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We consider a superconducting half-wavelength resonator that is grounded at its both ends and contains a single Josephson junction. Previously this circuit was considered as a unimon qubit in the single-mode approximation where…

Gate-tunable semiconductor-superconductor nanowires with superconducting leads form exotic Josephson junctions that are a highly desirable platform for two types of qubits: those with topological superconductivity (Majorana qubits) and…

In the past two years, magic-angle twisted bilayer graphene has emerged as a uniquely versatile experimental platform that combines metallic, superconducting, magnetic and insulating phases in a single crystal. In particular the ability to…

Mesoscale and Nanoscale Physics · Physics 2021-07-30 Folkert K. de Vries , Elias Portoles , Giulia Zheng , Takashi Taniguchi , Kenji Watanabe , Thomas Ihn , Klaus Ensslin , Peter Rickhaus

We study coherent quantum phase-slips which lift the ground state degeneracy in a Josephson junction ring, pierced by a magnetic flux of the magnitude equal to half of a flux quantum. The quantum phase-slip amplitude is sensitive to the…

We show that whereas spin-1/2 one-dimensional U(1) quantum-link models (QLMs) are topologically trivial, when implemented in ladder-like lattices these models may present an intriguing ground-state phase diagram, which includes a symmetry…

Quantum Gases · Physics 2017-11-08 Lorenzo Cardarelli , Sebastian Greschner , Luis Santos

In this work, we study a Josephson junction with parallel-connected quantum dots (QDs) threaded by a magnetic flux in the central region. We discretize the superconducting (SC) electrode into three discrete energy levels and modify the…

Mesoscale and Nanoscale Physics · Physics 2026-04-30 Yiyan Wang , Cong Li , Bing Dong

We introduce a frustrated spin 1/2 Hamiltonian which is an extension of the two dimensional $J_1 - J_2$ Heisenberg model. The ground states of this model are exactly obtained at a first order quantum phase transition between two regions…

Strongly Correlated Electrons · Physics 2009-11-10 C. D. Batista , S. A. Trugman

We theoretically investigate how the spin susceptibility of a planar Josephson junction is affected when the system transits into the topological superconducting state. We show that the magnetic flux and magnetic field dependence of the…

Superconductivity · Physics 2021-10-04 Joseph D. Pakizer , Alex Matos-Abiague

Integrating conventional superconductors with common III-V semiconductors provides a versatile platform to implement tunable Josephson junctions (JJs) and their applications. We propose that with gate-controlled time-dependent spin-orbit…

Superconductivity · Physics 2022-11-09 David Monroe , Mohammad Alidoust , Igor Žutić

We present analytical and numerical studies of pinned superconducting states of open-ended Josephson ladder arrays, neglecting inductances but taking edge effects into account. Treating the edge effects perturbatively, we find analytical…

Superconductivity · Physics 2009-10-30 Mauricio Barahona , Steven H. Strogatz , Terry P. Orlando

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

An odd-occupied quantum dot in a Josephson junction can flip transmission phase, creating a {\pi}-junction. When the junction couples topological superconductors, no phase flip is expected. We investigate this and related effects in a…

Mesoscale and Nanoscale Physics · Physics 2020-09-16 D. Razmadze , E. C. T. O'Farrell , P. Krogstrup , C. M. Marcus

We present all the possible solutions of a Josephson junction with bias current and magnetic field with both inline and overlap geometry, and examine their stability. We follow the bifurcation of new solutions as we increase the junction…

Superconductivity · Physics 2009-10-31 J. -G. Caputo , N. Flytzanis , Y. Gaididei , N. Stefanakis , E. Vavalis

In the present paper it is shown that the interaction between oscillations of a double-well trappedcondensate and excited Josephson states corresponding to a large enough initial disbalance of the particle number generates their bound…

Soft Condensed Matter · Physics 2009-11-07 L. A. Manakova

The realization and manipulation of Majorana zero modes is a key step in achieving topological quantum computation. In this paper, we demonstrate the existence of Majorana corner states in a superconductor-insulators-superconductor vertical…

Superconductivity · Physics 2025-09-17 Cheng-Ming Miao , Yu-Hao Wan , Ying-Tao Zhang , Qing-Feng Sun

We provide a complete study of the phase diagram characterising the distinct dynamical regimes emerging in a three-dimensional Josephson junction in an ultracold quantum gas. Considering trapped ultracold superfluids separated into two…

Quantum Gases · Physics 2020-12-30 K. Xhani , L. Galantucci , C. F. Barenghi , G. Roati , A. Trombettoni , N. P. Proukakis

Geometric frustration lies at the heart of many unconventional quantum phases in strongly interacting electron systems. Here, we analytically determine the ground state magnetization of the half-filled Hubbard model on frustrated geometries…

Strongly Correlated Electrons · Physics 2025-09-10 F. P. M. Méndez-Córdoba , J. Tindall , D. Jaksch , F. Schlawin

A growing body of work suggests that planar Josephson junctions fabricated using superconducting hybrid materials provide a highly controllable route toward one-dimensional topological superconductivity. Among the experimental controls are…

We have investigated numerically the phase--locking behavior of two-dimensional Josephson junction arrays,taking into account a finite inductance ($l\stackrel{>}{\sim}1$) of the unit cell and external magnetic fields. Within this model we…

Condensed Matter · Physics 2009-10-22 W. Krech , K. Yu. Platov

Recent experiments [L. Ju et al., Nature, 2015, 520, 650] confirm the existence of gapless states at domain walls created in gated bilayer graphene, when the sublattice stacking is changed from AB to BA. These states are significant because…

Mesoscale and Nanoscale Physics · Physics 2016-03-15 Wlodzimierz Jaskolski , Marta Pelc , Leonor Chico , Andres Ayuela