grundmann

Recently, a new category of superfluids and superconductors has been discovered in various systems. These could be linked to the idea of a supersolid phase, featuring a macroscopic wavefunction with spatial modulation resulting from…

We propose a possible charge fluctuation effect expected in layered superconducting materials. In the multireference density functional theory, relevant fluctuation channels for the Josephson coupling between superconducting layers include…

Superconductivity · Physics 2015-05-14 Koichi Kusakabe

One of the most profound features of topologically ordered states of matter, such as the fractional quantum Hall (FQH) states, is that they possess topology-dependent ground state degeneracies that are robust to all local perturbations.…

Strongly Correlated Electrons · Physics 2014-01-17 Maissam Barkeshli , Yuval Oreg , Xiao-Liang Qi

At total filling factor $\nu_T=1$, interlayer phase coherence in quantum Hall bilayers can result in a tunneling anomaly resembling the Josephson effect in the presence of strong fluctuations. The most robust experimental signature of this…

Mesoscale and Nanoscale Physics · Physics 2011-10-19 Timo Hyart , Bernd Rosenow

We show that the Josephson effect between triplet superconductors is sensitive to the relative orientation of the d-vectors across the junction. In addition, we point out that the temperature and angular dependence of the Josephson effect…

Superconductivity · Physics 2007-05-23 C. D. Vaccarella , R. D. Duncan , C. A. R. Sá de Melo

We compute the high-frequency emission and absorption noise in a fractional quantum Hall effect (FQHE) sample at arbitrary temperature. We model the edges of the FQHE as chiral Luttinger liquids (LL) and we use the non-equilibrium…

Strongly Correlated Electrons · Physics 2009-11-13 Cristina Bena , Ines Safi

Parafermion zero modes are exotic emergent excitations that can be considered as $\mathbb{Z}_n$ generalizations of Majorana fermions. Present in fractional quantum Hall-superconductor hybrid systems, among others, they can serve as…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Noam Schiller , Eyal Cornfeld , Erez Berg , Yuval Oreg

Theoretically, Josephson junction (JJ) arrays can exhibit either a superconducting or insulating state, separated by a quantum phase transition (QPT). In this work, we analyzed published data on QPTs in three one-dimensional arrays and two…

Superconductivity · Physics 2024-11-12 Samuel Feldman , Andrey Rogachev

We study the effect of interlayer tunneling in the gauge theory describing a quasi-two-dimensional paramagnetic metal close to a second-order or weakly first-order antiferromagnetic phase boundary. In that theory, two species of fermions…

Condensed Matter · Physics 2009-10-28 S. Khlebnikov

Using non-equilibrium Green's functions, we studied numerically the transport properties of a Josephson junction, superconductor-topological insulator-superconductor hybrid system. Our numerical calculation shows first that…

Superconductivity · Physics 2016-05-11 Juntao Song , Haiwen Liu , Jie Liu , Yuxian Li , Robert Joynt , Qing-feng Sun , X. C. Xie

The Josephson effect is a hallmark signature of the superconducting state, which, however, has been sparsely explored in non-crystalline superconducting materials. Motivated by this, we consider a Josephson junction consisting of two…

Superconductivity · Physics 2024-09-04 Morten Amundsen , Vladimir Juričić , Jabir Ali Ouassou

Josephson junctions enable dissipation-less electrical current through metals and insulators below a critical current. Despite being central to quantum technology based on superconducting quantum bits and fundamental research into…

The rise of topological phases of matter is strongly connected to their potential to host Majorana bound states, a powerful ingredient in the search for a robust, topologically protected, quantum information processing. In order to produce…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Erwann Bocquillon , Jonas Wiedenmann , Russell S. Deacon , Teunis M. Klapwijk , Hartmut Buhmann , Laurens W. Molenkamp

Edges of quantum Hall phases give rise to a multitude of exotic modes supporting quasiparticles of different values of charge and quantum statistics. Among these are neutralons (chargeless anyons with semion statistics), which were found to…

Mesoscale and Nanoscale Physics · Physics 2022-02-16 Jukka I. Väyrynen , Moshe Goldstein , Yuval Gefen

Hybridizing superconductivity with the quantum Hall (QH) effects has major potential for designing novel circuits capable of inducing and manipulating non-Abelian states for topological quantum computation. However, despite recent…

We study theoretically the Josephson effect between two time-reversal two-band superconductors, where we assume the equal-time spin-singlet $s$-wave pair potential in each conduction band. %as well as the band asymmetry and the band…

Superconductivity · Physics 2020-05-13 Akihiro Sasaki , Satoshi Ikegaya , Tetsuro Habe , Alexander A. Golubov , Yasuhiro Asano

Motivated by recent experiments with Josephson-junction circuits we reconsider decoherence effects in quantum two-level systems (TLS). On one hand, the experiments demonstrate the importance of 1/f noise, on the other hand, by operating at…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Alexander Shnirman , Yuriy Makhlin , Gerd Schön