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The ordering transitions of a 2D lattice liquid characterized by a single favoured local structure (FLS) are studied using Monte Carlo simulations. All eight distinct geometries for the FLS are considered and we find a variety of ordering…

Statistical Mechanics · Physics 2015-06-12 Pierre Ronceray , Peter Harrowell

We investigate two-dimensional (2d) melting in the presence of a one-dimensional (1d) periodic potential as, for example, realized in recent experiments on 2d colloids subjected to two interfering laser beams. The topology of the phase…

Soft Condensed Matter · Physics 2009-10-31 Leo Radzihovsky , Erwin Frey , David R. Nelson

We study the quantum phase transition of interacting electrons in quantum wires from a one-dimensional (1D) linear configuration to a quasi-1D zigzag arrangement using quantum Monte Carlo methods. As the density increases from its lowest…

Mesoscale and Nanoscale Physics · Physics 2014-08-21 Abhijit C. Mehta , C. J. Umrigar , Julia S. Meyer , Harold U. Baranger

We introduce a three-dimensional lattice gas model to study the glass transition. In this model the interactions come from the excluded volume and particles have five arms with an asymmetrical shape, which results in geometric frustration…

Statistical Mechanics · Physics 2007-05-23 Anastasio Díaz-Sánchez

Finite temperature instantons between meta-stable vacua of correlated electronic system are solved analytically for quasi one-dimensional Hubbard model. The instantons produce dynamic symmetry breaking and connect metallic state with the…

Strongly Correlated Electrons · Physics 2008-07-29 S. I. Mukhin

We reconsider model II of [J. Chem. Phys. 1968, 49, 1778--1783], a two-dimensional lattice-gas system featuring a crystalline phase and two distinct fluid phases (liquid and vapor). In this system, a particle prevents other particles from…

Statistical Mechanics · Physics 2022-04-01 Santi Prestipino , Gabriele Costa

We consider a two dimensional model of non-interacting chains of spinless fermions weakly coupled via a small inter-chain hopping and a repulsive inter-chain interaction. The phase diagram of this model has a surprising feature: an abrupt…

Strongly Correlated Electrons · Physics 2015-05-18 Sam T. Carr , Jorge Quintanilla , Joseph J. Betouras

A lattice gas with infinite repulsion between particles separated by $\leq 1$ lattice spacing, and nearest-neighbor hopping dynamics, is subject to a drive favoring movement along one axis of the square lattice. The equilibrium (zero drive)…

Statistical Mechanics · Physics 2009-10-31 Ronald Dickman

So far, several transition metal dichalcogenides (TMDCs) based two-dimensional (2D) topological insulators (TIs) have been discovered, all of them based on a tetragonal lattice. However, in 2D crystals, the hexagonal rather than the…

Materials Science · Physics 2016-02-17 Yandong Ma , Liangzhi Kou , Xiao Li , Ying Dai , Thomas Heine

The topological properties of a material depend on its symmetries, parameters, and spatial dimension. Changes in these properties due to parameter and symmetry variations can be understood by computing the corresponding topological…

Mesoscale and Nanoscale Physics · Physics 2025-11-27 Martin Rodriguez-Vega , Terry A. Loring , Alexander Cerjan

We demonstrate a novel experimental arrangement which rotates a 2D optical lattice at frequencies up to several kilohertz. Ultracold atoms in such a rotating lattice can be used for the direct quantum simulation of strongly correlated…

Quantum Physics · Physics 2009-11-13 R. A. Williams , J. D. Pillet , S. Al-Assam , B. Fletcher , M. Shotter , C. J. Foot

We study a variety of Hofstadter ladders in order to probe the interplay between interactions, an applied magnetic field and crystalline or quasiperiodic geometries. Rotational motion will be induced on charged particles when a magnetic…

Strongly Correlated Electrons · Physics 2022-12-23 Dean Johnstone , Patrik Öhberg , Callum W. Duncan

We investigate experimentally the dynamic phase transition of a two-dimensional active nematic layer interfaced with a passive liquid crystal. Under a temperature ramp that leads to the transition of the passive liquid into a highly…

We have characterized the one-dimensional (1D) to three-dimensional (3D) crossover of a two-component spin-imbalanced Fermi gas of 6-lithium atoms in a 2D optical lattice by varying the lattice tunneling and the interactions. The gas phase…

Atomic Physics · Physics 2016-12-01 Melissa C. Revelle , Jacob A. Fry , Ben A. Olsen , Randall G. Hulet

Multipole symmetries are of interest in multiple contexts, from the study of fracton phases, to nonergodic quantum dynamics, to the exploration of new hydrodynamic universality classes. However, prior explorations have focused on continuum…

Strongly Correlated Electrons · Physics 2023-12-13 Daniel Bulmash , Oliver Hart , Rahul Nandkishore

The competition between interactions in frustrated magnets allows a wide variety of new ground states, often exhibiting emergent physics and unique excitations. Expanding the suite of lattices available for study enhances our chances of…

Strongly Correlated Electrons · Physics 2017-01-24 Darren C. Peets , Hasung Sim , Seongil Choi , Maxim Avdeev , Seongsu Lee , Su Jae Kim , Hoju Kang , Docheon Ahn , Je-Geun Park

We study the mechanics of temperature-driven reconstructive martensitic transformations in crystalline materials, within the framework of nonlinear elasticity theory. We focus on the prototypical case of the square-hexagonal transition in…

Materials Science · Physics 2025-05-23 Edoardo Arbib , Noemi Barrera , Paolo Biscari , Giovanni Zanzotto

We present a mean-field description of the zig-zag phase transition of a quasi-one-dimensional system of strongly interacting particles, with interaction potential $r^{-n}e^{-r/\lambda}$, that are confined by a power-law potential…

Statistical Mechanics · Physics 2012-07-19 J. E. Galván-Moya , F. M. Peeters

We study the quantum phase transition between the $Z_2$ spin liquid and valence bond solid (VBS) orders on a triangular lattice. With a fully isotropic triangular lattice, the transition from a columnar or resonating-plaquette VBS order can…

Strongly Correlated Electrons · Physics 2015-06-16 Kevin Slagle , Cenke Xu

We study the phase diagram of a system of $2\times 2\times 1$ hard plates on the three dimensional cubic lattice, {\em i.e.} a lattice gas of plates that each cover an elementary plaquette of the cubic lattice and occupy its four vertices,…

Statistical Mechanics · Physics 2023-07-12 D. Mandal , G. Rakala , K. Damle , D. Dhar , R. Rajesh
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