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We have numerically studied the statics and dynamics of a model three-dimensional vortex lattice at low magnetic fields. For the statics we use a frustrated 3D XY model on a stacked triangular lattice. We model the dynamics as a coupled…

Condensed Matter · Physics 2009-10-30 Seungoh Ryu , David Stroud

We present Monte Carlo simulations of a three-state lattice gas, half-filled with two types of particles which attract one another, irrespective of their identities. A bias drives the two particle species in opposite directions,…

Statistical Mechanics · Physics 2009-11-07 E. Lyman , B. Schmittmann

We show that the order-disorder phase transition in the three state Potts ferromagnet on a square lattice is driven by a coupled proliferation of vortices and domain walls. Raising the vortex core energy above a certain value decouples the…

Statistical Mechanics · Physics 2016-03-08 Soumyadeep Bhattacharya , Purusattam Ray

We investigate the nature of the phase transition in Josephson junctions arranged on a Kagome lattice. We find that an applied magnetic field corresponding to 1/2 flux quanta per elementary triangle results in a pi phase shift in the…

Condensed Matter · Physics 2007-05-23 M. S. Rzchowski

The ground state of the $S=1/2$ $J_{1}-J_{1}$ Heisenberg model on the 2D square lattice with arbitrary signs of exchange constants is considered. States with different spin long-range order types (antiferromagnetic checkerboard, stripe,…

Strongly Correlated Electrons · Physics 2013-07-25 A. V. Miheyenkov , A. V. Shvartsberg , A. F. Barabanov

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…

Statistical Mechanics · Physics 2011-11-11 A. Kalz , A. Honecker , M. Moliner

Low-temperature magnetization curves and thermodynamics of a frustrated spin-1/2 Heisenberg triangular bilayer with the antiferromagnetic intradimer interaction and either ferromagnetic or antiferromagnetic interdimer interaction are…

Statistical Mechanics · Physics 2018-11-28 Jozef Strecka , Katarina Karlova , Vasyl Baliha , Oleg Derzhko

The frustration properties of the Ising model on a one-dimensional monoatomic equidistant lattice are investigated taking into account the exchange interactions of atomic spins at the sites of the first (nearest), second (next-nearest) and…

Statistical Mechanics · Physics 2022-06-22 A. V. Zarubin , F. A. Kassan-Ogly , A. I. Proshkin

The classical $J_1$-$J_2$ Ising model on the square lattice is a minimal model of frustrated magnetism whose phase boundaries have remained under scrutiny for decades. Signs of first-order phase transitions have appeared in some studies,…

Statistical Mechanics · Physics 2024-03-20 Adil A. Gangat

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…

Statistical Mechanics · Physics 2009-10-31 D. Loison , P. Simon

Based on the ladder dual-fermion approach, we present a comprehensive study of the phases of the isotropic Hubbard model on the triangular lattice. We find a rich phase diagram containing most of the phases that have already been…

Strongly Correlated Electrons · Physics 2014-05-07 Gang Li , Andrey E. Antipov , Alexey N. Rubtsov , Stefan Kirchner , Werner Hanke

We consider the thermal phase transition from a paramagnetic to stripe-antiferromagnetic phase in the frustrated two-dimensional square-lattice Ising model with competing interactions J1<0 (nearest neighbor, ferromagnetic) and J2 >0 (second…

Statistical Mechanics · Physics 2013-06-19 Songbo Jin , Arnab Sen , Wenan Guo , Anders W. Sandvik

In this paper, we study phase structure of a system of hard-core bosons with a nearest-neighbor (NN) repulsive interaction in a stacked triangular lattice. Hamiltonian of the system contains two parameters one of which is the hopping…

Quantum Physics · Physics 2015-06-04 H. Ozawa , I. Ichinose

We study the competition between antiferromagnetic order and valence bond solid formation in a two-dimensional frustrated spin-1/2 model. The J1-J2 model on the square lattice is further frustrated by introducing products of three-spin…

Quantum Physics · Physics 2013-05-29 Alain Gellé , Andreas Läuchli , Brijesh Kumar , Frédéric Mila

By introducing a chiral term into the Hamiltonian of the 3-state Potts model on a triangular lattice additional symmetries are achieved between the clockwise and anticlockwise states and the ferromagnetic state. This model is investigated…

Statistical Mechanics · Physics 2009-11-07 Z. F. Wang , B. W. Southern , D. A. Lavis

We perform an extensive density matrix renormalization group (DMRG) study of the ground-state phase diagram of the spin-1/2 J_1-J_2 Heisenberg model on the kagome lattice. We focus on the region of the phase diagram around the kagome…

Strongly Correlated Electrons · Physics 2015-03-26 Fabian Kolley , Stefan Depenbrock , Ian P. McCulloch , Ulrich Schollwöck , Vincenzo Alba

We have elucidated the dynamic phase transition features and finite-size scaling analysis of the triangular lattice system under the presence of a square-wave magnetic field. It has been found that as the value of half-period of the…

Statistical Mechanics · Physics 2017-06-13 Erol Vatansever

The 3-state Potts field theory describes the scaling limit of the 3-state Potts model on the two-dimensional lattice near its continuous phase transition point. In the presence of thermal and magnetic field perturbations, the 3-state Potts…

Statistical Mechanics · Physics 2015-01-07 S. B. Rutkevich

Magnetic and electronic properties of a Kondo lattice model with Ising localized spins are studied on an isotropic triangular lattice. By using Monte Carlo simulation, we present that the model shows a rich phase diagram with four dominant…

Strongly Correlated Electrons · Physics 2013-05-03 Hiroaki Ishizuka , Yukitoshi Motome

Motivated by dipolar-coupled artificial spin systems, we present a theoretical study of the classical $J_1-J_2-J_3$ Ising antiferromagnet on the kagome lattice. We establish the ground-state phase diagram of this model for $J_1 > |J_2|,…

Strongly Correlated Electrons · Physics 2022-11-03 Jeanne Colbois , Bram Vanhecke , Laurens Vanderstraeten , Andrew Smerald , Frank Verstraete , Frédéric Mila