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We consider polymers made of magnetic monomers (Ising or Heisenberg-like) in a good solvent. These polymers are modeled as self-avoiding walks on a cubic lattice, and the ferromagnetic interaction between the spins carried by the monomers…

Statistical Mechanics · Physics 2009-10-31 T. Garel , H. Orland , E. Orlandini

The thermal phase transitions of a spin-1/2 Ising-Heisenberg model on the diamond-decorated square lattice in a magnetic field are investigated using a decoration-iteration transformation and classical Monte Carlo simulations. A generalized…

Statistical Mechanics · Physics 2023-04-18 Jozef Strecka , Katarina Karlova , Taras Verkholyak , Nils Caci , Stefan Wessel , Andreas Honecker

The critical point of the condensation transition for linear molecules adsorbed on square lattices, was studied by using an adaptation of the Histogram Reweighting technique. The results were obtained by means of grand canonical Monte Carlo…

Statistical Mechanics · Physics 2017-03-29 G. J. dos Santos , D. H. Linares , A. J. Ramirez-Pastor

Repulsively interacting particles in a periodic potential can form bound composite objects, whose dissociation is suppressed by a band gap. Nearly pure samples of such repulsively bound pairs of cold atoms -- "dimers" -- have recently been…

Other Condensed Matter · Physics 2008-03-31 David Petrosyan , Bernd Schmidt , James R. Anglin , Michael Fleischhauer

We introduce a quantum dimer model on the hexagonal lattice that, in addition to the standard three-dimer kinetic and potential terms, includes a competing potential part counting dimer-free hexagons. The zero-temperature phase diagram is…

Strongly Correlated Electrons · Physics 2015-11-24 T. M. Schlittler , T. Barthel , G. Misguich , J. Vidal , R. Mosseri

We study the phase transition of thin films in the three-dimensional XY universality class. To this end, we perform a Monte Carlo study of the improved two-component \phi^4 model, the improved dynamically diluted XY model and the standard…

Statistical Mechanics · Physics 2009-11-13 Martin Hasenbusch

Spin dimer systems are a promising playground for the detailed study of quantum phase transitions. Using the magnetic field as the tuning parameter it is in principle possible to observe a crossover from the characteristic scaling near…

Strongly Correlated Electrons · Physics 2015-04-13 Dominik Strassel , Peter Kopietz , Sebastian Eggert

Recently, Xavier et al. claimed the existence of an insulating spin dimer state in the one-dimensional Kondo lattice model at quarter-filling amidst the paramagnetic metallic phase. In this comment we show that the dimer-dimer correlation…

Strongly Correlated Electrons · Physics 2007-05-23 Naokazu Shibata , Chisa Hotta

We study the behaviour of the Binder cumulant on finite square lattices at the Kosterlitz-Thouless phase transition. We determine the fixed point value of the Binder cumulant and the coefficient of the leading logarithmic correction. These…

Statistical Mechanics · Physics 2009-11-13 Martin Hasenbusch

A mean-field monomer-dimer model which includes an attractive interaction among both monomers and dimers is introduced and its exact solution rigorously derived. The Heilmann-Lieb method for the pure hard-core interacting case is used to…

Mathematical Physics · Physics 2015-06-18 Diego Alberici , Pierluigi Contucci , Emanuele Mingione

Quantum dimer models are known to host topological quantum spin liquid phases, and it has recently become possible to simulate such models with Rydberg atoms trapped in arrays of optical tweezers. Here, we present large-scale quantum Monte…

Strongly Correlated Electrons · Physics 2022-11-08 Zheng Yan , Rhine Samajdar , Yan-Cheng Wang , Subir Sachdev , Zi Yang Meng

The competition between long-range and short-range interactions among holes moving in an antiferromagnet (AF), is studied within a model derived from the spin density wave picture of layered transition metal oxides. A novel numerical…

We consider the interaction-round-a-face version of the six-vertex model for arbitrary anisotropy parameter, which allow us to derive an integrable one-dimensional quantum Hamiltonian with three-spin interactions. We apply the quantum…

Mathematical Physics · Physics 2023-09-07 T. S. Tavares , G. A. P. Ribeiro

Exact analyses are given for two three-dimensional lattice systems: A system of close-packed dimers placed in layers of honeycomb lattices and a layered triangular-lattice interacting domain wall model, both with nontrivial interlayer…

Statistical Mechanics · Physics 2009-10-30 V. Popkov , Doochul Kim , H. Y. Huang , F. Y. Wu

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

We investigate thermodynamic properties of a one-dimensional S=1/2 antiferromagnetic Heisenberg model coupled to a lattice distortion by a quantum Monte Carlo method. In particular we study how spin and lattice dimerize as a function of the…

Statistical Mechanics · Physics 2009-10-31 Hiroaki Onishi , Seiji Miyashita

We study numerically a lattice model of semiflexible homopolymers with nearest neighbor attraction and energetic preference for straight joints between bonded monomers. For this we use a new algorithm, the "Pruned-Enriched Rosenbluth…

Statistical Mechanics · Physics 2009-10-30 Ugo Bastolla , Peter Grassberger

Three phases of macroscopic domains have been seen for large but finite periodic dimer models; these are known as the frozen, rough and smooth phases. The transition region between the frozen and rough region has received a lot of attention…

Mathematical Physics · Physics 2022-02-02 Kurt Johansson , Scott Mason

We consider the extended Hubbard diamond chain with an arbitrary number of particles driven by chemical potential. The interaction between dimer diamond chain and nodal couplings is considered in the atomic limit (no hopping), while the…

Statistical Mechanics · Physics 2021-04-21 Onofre Rojas , Jordana Torrico , L. M. Veríssimo , M. S. S. Pereira , S. M. de Souza , M. L. Lyra

Using a Monte Carlo method, we study the finite-temperature phase transition in the two-dimensional classical Heisenberg model on a triangular lattice with or without easy-plane anisotropy. The model takes account of competing interactions:…

Statistical Mechanics · Physics 2015-03-19 Ryo Tamura , Naoki Kawashima
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