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A one-dimensional quantum version of the frustrated XY (planar rotor) model is considered which can be physically realized as a ladder of Josephson-junctions at half a flux quantum per plaquette. This system undergoes a superconductor to…

凝聚态物理 · 物理学 2009-10-22 E. Granato

We study a new generalized version of the square-lattice frustrated XY model where unequal ferromagnetic and antiferromagnetic couplings are arranged in a zig-zag pattern. The ratio between the couplings $\rho$ can be used to tune the…

统计力学 · 物理学 2009-10-30 M. Benakli , E. Granato

The critical behavior of frustrated Josephson-junction arrays at $f=1/2$ flux quantum per plaquette is considered. Results from Monte Carlo simulations and transfer matrix computations support the identification of the critical behavior of…

凝聚态物理 · 物理学 2009-10-28 Enzo Granato , J. M. Kosterlitz , M. P. Nightingale

We study the phase diagram of the two-dimensional fully frustrated XY model (FFXY) and of two related models, a lattice discretization of the Landau-Ginzburg-Wilson Hamiltonian for the critical modes of the FFXY model, and a coupled…

统计力学 · 物理学 2011-07-19 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

We study the phase diagram and critical behavior of the two-dimensional square-lattice fully frustrated XY model (FFXY) and of two related models, a lattice discretization of the Landau-Ginzburg-Wilson Hamiltonian for the critical modes of…

统计力学 · 物理学 2011-02-16 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

A model of a ladder of Josephson junctions in a magnetic field is considered. The topological features of the zero-temperature phase diagram, as a function of charging energy and small deviations from commensurability of the vortex lattice,…

凝聚态物理 · 物理学 2016-08-31 Enzo Granato

We study the two-dimensional fully frustrated XY (FFXY) model and two related models, a discretization of the Landau-Ginzburg-Wilson Hamiltonian for the critical modes of the FFXY model and a coupled Ising-XY model, by means of Monte Carlo…

统计力学 · 物理学 2013-05-29 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

The phase diagram of a novel two-dimensional frustrated Ising model with both anti-ferromagnetic and ferromagnetic couplings is studied using Tensor-Network Renormalization-Group techniques. This model can be seen as two anti-ferromagnetic…

统计力学 · 物理学 2025-02-19 Christophe Chatelain

We discuss the unusual critical behavior of a generalized XY model containing both 2\pi-periodic and \pi-periodic couplings between sites. The presence of vortices and half-vortices allows for single-particle condensate and pair-condensate…

统计力学 · 物理学 2013-05-29 Yifei Shi , Austen Lamacraft , Paul Fendley

We consider the 2D $J_1-J_2$ classical XY model on a square lattice. In the frustrated phase corresponding to $J_2>J_1/2$, an Ising like order parameter emerges by an ``order due to disorder'' effect. This leads to a discrete $Z_2$ symmetry…

统计力学 · 物理学 2009-10-31 D. Loison , P. Simon

We consider the critical behavior of two-dimensional layered Ising models where the exchange couplings between neighboring layers follow hierarchical sequences. The perturbation caused by the non-periodicity could be irrelevant, relevant or…

凝聚态物理 · 物理学 2009-10-28 Ferenc Igloi , Peter Lajko , Ferenc Szalma

We study the critical behavior and the out-of-equilibrium dynamics of a two-dimensional Ising model with non-static interactions. In our model, bonds are dynamically changing according to a majority rule depending on the set of closest…

统计力学 · 物理学 2014-12-10 Oscar A. Pinto , Federico Romá , Sebastian Bustingorry

We study quantum phase transitions in transverse-field Ising spin chains in which the couplings are random but hyperuniform, in the sense that their large-scale fluctuations are suppressed. We construct a one-parameter family of disorder…

统计力学 · 物理学 2019-10-23 Philip J. D. Crowley , C. R. Laumann , Sarang Gopalakrishnan

We explore the phase diagram of Ising spins on one-dimensional chains which criss-cross in two perpendicular directions and which are connected by interchain couplings. This system is of interest as a simpler, classical analog of a quantum…

统计力学 · 物理学 2017-10-18 T. Cary , R. R. P. Singh , R. T. Scalettar

We study the behaviour of a universal combination of susceptibility and correlation length in the Ising model in two and three dimensions, in presence of both magnetic and thermal perturbations, in the neighbourhood of the critical point.…

高能物理 - 格点 · 物理学 2020-07-13 Michele Caselle , Marianna Sorba

Using Monte Carlo simulations, we study the critical behavior of two models of frustrated XY antiferromagnets with a collinear spin ordering and with an additional twofold degeneracy of the ground state. We consider a classic…

强关联电子 · 物理学 2020-04-03 A. O. Sorokin

Conformal field theories do not only classify 2D classical critical behavior but they also govern a certain class of 2D quantum critical behavior. In this latter case it is the ground state wave functional of the quantum theory that is…

高能物理 - 理论 · 物理学 2015-06-05 M. Cristina Diamantini , Carlo A. Trugenberger

We use extensive Monte Carlo transfer matrix calculations on infinite strips of widths $L$ up to 30 lattice spacing and a finite-size scaling analysis to obtain critical exponents and conformal anomaly number $c$ for the two-dimensional…

凝聚态物理 · 物理学 2009-10-28 M. P. Nightingale , E. Granato , J. M. Kosterlitz

The superconductor to insulator transition is studied in a self-charging model for a ladder of Josephson-junctions in presence of an external magnetic field. Path integral Monte Carlo simulations of the equivalent (1+1)-dimensional…

超导电性 · 物理学 2009-11-11 Enzo Granato

We investigate the static and dynamic critical behaviour of a uniformly driven bilayer Ising lattice gas at half filling. Depending on the strength of the interlayer coupling J, phase separation occurs across or within the two layers. The…

统计力学 · 物理学 2009-11-07 U. C. Tauber , B. Schmittmann , R. K. P. Zia
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