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We present a numerical study on an interacting monomer-dimer model with nearest neighbor repulsion on a square lattice, which possesses two symmetric absorbing states. The model is observed to exhibit two nearby continuous transitions: the…

Statistical Mechanics · Physics 2015-05-27 Keekwon Nam , Sangwoong Park , Bongsoo Kim , Sung Jong Lee

Monte Carlo simulations of the SU(2)-symmetric deconfined critical point action reveal strong violations of scale invariance for the deconfinement transition. We find compelling evidence that the generic runaway renormalization flow of the…

Statistical Mechanics · Physics 2008-05-29 A. B. Kuklov , M. Matsumoto , N. V. Prokof'ev , B. V. Svistunov , M. Troyer

Dangling edge spins of two-dimensional quantum critical antiferromagnets display strongly enhanced spin correlations with scaling dimensions that fall outside of the classical theory of surface critical phenomena. We provide large-scale…

Strongly Correlated Electrons · Physics 2021-01-20 Lukas Weber , Stefan Wessel

We demonstrate a variant of the Bond Fluctuation lattice Monte Carlo model in which moves through cis conformations are forbidden. Ring polymers in this model have a conserved quantity that amounts to a topological linking number. Increased…

Soft Condensed Matter · Physics 2009-10-31 Joseph S. Plewa , Thomas A. Witten

The critical behaviour of statistical models with long-range interactions exhibits distinct regimes as a function of $\rho$, the power of the interaction strength decay. For $\rho$ large enough, $\rho>\rho_{\rm sr}$, the critical behaviour…

Statistical Mechanics · Physics 2019-08-28 Fabiana Cescatti , Miguel Ibáñez-Berganza , Alessandro Vezzani , Raffaella Burioni

The planar Thirring model is thought to have a strongly coupled critical point for a single flavour of fermion. We look at the calculation of the bilinear condensate in this critical region, and its characterisation via an equation of…

High Energy Physics - Lattice · Physics 2025-02-21 Jude Worthy , Simon Hands

Bond-dilution effects on spin-1/2 spin-gapped Heisenberg antiferromagnets of coupled alternating chains on a square lattice are investigated by means of the quantum Monte Carlo method. It is found that, in contrast with the site-diluted…

Disordered Systems and Neural Networks · Physics 2009-11-07 Chitoshi Yasuda , Synge Todo , Munehisa Matsumoto , Hajime Takayama

We investigate the critical properties of the spin-3/2 Blume-Capel model in two dimensions on a random lattice with quenched connectivity disorder. The disordered system is simulated by applying the cluster hybrid Monte Carlo update…

Statistical Mechanics · Physics 2015-06-25 F. W. S. Lima , J. A. Plascak

Polymer models describing the statistics of biomolecules under confinement have applications to a wide range of single molecule experimental techniques and give insight into biologically relevant processes {\em{in vivo}}. In this paper, we…

Biological Physics · Physics 2023-09-18 Joel Gard , Greg Morrison

Spherical confinement can act either stabilizing or destabilizing on the collapsed state of a semi-flexible polymer. General free-energy arguments suggest that the order of the unconstrained collapse transition is the distinguishing factor:…

Soft Condensed Matter · Physics 2018-11-14 Martin Marenz , Johannes Zierenberg , Wolfhard Janke

The ground states of Klein type spin models on the pyrochlore and checkerboard lattice are spanned by the set of singlet dimer coverings, and thus possess an extensive ground--state degeneracy. Among the many exotic consequences is the…

Strongly Correlated Electrons · Physics 2015-06-25 Z. Nussinov , C. D. Batista , B. Normand , S. A. Trugman

The phase behavior of liquids confined in a slit geometry does not reveal a crossover from a three to a two-dimensional behavior as the gap size decreases. Indeed, the prototypical two-dimensional hexatic phase only occurs in liquids…

Soft Condensed Matter · Physics 2021-07-27 Jing Yang , Yan-Wei Li , Massimo Pica Ciamarra

We study the static properties of a semiflexible polymer exposed to a quenched random environment by means of computer simulations. The polymer is modeled as two-dimensional Heisenberg chain. For the random environment we consider hard…

Soft Condensed Matter · Physics 2012-11-20 Sebastian Schoebl , Johannes Zierenberg , Wolfhard Janke

We present a numerical study of 2D random-bond Potts ferromagnets. The model is studied both below and above the critical value $Q_c=4$ which discriminates between second and first-order transitions in the pure system. Two geometries are…

Statistical Mechanics · Physics 2009-10-31 Christophe Chatelain , Bertrand Berche

The antiferromagnetic to valence-bond-solid phase transition in the two-dimensional J-Q model (an S=1/2 Heisenberg model with four-spin interactions) is studied using large-scale quantum Monte Carlo simulations. The results support a…

Strongly Correlated Electrons · Physics 2010-04-30 Anders W. Sandvik

The unbinding of vortex-antivortex pairs for the classical two-dimensional XY model in a magnetic field is studied. A single such pair is connected by a string of overturned spins, leading to linear confinement. We show that this system…

Statistical Mechanics · Physics 2009-11-07 H. A. Fertig

The correlation of gaps in dimer systems was introduced in 1963 by Fisher and Stephenson, who looked at the interaction of two monomers generated by the rigid exclusion of dimers on the closely packed square lattice. In previous work we…

Combinatorics · Mathematics 2012-02-07 Mihai Ciucu

Ground state and finite temperature properties of a system of coupled frustrated and/or dimerized spin-1/2 chains modeling e.g. the CuGeO$_3$ compound are reviewed. Special emphasis is put on the investigation of the role of impurity…

Strongly Correlated Electrons · Physics 2015-06-25 Nicolas Laflorencie , Didier Poilblanc

Deconfined quantum criticality with emergent SO(5) symmetry in correlated systems remains elusive. Here, by performing numerically-exact state-of-the-art quantum Monte Carlo (QMC) simulations, we show convincing evidences of deconfined…

Strongly Correlated Electrons · Physics 2019-04-26 Zi-Xiang Li , Shao-Kai Jian , Hong Yao

This article investigates the effect for random pinning models of long range power-law decaying correlations in the environment. For a particular type of environment based on a renewal construction, we are able to sharply describe the phase…

Probability · Mathematics 2025-08-15 Quentin Berger , Hubert Lacoin