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Related papers: CFT description of the Fully Frustrated XY model a…

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The issue of the number, nature and sequence of phase transitions in the fully frustrated XY (FFXY) model is a highly non trivial one due to the complex interplay between its continuous and discrete degrees of freedom. In this contribution…

High Energy Physics - Theory · Physics 2017-08-23 G. Cristofano , V. Marotta , P. Minnhagen , A. Naddeo , G. Niccoli

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…

Statistical Mechanics · Physics 2008-11-25 Petter Minnhagen , Beom Jun Kim , Sebastian Bernhardsson , Gerardo Cristofano

The row model for frustrated XY spins on a triangular lattice in 2D is used to study incommensurate{IC}) spiral and commensurate{C} antiferromagnetic (AF) phases, in the regime where a C-IC transition occurs. Using fluctuating boundary…

Statistical Mechanics · Physics 2009-10-31 M. Gabay , M. Benakli , W. M. Saslow

The row model is used to study the commensurate-incommensurate (C-IC) an isotropic (FFTXY) transitions of the frustrated 2D XY model on the triangular lattice. New relevant variables clarify the physics of these transitions: phase and…

Condensed Matter · Physics 2007-05-23 M. Benakli , M. Gabay , W. M. Saslow

We present a comprehensive study of the effective Conformal Field Theory (CFT) describing the low energy excitations of a gas of spinless interacting fermions on a circle in the gapless regime (Luttinger liquid). Functional techniques and…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 P. Degiovanni , Ch. Chaubet , R. Melin

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…

Superconductivity · Physics 2009-11-11 Kwangmoo Kim , David Stroud

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…

Statistical Mechanics · Physics 2009-10-30 M. Benakli , 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…

Statistical Mechanics · Physics 2013-05-29 Martin Hasenbusch , 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…

Superconductivity · Physics 2015-09-02 S. E. Korshunov

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…

Statistical Mechanics · Physics 2011-07-19 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

The phase diagram of a vertex model introduced by P. Di Francesco (Nucl. Phys. B 525, 507 1998) representing the configurations of a square lattice which can fold with different bending energies along the main axes and the diagonals has…

Statistical Mechanics · Physics 2009-10-31 E. N. M. Cirillo , G. Gonnella , A. Pelizzola

We demonstrate that the Ising model on a general triangular graph with 3 distinct couplings $K_1,K_2,K_3$ corresponds to an affine transformed conformal field theory (CFT). Full conformal invariance of the $c= 1/2$ minimal CFT is restored…

High Energy Physics - Theory · Physics 2023-08-02 Richard C. Brower , Evan K. Owen

We discuss scalar conformal field theories (CFTs) that can be realized in structural phase transitions. The Landau condition and Lifshitz condition are reviewed, which are necessary conditions for a structural phase transition to be second…

High Energy Physics - Theory · Physics 2025-01-28 Junchen Rong

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…

Statistical Mechanics · Physics 2011-02-16 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

The quantum antiferromagnetic spin-1/2 Ising model on a triangular lattice and analogous fully frustrated Ising model on a square lattice with quantum fluctuations induced by the application of the transverse magnetic field are studied at…

Strongly Correlated Electrons · Physics 2015-06-05 S. E. Korshunov

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…

Superconductivity · Physics 2008-01-22 Petter Minnhagen , Beom Jun Kim , Sebastian Bernhardsson , Gerardo Cristofano

Using extensive Monte Carlo simulations, we clarify the critical behaviour of the 3 dimensional simple cubic Ising Fully Frustrated system. We find two transition temperatures and two long range ordered phases. Within the present numerical…

Statistical Mechanics · Physics 2009-10-31 L. W. Bernardi , K. Hukushima , H. Takayama

We examine two-dimensional conformal field theories (CFTs) at central charge c=0. These arise typically in the description of critical systems with quenched disorder, but also in other contexts including dilute self-avoiding polymers and…

High Energy Physics - Theory · Physics 2016-11-23 V. Gurarie , A. W. W. Ludwig

Conformal field theory (CFT) has been extremely successful in describing large-scale universal effects in one-dimensional (1D) systems at quantum critical points. Unfortunately, its applicability in condensed matter physics has been limited…

Strongly Correlated Electrons · Physics 2017-02-15 Jérôme Dubail , Jean-Marie Stéphan , Jacopo Viti , Pasquale Calabrese

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…

Condensed Matter · Physics 2009-10-28 Peter Olsson
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