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We investigate a minimal model of a two-terminal Josephson junction with conventional superconducting (SC) leads and a pair of interconnected quantum dots in the presence of two Aharonov-Casher (AC) fluxes. The Andreev bound state spectrum…

Mesoscale and Nanoscale Physics · Physics 2024-12-13 Luka Medic , Anton Ramšak , Tomaž Rejec

We study the emergent band topology of subgap Andreev bound states in the three-terminal Josephson junctions. We scrutinize the symmetry constraints of the scattering matrix in the normal region connecting superconducting leads that enable…

Mesoscale and Nanoscale Physics · Physics 2017-11-01 Hong-Yi Xie , Maxim G. Vavilov , Alex Levchenko

We study the Josephson effect in the multiterminal junction of topological superconductors. We use the symmetry-constrained scattering matrix approach to derive band dispersions of emergent sub-gap Andreev bound states in a multidimensional…

Superconductivity · Physics 2019-04-03 Hong-Yi Xie , Alex Levchenko

Results are presented for Floquet systems in two spatial dimensions where the Floquet driving breaks an effective time reversal symmetry. The driving protocol also induces flat bands that correspond to anomalous Floquet phases where the…

Mesoscale and Nanoscale Physics · Physics 2022-07-15 Ceren B. Dag , Aditi Mitra

Topological properties lie at the heart of many fascinating phenomena in solid state systems such as quantum Hall systems or Chern insulators. The topology can be captured by the distribution of Berry curvature, which describes the geometry…

Quantum Gases · Physics 2016-05-31 N. Fläschner , B. S. Rem , M. Tarnowski , D. Vogel , D. -S. Lühmann , K. Sengstock , C. Weitenberg

The intersection of electronic topology and strong correlations offers a rich platform to discover exotic quantum phases of matter and unusual materials. An overarching challenge that impedes the discovery is how to diagnose topology in…

Strongly Correlated Electrons · Physics 2023-11-28 Chandan Setty , Fang Xie , Shouvik Sur , Lei Chen , Silke Paschen , Maia G. Vergniory , Jennifer Cano , Qimiao Si

We study the transport properties of a voltage-biased Josephson junction where the BCS superconducting leads are coupled via the edges of a quantum Hall sample. In this scenario, an out of equilibrium Josephson current develops, which is…

Mesoscale and Nanoscale Physics · Physics 2021-02-01 Lucila Peralta Gavensky , Gonzalo Usaj , C. A. Balseiro

Multiterminal Josephson junctions offer a powerful playground for exploring exotic superconducting and topological phenomena beyond the reach of conventional two-terminal devices. In this work, we present the direct spectroscopic…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Asmaul Smitha Rashid , Le Yi , Takashi Taniguchi , Kenji Watanabe , Nitin Samarth , Régis Mélin , Morteza Kayyalha

We bring forward a unified framework for the study of the superfluid stiffness and the quantum capacitance of superconducting platforms exhibiting conventional spin-singlet pairing. We focus on systems which in their normal phase contain…

Superconductivity · Physics 2024-08-14 Jun-Ang Wang , Mohamed Assili , Panagiotis Kotetes

Josephson junctions with three or more superconducting leads have been predicted to exhibit topological effects in the presence of few conducting modes within the interstitial normal material. Such behavior, of relevance for…

Mesoscale and Nanoscale Physics · Physics 2020-02-25 Gino V. Graziano , Joon Sue Lee , Mihir Pendharkar , Chris Palmstrøm , Vlad S. Pribiag

We first study the importance of the sign of the Berry curvature in the Euler characteristic of the two-dimensional topological material with two bands. Then we report an observation of a character of the topological transition as a…

Mesoscale and Nanoscale Physics · Physics 2025-04-29 Han-Byul Kim , Taewon Yuk , Sang-Jin Sin

Semiconductor-superconductor hybrid systems provide a promising platform for hosting unpaired Majorana fermions towards the realisation of fault-tolerant topological quantum computing. In this study, we employ the Keldysh Non-Equilibrium…

Mesoscale and Nanoscale Physics · Physics 2019-11-05 Praveen Sriram , Sandesh S Kalantre , Kaveh Gharavi , Jonathan Baugh , Bhaskaran Muralidharan

Berry curvature is a fundamental element to characterize topological quantum physics, while a full measurement of Berry curvature in momentum space was not reported for topological states. Here we achieve two-dimensional Berry curvature…

We construct a holographic model for Josephson junctions with a defect system of a Dp brane intersecting a D(p+2) brane. In addition to providing a geometrical picture for the holographic dual, this leads us very naturally to suggest the…

High Energy Physics - Theory · Physics 2015-06-05 Sophia K. Domokos , Carlos Hoyos , Jacob Sonnenschein

Topological aspects of electron wavefunction play a crucial role in determining the physical properties of materials. Berry curvature and Chern number are used to define the topological structure of electronic bands. While Berry curvature…

The combination of an ordinary s-type superconductor with three-dimensional topological insulators creates a promising platform for fault-tolerant topological quantum computing circuits based on Majorana braiding. The backbone of the…

Mesoscale and Nanoscale Physics · Physics 2024-10-28 Gerrit Behner , Abdur Rehman Jalil , Alina Rupp , Hans Lüth , Detlev Grützmacher , Thomas Schäpers

We develop a method to characterize topological phase transitions for strongly correlated Hamiltonians defined on two-dimensional lattices based on the many-body Berry curvature. Our goal is to identify a class of quantum critical points…

Strongly Correlated Electrons · Physics 2017-11-13 Stefanos Kourtis , Titus Neupert , Christopher Mudry , Manfred Sigrist , Wei Chen

We study the spectrum of Andreev bound states and Josephson currents across a junction of $N$ superconducting wires which may have $s$- or $p$-wave pairing symmetries and develop a scattering matrix based formalism which allows us to…

Superconductivity · Physics 2018-05-30 Oindrila Deb , K. Sengupta , Diptiman Sen

We discuss the topological phase transition of the spin-$\frac{1}{2}$ fermionic Haldane model with repulsive on-site interaction. We show that the Berry curvature of the topological Hamiltonian, the first Chern number, and the topological…

Since the discovery of the Andreev reflection process at normal-metal/superconductor junctions and the corresponding Andreev bound states in superconductor/normal-metal/superconductor junctions, various multiterminal Josephson junctions…

Superconductivity · Physics 2025-12-29 Panch Ram , Detlef Beckmann , Romain Danneau , Wolfgang Belzig
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