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Berry curvature is an imaginary component of the quantum geometric tensor (QGT) and is well studied in many branches of modern physics; however, the quantum metric as a real component of the QGT is less explored. Here, by using tunable…

We propose and analyze theoretically an experimental setup for detecting the elusive Majorana particle in semiconductor-superconductor heterostructures. The experimental system consists of one-dimensional semiconductor wire with strong…

Superconductivity · Physics 2010-08-16 Roman M. Lutchyn , Jay D. Sau , S. Das Sarma

The phase-dependent bound states (Andreev levels) of a Josephson junction can cross at the Fermi level, if the superconducting ground state switches between even and odd fermion parity. The level crossing is topologically protected, in the…

Mesoscale and Nanoscale Physics · Physics 2013-07-23 C. W. J. Beenakker , J. M. Edge , J. P. Dahlhaus , D. I. Pikulin , Shuo Mi , M. Wimmer

We propose the "Andreev molecule", an artificial quantum system composed of two closely spaced Josephson junctions. The coupling between Josephson junctions in an Andreev molecule occurs through the overlap and hybridization of the…

Mesoscale and Nanoscale Physics · Physics 2019-10-15 J. -D. Pillet , V. Benzoni , J. Griesmar , J. -L. Smirr , Ç. Ö. Girit

We present a circuit design composed of a non-reciprocal device and Josephson junctions whose ground space is doubly degenerate and the ground states are approximate codewords of the Gottesman-Kitaev-Preskill (GKP) code. We determine the…

Quantum Physics · Physics 2021-02-24 Martin Rymarz , Stefano Bosco , Alessandro Ciani , David P. DiVincenzo

We demonstrate microwave measurements of the Andreev bound state (ABS) spectrum in planar Josephson junctions (JJs) defined in Ge high mobility two-dimensional hole gases contacted by superconducting PtSiGe. The JJs and readout circuitry…

Mesoscale and Nanoscale Physics · Physics 2024-10-02 M. Hinderling , S. C. ten Kate , M. Coraiola , D. Z. Haxell , M. Stiefel , M. Mergenthaler , S. Paredes , S. W. Bedell , D. Sabonis , F. Nichele

The topological properties of a multiband topological superconductor in two dimensions are studied, when the latter is obtained by introducing electron pairing in an otherwise topological insulator. The type of pairing, doping and Fermi…

Superconductivity · Physics 2015-05-20 Ana C. Silva , Miguel A. N. Araújo , Pedro D. Sacramento

The Andreev bound states and charge transport in a Josephson junction between two superconductors with intrinsic exchange fields are studied. We find that for a parallel configuration of the exchange fields in the superconductors the…

Superconductivity · Physics 2016-10-26 B. Bujnowski , D. Bercioux , F. Konschelle , J. Cayssol , F. S. Bergeret

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

A topological superconductor is a fully gapped superconductor that exhibits exotic zero-energy Andreev surface states at interfaces with a normal metal. In this paper we investigate the properties of a three-dimensional time reversal…

Superconductivity · Physics 2010-11-11 Andreas P. Schnyder , P. M. R. Brydon , Dirk Manske , Carsten Timm

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

The classification of topological states of matter in terms of unitary symmetries and dimensionality predicts the existence of nontrivial topological states even in zero-dimensional systems, i.e., a system with a discrete energy spectrum.…

Mesoscale and Nanoscale Physics · Physics 2018-06-11 Pasquale Marra , Alessandro Braggio , Roberta Citro

We report the findings of fractional topological states in one-dimensional periodically modulated quantum spin chains with up to third neighbor interactions. By exact numerical studies, we demonstrate the existence of topologically…

Strongly Correlated Electrons · Physics 2016-04-27 Haiping Hu , Huaiming Guo , Shu Chen

We study a quantum dot Josephson junction inside an Aharonov-Bohm environment. The geometry is modeled by an Anderson impurity coupled to two directly-linked BCS leads. We illustrate that the well-established picture of the low-energy…

Strongly Correlated Electrons · Physics 2009-11-13 C. Karrasch , V. Meden

Josephson junctions formed in semiconductor nanowires host Andreev bound states and serve as a physical platform to realize Andreev qubits tuned by electrostatic gating. With the Andreev bound state being confined to the nanoscale weak…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 O. O. Shvetsov , A. Khola , V. Buccheri , I. P. C. Cools , N. Trnjanin , T. Kanne , J. Nygård , A. Geresdi

Light-matter interaction enables engineering of non-equilibrium quantum systems. In condensed matter, spatially and temporally cyclic Hamiltonians are expected to generate energy-periodic Floquet states, with properties inaccessible at…

Mesoscale and Nanoscale Physics · Physics 2023-11-03 D. Z. Haxell , M. Coraiola , D. Sabonis , M. Hinderling , S. C. ten Kate , E. Cheah , F. Krizek , R. Schott , W. Wegscheider , W. Belzig , J. C. Cuevas , F. Nichele

Topological states of matter are promising resources for composing fault-tolerant quantum computers, advancing beyond the limitations of current noisy intermediate-scale quantum devices. To enable this progress, a deep understanding of…

Quantum Physics · Physics 2024-11-25 Takanori Sugimoto

We discuss bound states appearing at the interface between two different superconductors characterized by different nontrivial topological numbers such as one-dimensional winding numbers and Chern numbers. The one-dimensional winding number…

Superconductivity · Physics 2014-07-10 Jeongmin Yoo , Tetsuro Habe , Yasuhiro Asano

We study the charge transport and thermoelectric properties of the junction, comprising double quantum dot embedded in T-shaped geometry on the interface between two normal/ferromagnetic electrodes and superconducting lead. We show that the…

Mesoscale and Nanoscale Physics · Physics 2025-12-18 G. Górski , K. Kucab , T. Domański

In an in-situ prepared three-terminal Josephson junction based on the topological insulator Bi$_4$Te$_3$ and the superconductor Nb the transport properties are studied. The differential resistance maps as a function of two bias currents…

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