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We investigate the quantum phase transitions in two capacitively coupled two-dimensional Josephson-junction arrays with charge frustration. The system is mapped onto the S=1 and $S=1/2$ anisotropic Heisenberg antiferromagnets near the…

Condensed Matter · Physics 2009-10-31 Minchul Lee , Mahn-Soo Choi , M. Y. Choi

We present a theoretical study of resonant frequencies and spatial correlations of Josephson phases in frustrated arrays of Josephson junctions. Two types of one-dimensional arrays, namely, the diamond and sawtooth chains, are discussed.…

Mesoscale and Nanoscale Physics · Physics 2019-02-20 A. Andreanov , M. V. Fistul

It is predicted that the fully frustrated Josephson-junction array on a square lattice with alternating columns of junctions having a reduced critical current $I_{weak}=\mu I_{0}$(with $\mu<1$ and $I_{0}$ the critical current of all other…

Condensed Matter · Physics 2009-10-28 M. V. Simkin

We study the frustration pattern of a square lattice with in-situ fabricated Nb-Pt-Nb four-terminal Josephson junctions. The four-terminal geometry gives rise to a checker board pattern of alternating fluxes f, f' piercing the plaquettes,…

We experimentally studied the effect of positional disorder on a Josephson junction array with $f = n$, ${1/2} + n$, or ${2/5} + n$ flux quanta per unit cell for integral $n$. This system provides an experimental realization of a…

Superconductivity · Physics 2007-05-23 Young-Je Yun , In-Cheol Baek , Mu-Yong Choi

We review the self-consistent mean-field theory for charge-frustrated Josephson junction arrays. Using <cos(\phi)> (\phi is the phase of the superconducting wavefunction) as order parameter and imposing the self-consistency condition, we…

Superconductivity · Physics 2007-05-23 F. P. Mancini , P. Sodano , A. Trombettoni

We consider the effect of positional disorder on a Josephson junction array with an applied magnetic field of f=1/2 flux quantum per unit cell. This is equivalent to the problem of random Gaussian phase shifts in the fully frustrated 2D XY…

Superconductivity · Physics 2009-10-31 Pramod Gupta , S. Teitel

Two-dimensional arrays of superconductors separated by normal metallic regions exhibit rich phenomenology and a high degree of controllability. We establish such systems as platforms for topological phases of matter, and in particular…

Mesoscale and Nanoscale Physics · Physics 2024-04-29 Omri Lesser , Ady Stern , Yuval Oreg

To study the properties of frustrated two-dimensional Josephson junction arrays near incommensurability, we examine the current-voltage characteristics of a square proximity-coupled Josephson junction array at a sequence of frustrations…

Superconductivity · Physics 2007-05-23 In-Cheol Baek , Young-Je Yun , Mu-Yong Choi

Supersolid phases as a result of a coexistence of superfluid and density ordered checkerboard phases are predicted to appear in ultracold Fermi molecules confined in a bilayer array of two-dimensional square optical lattices. We demonstrate…

Quantum Gases · Physics 2016-10-25 A. Camacho-Guardian , R. Paredes

We study disordered Josephson junctions arrays with long-range interaction and charging effects. The model consists of two orthogonal sets of positionally disordered $N$ parallel filaments (or wires) Josephson coupled at each crossing and…

Condensed Matter · Physics 2016-08-15 T. K. Kopeć , J. V. José

Transport measurements are carried out on dice Josephson-junction arrays with the frustration index $f=1/3$ and 1/2 which possess, within the limit of the $XY$ model, an accidental degeneracy of the ground states as a consequence of the…

Superconductivity · Physics 2008-12-01 In-Cheol Baek , Young-Je Yun , Mu-Yong Choi

We report a direct observation of the crossover of the superconductor- ferromagnet-superconductor (SFS) junctions to the \pi-state which manifests itself in the half-period shift of the external magnetic field dependence of the transport…

Superconductivity · Physics 2007-05-23 V. V. Ryazanov , V. A. Oboznov , A. V. Veretennikov , A. Yu. Rusanov

We study the competition between Josephson and charging energies in two-dimensional arrays of ultrasmall Josephson junctions, when the mutual capacitance is dominant over the self-capacitance. Our calculations involve a combination of an…

Condensed Matter · Physics 2016-08-14 Jorge V. José , Cristian Rojas

We perform a stability analysis of superfluid (SF) and supersolid (SS) phases of polarized dipolar bosons in two-dimensional optical lattices at high filling factors and zero temperature, and obtain the phase boundaries between SF,…

Other Condensed Matter · Physics 2015-05-13 Ippei Danshita , Carlos A. R. Sá de Melo

Phases analogous to supersolids can be realized in spin systems. Here we obtain the phase diagram of a frustrated dimer spin-1/2 system on a square lattice and study the collective excitation spectra, focusing on the supersolid state (SS).…

Strongly Correlated Electrons · Physics 2015-03-27 Yuta Murakami , Takashi Oka , Hideo Aoki

We demonstrate that the recent observations of spatial oscillations in the energy position of the superconducting coherence peaks in the cuprate, transition metal dichalcogenide, iron-based and heavy-fermion superconductors are consistent…

Superconductivity · Physics 2025-12-03 Alyson Laskowski , Jasmin Bedow , Dirk K. Morr

We study dynamical phase transitions at temperature T = 0 in a fully frustrated square Josephson junction array subject to a driving current density which has nonzero components parallel to both axes of the lattice. Our numerical results…

Superconductivity · Physics 2007-05-23 K. D. Fisher , D. Stroud , L. Janin

We study the phase diagram at finite temperature of Josephson junction arrays with capacitive disorder (i.e., random offset charges and/or random charging energies): in the limit of large particle numbers per junction, this is a remarkable…

Superconductivity · Physics 2007-05-23 F. P. Mancini , P. Sodano , A. Trombettoni

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…

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