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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

A generalization of the one-dimensional frustrated quantum XY model is considered in which the inter and intra-chain coupling constants of the two infinite XY (planar rotor) chains have different strengths. The model can describe the…

凝聚态物理 · 物理学 2009-10-22 E. 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

We have used Monte Carlo simulations, combined with finite-size scaling and two different real-space renormalization group approaches, to study a fully frustrated three-dimensional XY model on a simple cubic lattice. This model corresponds…

超导电性 · 物理学 2009-11-11 Kwangmoo Kim , David Stroud

It is shown that the phase diagram of the two-dimensional generalized fully-frustrated XY model on a square lattice contains a crossing of the chirality transition and the Kosterlitz-Thouless (KT) transition, as well as a stable phase…

超导电性 · 物理学 2008-01-22 Petter Minnhagen , Beom Jun Kim , Sebastian Bernhardsson , Gerardo Cristofano

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

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 introduce a fully frustrated XY model with nearest neighbor (nn) and next nearest neighbor (nnn) couplings which can be realized in Josephson junction arrays. We study the phase diagram for $0\leq x \leq 1$ ($x$ is the ratio between nnn…

统计力学 · 物理学 2009-10-31 G. Franzese , V. Cataudella , S. E. Korshunov , R. Fazio

The fully frustrated $XY$ model on a square lattice is studied by means of Monte Carlo simulations. A Kosterlitz-Thouless transition is found at $T_{\rm KT} \approx 0.446$, followed by an ordinary Ising transition at a slightly higher…

凝聚态物理 · 物理学 2009-10-28 Peter Olsson

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 investigate the finite-temperature phase diagram of the classical $J_1$-$J_2$ XY model on a square lattice using a tensor network approach designed for frustrated spin systems. This model, characterized by competing nearest-neighbor and…

强关联电子 · 物理学 2024-12-30 Feng-Feng Song , Hanggai Nuomin , Naoki Kawashima

We analyze the phase transition of the frustrated $J_1$-$J_2$ Ising model with antiferromagnetic nearest- and strong next-nearest neighbor interactions on the square lattice. Using extensive Monte Carlo simulations we show that the nature…

统计力学 · 物理学 2011-11-11 A. Kalz , A. Honecker , M. Moliner

A 2D Fully Frustrated XY(FFXY) class of models is shown to contain a new groundstate in addition to the checkerboard groundstates of the standard 2D FFXY model. The spin configuration of this additional groundstate is obtained. Associated…

统计力学 · 物理学 2008-11-25 Petter Minnhagen , Beom Jun Kim , Sebastian Bernhardsson , Gerardo Cristofano

The seminal theoretical works of Berezinskii, Kosterlitz, and Thouless presented a new paradigm for phase transitions in condensed matter that are driven by topological excitations. These transitions have been extensively studied in the…

量子物理 · 物理学 2020-09-16 R. Cosmic , K. Kawabata , Y. Ashida , H. Ikegami , S. Furukawa , P. Patil , J. M. Taylor , Y. Nakamura

We consider the two-dimensional uniformly frustrated XY model in the limit of small frustration, which is equivalent to an XY system, for instance a Josephson junction array, in a weak uniform magnetic field applied along a direction…

统计力学 · 物理学 2009-11-13 Vincenzo Alba , Andrea Pelissetto , Ettore Vicari

We show that a physical realization of the phase diagram proposed by Minnhagen et al. [Phys. Rev. B 78, 184432 (2008)] for so-called generalized fully frustrated XY model on square lattice can be achieved in arrays of SFS…

超导电性 · 物理学 2015-09-02 S. E. Korshunov

Critical properties of a geometrically frustrated generalized $XY$ model with antiferromagnetic (AFM) and third-order antinematic (AN3) couplings on a triangular lattice are studied by Monte Carlo simulation. It is found that such a…

统计力学 · 物理学 2020-09-16 M. Lach , M. Žukovič

The measurements of the magnetic and nematic correlation lengths in a generalization of the two dimensional XY model on the square lattice are presented using classical Monte Carlo simulation. The full phase diagram is re-examined based on…

统计力学 · 物理学 2018-10-17 Duong Xuan Nui , Le Tuan , Nguyen Duc Trung Kien , Pham Thanh Huy , Hung T. Dang , Dao Xuan Viet

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…

统计力学 · 物理学 2015-07-03 A. Bobák , T. Lučivjanský , M. Borovský , M. Žukovič

We investigate the nature of a $Z_2$-invariant XY ring-exchange interaction with a frustrated Ising coupling on the triangular lattice. In the limit of pure XY ring-exchange interaction, we show that the classical ground state is degenerate…

强关联电子 · 物理学 2016-04-20 S. A. Owerre
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