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We study the attractive fermionic Hubbard model on a honeycomb lattice using determinantal quantum Monte Carlo simulations. By increasing the interaction strength U (relative to the hopping parameter t) at half-filling and zero temperature,…

Quantum Gases · Physics 2009-12-24 K. L. Lee , K. Bouadim , G. G. Batrouni , F. Hebert , R. T. Scalettar , C. Miniatura , B. Gremaud

It is shown that the semimetallic state of the two-dimensional honeycomb lattice with a point-like Fermi surface is unstable towards a canted antiferromagnetic insulator upon application of an in-plane magnetic field. This instability is…

Strongly Correlated Electrons · Physics 2009-07-16 M. Bercx , T. C. Lang , F. F. Assaad

Metallic quantum criticality is among the central theme in the understanding of correlated electronic systems, and converging results between analytical and numerical approaches are still under calling. In this work, we develop state-of-art…

Strongly Correlated Electrons · Physics 2019-08-13 Zi Hong Liu , Gaopei Pan , Xiao Yan Xu , Kai Sun , Zi Yang Meng

We study crystal melting in two-dimensional antiferromagnets, by analyzing the statistical mechanics of the six-state clock model on a lattice in which defects (dislocations and disclinations) are allowed to appear. We show that the…

Statistical Mechanics · Physics 2018-01-26 Itamar Shamai , Daniel Podolsky

The scaling of the transition temperature into an ordered phase close to a quantum critical point as well as the order parameter fluctuations inside the quantum critical region provide valuable information about universal properties of the…

Strongly Correlated Electrons · Physics 2016-04-29 Stephan Hesselmann , Stefan Wessel

In the coevolving voter model, each voter has one of two diametrically opposite opinions, and a voter encountering a neighbor with the opposite opinion may either adopt it or rewire the connection to another randomly chosen voter sharing…

Physics and Society · Physics 2013-01-22 Su Do Yi , Seung Ki Baek , Chen-Ping Zhu , Beom Jun Kim

We investigate a bilayer honeycomb lattice model of spin-1/2 fermions at half-filling with local Heisenberg coupling of fermion spins across the two layers. Using variational Monte Carlo (VMC) simulation, we demonstrate that the system…

Strongly Correlated Electrons · Physics 2023-09-01 Wanda Hou , Yi-Zhuang You

The antiferromagnetic Ising model in a magnetic field is considered on the Husimi tree. Using iteration technique we draw the plots of magnetization versus external field for different temperatures and construct the resulting phase diagram.…

Condensed Matter · Physics 2009-10-30 A. Z. Akheyan , N. S. Ananikian , S. K. Dallakian

Using combinatorial optimisation techniques we study the critical properties of the two- and the three-dimensional Ising model with uniformly distributed random antiferromagnetic couplings $(1 \le J_i \le 2)$ in the presence of a…

Disordered Systems and Neural Networks · Physics 2022-06-08 Jean-Christian Anglès d'Auriac , Ferenc Iglói

Motivated by the properties of the iron chalcogenides, we study the phase diagram of a generalized Heisenberg model with frustrated bilinear-biquadratic interactions on a square lattice. We identify zero-temperature phases with…

Strongly Correlated Electrons · Physics 2015-09-10 Rong Yu , Qimiao Si

Critical and in the highly frustrated regime also dynamical properties of the $J_1-J_2$ Ising model with competing nearest-neighbor $J_1$ and second-nearest-neighbor $J_2$ interactions on a honeycomb lattice are investigated by standard…

Statistical Mechanics · Physics 2021-12-14 M. Žukovič

We study ground-state properties and phase diagram of the $J_{1}$-$J_{2}$ antiferromagnetic XY model on the honeycomb lattice by means of the developed corner transfer matrix renormalization group algorithm with the two-site unit cell and…

Strongly Correlated Electrons · Physics 2026-05-20 I. V. Lukin , M. O. Luhanko , Yu. V. Slyusarenko , A. G. Sotnikov

Using a newly developed quantum Monte Carlo technique, we provide strong evidence for the stability of a saturated ferromagnetic phase in the high-density regime of the two-dimensional infinite-U Hubbard model. By decreasing the electron…

Strongly Correlated Electrons · Physics 2011-02-28 Giuseppe Carleo , Saverio Moroni , Federico Becca , Stefano Baroni

By using the Wang-Landau flat-histogram Monte Carlo (MC) method for very large lattice sizes never simulated before, we show that the phase transition in the frustrated Heisenberg stacked triangular antiferromagnet is of first-order,…

Statistical Mechanics · Physics 2008-08-06 V. Thanh Ngo , H. T. Diep

The semimetal to antiferromagnet quantum phase transition of the Hubbard model on the honeycomb lattice has come to the forefront in the context of the proposal that a semimetal to spin liquid transition can occur before the transition to…

Strongly Correlated Electrons · Physics 2015-08-11 S. Arya , P. V. Sriluckshmy , S. R. Hassan , A. -M. S. Tremblay

Quantum Monte Carlo simulations are used to study the magnetic and transport properties of the Hubbard Model, and its strong coupling Heisenberg limit, on a one-third depleted square lattice. This is the geometry occupied, after charge…

Strongly Correlated Electrons · Physics 2017-01-25 H. -M. Guo , T. Mendes-Santos , W. E. Pickett , R. T. Scalettar

Using a cluster extension of the dynamical mean-field theory (CDMFT) we map out the magnetic phase diagram of the anisotropic square lattice Hubbard model with nearest-neighbor intrachain $t$ and interchain $t_{\perp}$ hopping amplitudes at…

Strongly Correlated Electrons · Physics 2021-03-19 Marcin Raczkowski , Fakher F. Assaad , Masatoshi Imada

Using the density-matrix renormalization group, we determine the phase diagram of the spin 1/2 Heisenberg antiferromagnet on a honeycomb lattice with a nearest neighbor interaction J1 and a frustrating, next-neighbor exchange J2. As…

Strongly Correlated Electrons · Physics 2013-05-14 R. Ganesh , Jeroen van den Brink , Satoshi Nishimoto

One of the most active areas of physics in the last decades has been that of critical phenomena, and Monte Carlo simulations have played an important role as a guide for the validation and prediction of system properties close to the…

Biological Physics · Physics 2007-05-23 Maria del Pilar Monsivais-Alonso

The Feigenbaum constants $\alpha$ and $\delta$ for the three-site antiferromagnetic Ising spin model on Husimi tree are calculated. It is shown that the numerical values of these constants for this real physical system coincide with the…

High Energy Physics - Theory · Physics 2008-02-03 N. S. Ananikian , R. R. Lusiniants , K. A. Oganessyan