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We explore the critical behaviour of two and three dimensional lattice models of polymers in dilute solution where the monomers carry a magnetic moment which interacts ferromagnetically with near-neighbour monomers. Specifically, the model…

Statistical Mechanics · Physics 2021-08-25 Damien Paul Foster , Debjyoti Majumdar

We study the phase diagram and critical behavior of a one dimensional three species monomer-monomer surface reaction model. Static Monte Carlo simulations show a phase diagram consisting of a reactive steady state bordered by three…

Statistical Mechanics · Physics 2009-10-28 Kevin E. Bassler , Dana A. Browne

The ordering of charges on half-filled hypercubic lattices is investigated numerically, where electroneutrality is ensured by background charges. This system is equivalent to the $s = 1/2$ Ising lattice model with antiferromagnetic $1/r$…

Statistical Mechanics · Physics 2009-06-03 A. Mobius , U. K. Roessler

We investigated a time-varying cosmological constant model using recent BAO measurements from DESI DR2, combined with Type Ia supernova samples (Pantheon$^{+}$, DES-Dovekie, and Union3) and CMB shift parameters, to constrain the…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Himanshu Chaudhary , Ratul Mandal , Masroor Bashir , Vipin Kumar Sharma , Ujjal Debnath

We study phases and transitions of the square-lattice double dimer model, consisting of two coupled replicas of the classical dimer model. As on the cubic lattice, we find a thermal phase transition from the Coulomb phase, a disordered but…

Statistical Mechanics · Physics 2020-11-23 Neil Wilkins , Stephen Powell

We study a three species monomer-monomer catalytic surface reaction model with a reactive steady state bordered by three equivalent unreactive phases where the surface is saturated with one species. The transition from the reactive to a…

Condensed Matter · Physics 2009-10-28 K. E. Bassler , D. A. Browne

Theory of classical critical phenomena of Mott transition is developed for the dimensionality $d \le \infty$. Reconsidering a cluster dynamical mean-field theory (DMFT), Ginzburg-Landau free energy is derived in terms of hybridization…

Strongly Correlated Electrons · Physics 2007-05-23 Shigeki Onoda

We study the quantum criticality of the phase transition between the Dirac semimetal and the excitonic insulator in two dimensions. Even though the system has a semimetallic ground state, there are observable effects of excitonic pairing at…

Strongly Correlated Electrons · Physics 2018-10-03 Xiao-Yin Pan , Jing-Rong Wang , Guo-Zhu Liu

The S=1/2 Heisenberg model is considered on bilayer and single-layer square lattices with couplings J1, J2, and with each spin belonging to one J2-coupled dimer. A transition from a Neel to disordered ground state occurs at a critical value…

Strongly Correlated Electrons · Physics 2007-07-28 Anders W. Sandvik

Topological quantum phase transitions intrinsically intertwine self-similarity and topology of many-electron wave-functions, and divining them is one of the most significant ways to advance understanding in condensed matter physics. Our…

Strongly Correlated Electrons · Physics 2016-01-27 Gil Young Cho , Eun-Gook Moon

We investigate the zero-temperature superfluid to insulator transitions in a diluted two-dimensional quantum rotor model with particle-hole symmetry. We map the Hamiltonian onto a classical $(2+1)$-dimensional XY model with columnar…

Quantum Gases · Physics 2016-10-04 Thomas Vojta , Jack Crewse , Martin Puschmann , Daniel Arovas , Yury Kiselev

We consider the problem of the superconductor-insulator transition in the presence of disorder, assuming that the fermionic degrees of freedom can be ignored so that the problem reduces to one of Cooper pair localization. Weak disorder…

Strongly Correlated Electrons · Physics 2009-11-07 Claudio Chamon , Chetan Nayak

The classical cubic dimer model has a columnar ordering transition that is continuous and described by a critical Anderson--Higgs theory containing an SU(2)-symmetric complex field minimally coupled to a noncompact U(1) gauge theory.…

Statistical Mechanics · Physics 2015-11-20 G J Sreejith , Stephen Powell

Motivated by the physics of spin-orbital liquids, we study a model of interacting Dirac fermions on a bilayer honeycomb lattice at half filling, featuring an explicit global SO(3)$\times$U(1) symmetry. Using large-scale auxiliary-field…

Strongly Correlated Electrons · Physics 2022-02-25 Zi Hong Liu , Matthias Vojta , Fakher F. Assaad , Lukas Janssen

We study the dynamic scaling behavior of 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…

Condensed Matter · Physics 2009-10-28 Heungwon Park , Mann Ho Kim , Hyunggyu Park

Using the monomer-dimer representation of strongly coupled U(N) lattice gauge theories with staggered fermions, we study finite temperature chiral phase transitions in (2+1) dimensions. A new cluster algorithm allows us to compute…

High Energy Physics - Lattice · Physics 2009-11-10 Shailesh Chandrasekharan , Costas G. Strouthos

Deconfined quantum critical point (DQCP) characterizes the continuous transition beyond Landau-Ginzburg-Wilson paradigm, occurring between two phases that exhibit distinct symmetry breaking. The debate over whether genuine DQCP exists in…

Strongly Correlated Electrons · Physics 2025-11-06 Xuan Zou , Shuai Yin , Zi-Xiang Li , Hong Yao

Monte Carlo simulations and finite-size scaling theory have been used to study the critical behavior of repulsive dimers on square lattices at 2/3 monolayer coverage. A "zig-zag" (ZZ) ordered phase, characterized by domains of parallel ZZ…

Statistical Mechanics · Physics 2008-04-09 F. Roma , J. L. Riccardo , A. J. Ramirez-Pastor

We consider a classical interacting dimer model which interpolates between the square lattice case and the triangular lattice case by tuning a chemical potential in the diagonal bonds. The interaction energy simply corresponds to the number…

Statistical Mechanics · Physics 2007-12-20 F. Trousselet , P. Pujol , F. Alet , D. Poilblanc

The Mott metal-insulator transition in the two-band Hubbard model in infinite dimensions is studied by using the linearized dynamical mean-field theory. The discontinuity in the chemical potential for the change from hole to electron doping…

Strongly Correlated Electrons · Physics 2009-11-07 Y. Ohashi , Y. Ono