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The phase diagram for a two-dimensional self-avoiding walk model on the square lattice incorporating attractive short-ranged interactions between parallel sections of walk is derived using numerical transfer matrix techniques. The model…

Statistical Mechanics · Physics 2009-11-07 D. P. Foster , F. Seno

We investigate the spatially anisotropic square lattice quantum antiferromagnet. The model describes isotropic spin-1/2 Heisenberg chains (exchange constant J) coupled antiferromagnetically in the transverse (J_\perp) and diagonal…

Strongly Correlated Electrons · Physics 2007-05-23 Oleg A. Starykh , Leon Balents

We use Monte Carlo simulations to map out the phase diagram of the two dimensional Coulomb gas on a square lattice, as a function of density and temperature. We find that the Kosterlitz-Thouless transition remains up to higher charge…

Condensed Matter · Physics 2009-10-28 Pramod Gupta , S. Teitel

We use molecular simulation to construct equilibrium phase diagrams for two recently introduced model materials with isotropic, soft-repulsive pair interactions designed to favor diamond and simple cubic lattice ground states, respectively,…

Materials Science · Physics 2013-10-15 Avni Jain , Jeffrey R. Errington , Thomas M. Truskett

We study the phase diagram of the three-state Potts model on a triangular lattice with general interactions (ferro/antiferromagnetic) between nearest neighbor spins. When the interactions along two lattice-vector directions are…

Condensed Matter · Physics 2009-10-22 Hyunggyu Park

We study spin-1/2 Heisenberg antiferromagnets on a diamond-like-decorated square lattice perturbed by two kinds of further neighbor couplings. In our previous study [J. Phys. Soc. Jpn. 85, 094002 (2016)], the second-order effective…

Statistical Mechanics · Physics 2017-11-15 Yuhei Hirose , Akihide Oguchi , Yoshiyuki Fukumoto

The spin-1/2 Ising-Heisenberg model on a diamond-decorated square lattice exhibits an intriguing temperature-driven phase transition in a magnetic field between a classical ferrimagnetic phase and a quantum monomer-dimer phase. A…

Statistical Mechanics · Physics 2023-08-25 Jozef Strecka , Katarina Karlova , Taras Verkholyak , Nils Caci , Stefan Wessel , Andreas Honecker

The classical cubic-lattice dimer model undergoes an unconventional transition between a columnar crystal and a dimer liquid, in the same universality class as the deconfined quantum critical point in spin-1/2 antiferromagnets but with very…

Statistical Mechanics · Physics 2019-03-04 G. J. Sreejith , Stephen Powell , Adam Nahum

Since constraints hinder the application of numerical algorithms, phase diagrams of quantum dimer models are still controversial, even on the square lattice. The core controversy is whether the mixed state exists. In this article, we give…

Strongly Correlated Electrons · Physics 2021-03-24 Zheng Yan , Zheng Zhou , Olav F. Syljuåsen , Junhao Zhang , Tianzhong Yuan , Jie Lou , Yan Chen

We introduce a lattice model of dimers with directional interactions as a paradigm of molecular fluids or strongly correlated Cooper pairs in electronic systems. The model supports an intermediate phase that is common to both systems. There…

Materials Science · Physics 2007-05-23 F. Semerianov , P. D. Gujrati

We derive an extended lattice gauge theory type action for quantum dimer models and relate it to the height representations of these systems. We examine the system in two and three dimensions and analyze the phase structure in terms of…

Strongly Correlated Electrons · Physics 2015-05-13 Flavio S. Nogueira , Zohar Nussinov

Elaborating on previous theoretical treatments of the roughening transition, we provide the exact mapping of a surface model which undergoes both roughening and preroughening onto a mixture of unit and double charges living on the square…

Statistical Mechanics · Physics 2009-11-10 S. Prestipino

We consider a quantum dimer model (QDM) on the kagome lattice which was introduced recently [Phys. Rev. Lett. 89, 137202 (2002)]. It realizes a Z_2 liquid phase and its spectrum was obtained exactly. It displays a topological degeneracy…

Strongly Correlated Electrons · Physics 2007-05-23 Gregoire Misguich , Vincent Pasquier , Frederic Mila , Claire Lhuillier

The one-dimensional Kondo lattice model with attractive interaction among the conduction electrons is analyzed in the case of half-filling. It is shown that there are three distinct phases depending on the coupling constants of the model.…

Strongly Correlated Electrons · Physics 2009-10-30 N. Shibata , M. Sigrist , E. Heeb

We investigate the electronic phases of an effective Hubbard model on the body-centered-cubic lattice, motivated by alkali-doped fulleride molecular solids. The model incorporates renormalized on-site interactions and an effective inverted…

Strongly Correlated Electrons · Physics 2026-05-08 Theja N. De Silva

We study a two species fermion mixture with different populations on a square lattice modeled by a Hubbard Hamiltonian with on-site inter-species repulsive interaction. Such a model can be realized in a cold atom system with fermionic atoms…

Strongly Correlated Electrons · Physics 2013-02-25 Chen-Yen Lai , Chuntai Shi , Shan-Wen Tsai

The 2D quantum phase transition that occurs in a square lattice of $p+ip$ superconductors is used to show how four-body interactions in $d=2$ reproduce nonperturbative effects familiar from the study of two-body interactions in $d=1$. This…

Strongly Correlated Electrons · Physics 2009-11-10 Cenke Xu , Joel E. Moore

We study the phase diagram of a system of $2\times2\times2$ hard cubes on a three dimensional cubic lattice. Using Monte Carlo simulations, we show that the system exhibits four different phases as the density of cubes is increased:…

Statistical Mechanics · Physics 2019-07-25 N. Vigneshwar , Dipanjan Mandal , Kedar Damle , Deepak Dhar , R. Rajesh

We study the two-dimensional square lattice Hubbard model for small to moderate interaction strengths $1\leq U/t\leq 4$ by means of the ladder dual fermion approach. The non-local correlations beyond dynamical mean-field theory lower the…

Strongly Correlated Electrons · Physics 2018-02-14 Erik G. C. P. van Loon , Hartmut Hafermann , Mikhail Katsnelson

The quantum dimer model on the square lattice is equivalent to a $U(1)$ gauge theory. Quantum Monte Carlo calculations reveal that, for values of the Rokhsar-Kivelson (RK) coupling $\lambda < 1$, the theory exists in a confining columnar…

Strongly Correlated Electrons · Physics 2014-12-31 D. Banerjee , M. Bögli , C. P. Hofmann , F. -J. Jiang , P. Widmer , U. -J. Wiese