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We use the two-step density-matrix renormalization group method to study the effects of frustration in Heisenberg models for $S=1/2$ to S=4 in a two-dimensional anisotropic lattice. We find that as in $S=1/2$ studied previously, the system…

Strongly Correlated Electrons · Physics 2009-11-11 S. Moukouri

Using the pseudospin representation and the SU(2) phase operators we introduce a complex parameter to characterize both infinite and finite superconducting systems. While in the bulk limit the parameter becomes identical to the conventional…

Superconductivity · Physics 2007-05-23 Zafer Gedik

We investigate the interplay between frustration and zero-point quantum fluctuations in the ground state of the triangular and $J_1{-}J_2$ Heisenberg antiferromagnets, using finite-size spin-wave theory, exact diagonalization, and quantum…

Strongly Correlated Electrons · Physics 2009-11-07 Luca Capriotti

We show that a $\mathbb{Z}_3$ quantum double can be realized in an array of superconducting wires coupled via Josephson junctions. With a suitably chosen magnetic flux threading the system, the inter-wire Josephson couplings take the form…

Strongly Correlated Electrons · Physics 2021-08-16 Zhi-Cheng Yang , Dmitry Green , Hongji Yu , Claudio Chamon

We study quantum transport in ballistic $s_\pm$-wave superconductors where coupling between the two bands is included, and apply our model to three possible probes for detecting the internal phase shift of such a pairing state: tunneling…

Superconductivity · Physics 2009-10-08 Iver Bakken Sperstad , Jacob Linder , Asle Sudbø

Josephson weak links in superconductors can be engineered such that the phase difference across the junction is $\pi$ ($\pi$-junction),leading to the reversal of the current. The conditions under which the analogous effect of supercurrent…

Condensed Matter · Physics 2007-05-23 E. Sakellari , N. P. Proukakis , M. Leadbeater , C. S. Adams

Phase slips occur across all Josephson junctions (JJs) at a rate that increases with the impedance of the junction. In superconducting qubits composed of JJ-array superinductors -- such as fluxonium -- phase slips in the array can lead to…

Using a new cluster Monte Carlo algorithm, we study the phase diagram and critical properties of an interacting pair of resistively shunted Josephson junctions. This system models tunneling between two electrodes through a small…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 Philipp Werner , Gil Refael , Matthias Troyer

We study frustrated, two-dimensional, quantum antiferromagnets in the vicinity of a quantum transition from a non-collinear, magnetically-ordered ground state to a quantum disordered phase. The general scaling properties of this transition…

Condensed Matter · Physics 2009-10-22 Andrey V. Chubukov , Subir Sachdev , T. Senthil

The s+- state in which order parameter has different signs in different bands is a leading candidate for the superconducting state in the iron based superconductors. We investigate a Josephson junction between s and s+- superconductors…

Superconductivity · Physics 2012-12-17 A. E. Koshelev

We consider transport through a Josephson junction consisting of a conventional s-wave superconductor coupled via a double quantum dot to a noncentrosymmetric superconductor with both, singlet and triplet pairing. We calculate the Andreev…

Superconductivity · Physics 2015-07-13 Björn Sothmann , Rakesh P. Tiwari

The observation of Josephson current in the quantum Hall regime has attracted considerable attention, revealing the coexistence of two seemingly incompatible phases: the quantum Hall and superconducting states. However, the mechanism…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 Seong Jang , Geon-Hyoung Park , Kenji Watanabe , Takashi Taniguchi , Gil-Ho Lee

We review the topological gauge theory of Josephson junction arrays and thin film superconductors, stressing the role of the usually forgotten quantum phase slips, and we derive their quantum phase structure. A quantum phase transition from…

Superconductivity · Physics 2023-09-21 Carlo A. Trugenberger

We study the S=1 square lattice Heisenberg antiferromagnet with spatially anisotropic nearest neighbor couplings $J_{1x}$, $J_{1y}$ frustrated by a next-nearest neighbor coupling $J_{2}$ numerically using the density-matrix renormalization…

Strongly Correlated Electrons · Physics 2015-05-13 H. C. Jiang , F. Krüger , J. E. Moore , D. N. Sheng , J. Zaanen , Z. Y. Weng

We study static vacancies in the collinear magnetic phase of a frustrated Heisenberg $J_1$-$J_2$ model. It is found that vacancies can rapidly suppress the collinear antiferromagnetic state (CAFM)and generate a new magnetic phase, an…

Strongly Correlated Electrons · Physics 2015-03-19 Bao Xu , Chen Fang , W. M. Liu , Jiangping Hu

Quantum phase transitions typically result in a broadened critical or crossover region at nonzero temperature. Josephson arrays are a model of this phenomenon, exhibiting a superconductor-insulator transition at a critical wave impedance,…

Mesoscale and Nanoscale Physics · Physics 2023-12-05 S. Mukhopadhyay , J. Senior , J. Saez-Mollejo , D. Puglia , M. Zemlicka , J. Fink , A. P. Higginbotham

We have studied experimentally the magnetic field-induced superconductor-insulator quantum phase transition in one-dimensional arrays of small Josephson junctions. The zero bias resistance was found to display a drastic change upon…

Superconductivity · Physics 2013-05-29 Watson Kuo , C. D. Chen

Mesoscopic multi-terminal Josephson junctions are novel devices that provide weak coupling between several bulk superconductors through a common normal layer. Because of the nonlocal coupling of the superconducting banks, a current flow…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. H. S. Amin , A. N. Omelyanchouk , A. Blais , A. Maassen van den Brink , G. Rose , T. Duty , A. M. Zagoskin

The phase transitions occurring in the frustrated Ising square antiferromagnet with first- ($J_1 < 0$) and second- ($J_2 < 0$) nearest-neighbor interactions are studied within the framework of the effective-field theory with correlations…

Statistical Mechanics · Physics 2015-07-03 A. Bobák , T. Lučivjanský , M. Borovský , M. Žukovič

The observation of a separation between the antiferromagnetic phase boundary and the small-large Fermi surface transition in recent experiments has led to the proposal that frustration is an important additional tuning parameter in the…

Strongly Correlated Electrons · Physics 2010-10-04 Piers Coleman , Andriy H. Nevidomskyy