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I study a dimer model on the square lattice with nearest-neighbor exclusion as the only interaction. Detailed simulations using tomographic entropic sampling show that as the chemical potential is varied, there is a strongly discontinuous…

Statistical Mechanics · Physics 2015-03-20 Ronald Dickman

A new model for lamellar surfaces formed by anisotropic molecules is proposed. The molecules have internal degrees of freedom, associated with their flexible section of length $N$ at zero temperature. We obtain a 2D non-standard six vertex…

Condensed Matter · Physics 2009-10-28 B. Bassetti , G. Mazzoletti , P. Jona

Monte Carlo simulations and finite-size scaling analysis have been carried out to study the critical behavior in a submonolayer lattice-gas of interacting monomers adsorbed on one-dimensional channels arranged in a triangular…

Strongly Correlated Electrons · Physics 2009-11-11 P. M. Pasinetti , F. Roma , J. L. Riccardo , A. J. Ramirez-Pastor

Motivated by the current interest in the quantum dimer model on the triangular lattice, we investigate the phase diagram of the closely related fully-frustrated transverse field Ising model on the honeycomb lattice using classical and…

Strongly Correlated Electrons · Physics 2015-05-19 T. Coletta , J. -D. Picon , S. E. Korshunov , F. Mila

We study a monomer-dimer model with repulsive interactions between the same species in one dimension. With infinitely strong interactions the model exhibits a continuous transition from a reactive phase to an inactive phase with two…

Condensed Matter · Physics 2015-06-25 Hyunggyu Park , Heungwon Park

We study critical behavior in the classical cubic dimer model (CDM) in the presence of a finite density of monomers. With attractive interactions between parallel dimers, the monomer-free CDM exhibits an unconventional transition from a…

Statistical Mechanics · Physics 2014-01-14 G. J. Sreejith , Stephen Powell

We consider two-dimensional systems of point particles located on rectangular lattices and interacting via pairwise potentials. The goal of this paper is to investigate the phase transitions (and their nature) at fixed density for the…

Mathematical Physics · Physics 2025-09-24 Laurent Bétermin , Ladislav Šamaj , Igor Travěnec

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 investigate the effects of aperiodic interactions on the critical behavior of an interacting two-polymer model on hierarchical lattices (equivalent to the Migadal-Kadanoff approximation for the model on Bravais lattices), via…

Statistical Mechanics · Physics 2009-11-10 T. A. S. Haddad , R. F. S. Andrade , S. R. Salinas

We study the triangular-lattice Ising model with dipolar interactions, inspired by its realisation in artificial arrays of nanomagnets. We show that a classical spin-liquid forms at intermediate temperatures, and that its behaviour can be…

Strongly Correlated Electrons · Physics 2018-10-03 Andrew Smerald , Frederic Mila

The dynamic phase transitions have been studied, within a mean-field approach, in the kinetic spin-1 Ising model Hamiltonian with arbitrary bilinear and biquadratic pair interactions in the presence of a time varying (sinusoidal) magnetic…

Statistical Mechanics · Physics 2009-11-11 Mustafa Keskin , Osman Canko , Ersin Kantar

We study a monomer-dimer model with repulsive interactions between the same species in one dimension. With infinitely strong interactions the model exhibits a continuous transition from a reactive phase to an inactive phase with two…

Condensed Matter · Physics 2007-05-23 Hyunggyu Park

We study the extended Hubbard model on the triangular lattice as a function of filling and interaction strength. The complex interplay of kinetic frustration and strong interactions on the triangular lattice leads to exotic phases where…

Strongly Correlated Electrons · Physics 2014-12-16 Luca F. Tocchio , Claudius Gros , Xue-Feng Zhang , Sebastian Eggert

We study hard dimers on dynamical lattices in arbitrary dimensions using a random tensor model. The set of lattices corresponds to triangulations of the d-sphere and is selected by the large N limit. For small enough dimer activities, the…

Statistical Mechanics · Physics 2015-06-04 Valentin Bonzom , Harold Erbin

In a recent study [Phys. Rev. X 10, 021042 (2020)], we showed using large-scale density matrix renormalization group (DMRG) simulations on infinite cylinders that the triangular lattice Hubbard model has a chiral spin liquid phase. In this…

Strongly Correlated Electrons · Physics 2021-06-23 Aaron Szasz , Johannes Motruk

Light-matter interacting systems involving multi-level atoms are appealing platforms for testing equilibrium and dynamical phenomena. Here, we explore a tricritical Dicke model, where an ensemble of three-level systems interacts with a…

Quantum Physics · Physics 2023-09-18 Diego Fallas Padilla , Han Pu

Motivated by experimental studies that have found signatures of a quantum spin liquid phase in organic crystals whose structure is well described by the two-dimensional triangular lattice, we study the Hubbard model on this lattice at half…

Strongly Correlated Electrons · Physics 2020-05-27 Aaron Szasz , Johannes Motruk , Michael P. Zaletel , Joel E. Moore

An earlier model for substrate strain mediated interactions between monomer adatoms is extended to the interaction of monomers with dimers and the interaction of dimers. While monomers (sitting on high symmetric sites) are supposed to…

Materials Science · Physics 2016-10-26 Wolfgang Kappus

We study the phase transition in a system composed of dimers interacting with each other via a nearest-neighbor (NN) exchange $J$ and competing interactions taken from a truncated dipolar coupling. Each dimer occupies a link between two…

Statistical Mechanics · Physics 2013-09-06 Danh-Tai Hoang , Hung T. Diep

We analyze the partition function of the dimer model on an $\mathcal{M} \times \mathcal{N}$ triangular lattice wrapped on torus obtained by Fendley, Moessner and Sondhi [Phys. Rev. B \textbf{66}, 214513 (2002)]. From a finite-size analysis…

Statistical Mechanics · Physics 2015-05-28 N. Sh. Izmailian , Ralph Kenna