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In multitype lattice gas models with hard-core interaction of Widom--Rowlinson type, there is a competition between the entropy due to the large number of types, and the positional energy and geometry resulting from the exclusion rule and…

Probability · Mathematics 2010-03-16 H. -O. Georgii , V. Zagrebnov

Within the framework of a mean-field approach the Mott-Hubbard phase transition is considered in the Hubbard and Falicov-Kimball models for half-filled occupation. It is shown that a static Z_2-field forms an insulator state on the lattice…

Strongly Correlated Electrons · Physics 2022-05-25 Igor N. Karnaukhov

The phase diagrams and the nature of the phase transitions in multicomponent gauge theories with an Abelian gauge field are important topics with various physical applications. While an early renormalization-group-based study indicated that…

Strongly Correlated Electrons · Physics 2024-08-07 Daniel Weston , Karl Sellin , Egor Babaev

The mobility edge (ME) that marks the energy separating extended and localized states is a central concept in understanding the metal-insulator transition induced by disordered or quasiperiodic potentials. MEs have been extensively studied…

Disordered Systems and Neural Networks · Physics 2023-04-25 Yucheng Wang , Long Zhang , Yuhao Wan , Yu He , Yongjian Wang

It is widely believed that the phase transition for the four-state ferromagnetic Potts model on the square lattice is of the pseudo-first order. Specifically, it is expected that first-order phase transition behavior is found on small…

Statistical Mechanics · Physics 2022-12-26 Jhao-Hong Peng , Fu-Jiun Jiang

We study a unitary time evolution of a symmetry-broken state in a form of a charge density wave in a finite system of interacting hard-core bosons, which can be mapped onto the XXZ Heisenberg chain. Moreover, we introduce a…

Quantum Gases · Physics 2021-07-09 Patrycja Łydżba , Janez Bonča

In this paper we generalized the slave-particle technique to study the phase diagram of the Hubbard model on honeycomb lattice which may contain charge fluctuations. For large $U$, we have antiferromagnetic order phase. As we decrease $U$…

Strongly Correlated Electrons · Physics 2010-10-28 Abolhassan Vaezi , Xiao-Gang Wen

In the absence of magnetic field or spin-orbit coupling the one-parameter scaling theory predicts localization of all states in two-dimensional (2D) disordered systems, for any amount of disorder. However, a 2D metallic phase has been…

Disordered Systems and Neural Networks · Physics 2016-04-20 Shie-Jie Xiong , G. N. Katomeris , S. N. Evangelou

We investigate the addition of stiffness to the lattice model of hydrogen-bonded polymers in two and three dimensions. We find that, in contrast to polymers that interact via a homogeneous short-range interaction, the collapse transition is…

Soft Condensed Matter · Physics 2009-11-13 J Krawczyk , AL Owczarek , T Prellberg

The critical behavior of self-assembled rigid rods on a square lattice was recently reinvestigated by Almarza et al. [Phys. Rev. E 82, 061117 (2010)]. Based on the Binder cumulants and the value of the critical exponent of the correlation…

Statistical Mechanics · Physics 2012-05-15 L. G. López , D. H. Linares , A. J. Ramirez-Pastor

A system of hard spheres exhibits physics that is controlled only by their density. This comes about because the interaction energy is either infinite or zero, so all allowed configurations have exactly the same energy. The low density…

Statistical Mechanics · Physics 2021-07-02 Grace M. Sommers , Benedikt Placke , Roderich Moessner , S. L. Sondhi

We review recent progress in understanding the full phase diagram of a one-dimensional, driven, two-species lattice model [Lahiri and Ramaswamy, PRL 79 (1997) 1150] in which the mobility of each species depends on the density of the other.…

Statistical Mechanics · Physics 2007-05-23 Sriram Ramaswamy , Mustansir Barma , Dibyendu Das , Abhik Basu

Using a minimal algebraic model for the thermodynamics of binary rod--polymer mixtures, we provide evidence for a quintuple phase equilibrium; an observation that seems to be at odds with the Gibbs phase rule for two-component systems. Our…

Soft Condensed Matter · Physics 2020-09-21 V. F. D. Peters , M. Vis , Á. González García , H. H. Wensink , R. Tuinier

We study the $q$-state clock models on heptagonal lattices assigned on a negatively curved surface. We show that the system exhibits three classes of equilibrium phases; in between ordered and disordered phases, an intermediate phase…

Statistical Mechanics · Physics 2009-07-26 Seung Ki Baek , Petter Minnhagen , Hiroyuki Shima , Beom Jun Kim

The successful emulation of the Hubbard model in optical lattices has stimulated world wide efforts to extend their scope to also capture more complex, incompletely understood scenarios of many-body physics. Unfortunately, for bosons,…

Quantum Gases · Physics 2011-01-19 Georg Wirth , Matthias Ölschläger , Andreas Hemmerich

We theoretically study the nematic ordering transition of rods that are able to elastically adjust their mutually excluded volumes. The model rods, which consist of a hard core surrounded by a deformable shell, mimic the structure of…

Soft Condensed Matter · Physics 2009-11-11 K. Shundyak , R. van Roij , P. van der Schoot

Stripe phases, in which the rotational symmetry of charge density is spontaneously broken, occur in many strongly correlated systems with competing interactions. One representative example is the copper-oxide superconductors, where stripe…

Mesoscale and Nanoscale Physics · Physics 2021-07-21 Chenhao Jin , Zui Tao , Tingxin Li , Yang Xu , Yanhao Tang , Jiacheng Zhu , Song Liu , Kenji Watanabe , Takashi Taniguchi , James C. Hone , Liang Fu , Jie Shan , Kin Fai Mak

We study the phase behaviour of the Zwanzig model of suspensions of hard rods, allowing for polydispersity in the lengths of the rods. In spite of the simplified nature of the model (rods are restricted to lie along one of three orthogonal…

Soft Condensed Matter · Physics 2007-05-23 Nigel Clarke , Jose A Cuesta , Richard Sear , Peter Sollich , Alessandro Speranza

Discrete time crystals are periodically driven systems characterized by a response with periodicity $nT$, with $T$ the period of the drive and $n>1$. Typically, $n$ is an integer and bounded from above by the dimension of the local (or…

Other Condensed Matter · Physics 2021-04-27 Andrea Pizzi , Johannes Knolle , Andreas Nunnenkamp

We prove that the 3-state Potts antiferromagnet on the diced lattice (dual of the kagome lattice) has entropically-driven long-range order at low temperatures (including zero). We then present Monte Carlo simulations, using a cluster…

Statistical Mechanics · Physics 2009-04-20 Roman Kotecky , Jesus Salas , Alan D. Sokal