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We investigate ground state and finite temperature properties of the half-filled Hubbard model on a honeycomb lattice using quantum monte carlo and series expansion techniques. Unlike the square lattice, for which magnetic order exists at…

Strongly Correlated Electrons · Physics 2009-11-10 Thereza Paiva , R. T. Scalettar , W. Zheng , R. R. P. Singh , J. Oitmaa

We explore the phase diagram of two-component bosons with Feshbach resonant pairing interactions in an optical lattice. It has been shown in previous work to exhibit a rich variety of phases and phase transitions, including a paradigmatic…

Strongly Correlated Electrons · Physics 2010-07-30 M. Hohenadler , A. O. Silver , M. J. Bhaseen , B. D. Simons

The Ising model is studied on a series of hyperbolic two-dimensional lattices which are formed by tessellation of triangles on negatively curved surfaces. In order to treat the hyperbolic lattices, we propose a generalization of the corner…

Statistical Mechanics · Physics 2012-08-13 Andrej Gendiar , Roman Krcmar , Sabine Andergassen , Michal Daniska , Tomotoshi Nishino

We investigate an antiferromagnetic triangular Ising model with anisotropic ferromagnetic interactions between next-nearest neighbours, originally proposed by Kitatani and Oguchi (J. Phys. Soc. Japan {\bf 57}, 1344 (1988)). The phase…

Condensed Matter · Physics 2009-10-28 S. L. A. de Queiroz , Eytan Domany

We present numerical evidence for the presence of a finite-temperature ($T$) phase transition separating paramagnet and quantum spin liquid in a three-dimensional variant of the Kitaev model defined on a hyperhoneycomb lattice in the limit…

Strongly Correlated Electrons · Physics 2015-06-17 J. Nasu , T. Kaji , K. Matsuura , M. Udagawa , Y. Motome

We revisit the two-dimensional quantum Ising model by computing renormalization group flows close to its quantum critical point. The low but finite temperature regime in the vicinity of the quantum critical point is squashed between two…

Statistical Mechanics · Physics 2014-11-20 P. Strack , P. Jakubczyk

The Berezinskii-Kosterlitz-Thouless (BKT) transition is a typical topological phase transition defined between binding and unbinding states of vortices and antivortices, which is not accompanied by spontaneous symmetry breaking. It is known…

Statistical Mechanics · Physics 2025-02-14 Masahito Mochizuki , Yusuke Miyajima

The Ising model on an alternating triangular lattice with the nearest-neighbor interaction in a magnetic field is presented. Exact solution of this model is found. The thermodynamic quantities, like free energy, specific heat a finite…

Statistical Mechanics · Physics 2014-10-08 Elías Ríos

Order-disorder phase transition of the ferromagnetic Ising model is investigated on a series of two-dimensional lattices that have negative Gaussian curvatures. Exceptional lattice sites of coordination number seven are distributed on the…

Statistical Mechanics · Physics 2015-01-08 Andrej Gendiar , Michal Daniska , Roman Krcmar , Tomotoshi Nishino

We investigate the Hubbard model on the anisotropic triangular lattice as a suggested effective description of the Mott phase in various triangular organic compounds. Employing the variational cluster approximation and the ladder…

Strongly Correlated Electrons · Physics 2015-10-13 Manuel Laubach , Ronny Thomale , Christian Platt , Werner Hanke , Gang Li

We investigate the low-energy properties as well as quantum and thermal phase transitions of the Baxter-Wu model in a transverse magnetic field. Our study relies on stochastic series expansion quantum Monte Carlo and on series expansions…

Strongly Correlated Electrons · Physics 2014-07-09 Sylvain Capponi , Saeed S. Jahromi , Fabien Alet , Kai Phillip Schmidt

We investigated the critical behavior of the Ising model in a triangular lattice with ferro and anti-ferromagnetic interactions modulated by the Fibonacci sequence, by using finite-size numerical simulations. Specifically, we used a replica…

Disordered Systems and Neural Networks · Physics 2018-05-16 T. F. A. Alves , G. A. Alves , M. S. Vasconcelos

We simulate a trapped quasi-two-dimensional Bose gas using a classical field method. To interpret our results we identify the uniform Berezinskii-Kosterlitz-Thouless (BKT) temperature $T_{BKT}$ as where the system phase space density…

Other Condensed Matter · Physics 2011-08-31 R. N. Bisset , M. J. Davis , T. P. Simula , P. B. Blakie

We study the two-dimensional kinetic Ising model below its equilibrium critical temperature, subject to a square-wave oscillating external field. We focus on the multi-droplet regime where the metastable phase decays through nucleation and…

Statistical Mechanics · Physics 2009-10-31 G. Korniss , C. J. White , P. A. Rikvold , M. A. Novotny

We demonstrate that a machine learning technique with a simple feedforward neural network can sensitively detect two successive phase transitions associated with the Berezinskii-Kosterlitz-Thouless (BKT) phase in q-state clock models…

Statistical Mechanics · Physics 2021-08-13 Yusuke Miyajima , Yusuke Murata , Yasuhiro Tanaka , Masahito Mochizuki

In a previous paper [Weiguo Yin, Phys. Rev. Res. 6, 013331 (2024)], the forbidden spontaneous phase transition in the one-dimensional Ising model was found to be approachable arbitrarily closely in decorated ladders by ultranarrow phase…

Statistical Mechanics · Physics 2024-06-12 Weiguo Yin

We investigate the complex-temperature singularities of the susceptibility of the 2D Ising model on a square lattice. From an analysis of low-temperature series expansions, we find evidence that as one approaches the point $u=u_s=-1$ (where…

High Energy Physics - Lattice · Physics 2009-10-22 V. Matveev , R. Shrock

We obtain the rich phase diagrams in the Hubbard model on the triangular Kagom\'e lattice as a function of interaction, temperature and asymmetry, by combining the cellular dynamical mean-field theory with the continuous time quantum Monte…

Strongly Correlated Electrons · Physics 2015-06-03 Yao-Hua Chen , Hong-Shuai Tao , Dao-Xin Yao , Wu-Ming Liu

By means of quantum Monte Carlo simulations implemented with a two-loop update scheme, the finite-temperature phase diagram of a three-body constrained attractive Bose lattice gas is investigated. The nature of the thermal phase transitions…

Quantum Gases · Physics 2011-03-24 Kwai-Kong Ng , Min-Fong Yang

The phase diagram of the random field Ising model on the Bethe lattice with a symmetric dichotomous random field is closely investigated with respect to the transition between the ferromagnetic and paramagnetic regime. Refining arguments of…

Disordered Systems and Neural Networks · Physics 2009-11-07 Thomas Nowotny , Heiko Patzlaff , Ulrich Behn