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Monte Carlo calculations in the framework of lattice field theory provide non-perturbative access to the equilibrium physics of quantum fields. When applied to certain fermionic systems, or to the calculation of out-of-equilibrium physics,…

High Energy Physics - Lattice · Physics 2020-06-23 Scott Lawrence

The Heisenberg model on a triangular lattice is a prime example for a geometrically frustrated spin system. However most experimentally accessible compounds have spatially anisotropic exchange interactions. As a function of this anisotropy,…

Strongly Correlated Electrons · Physics 2014-05-05 Burkhard Schmidt , Peter Thalmeier

We report a Monte Carlo study of the classical antiferromagnetic Heisenberg model with easy axis anisotropy on the triangular lattice. Both the free energy cost for long wavelength spin waves as well as for the formation of free vortices…

Statistical Mechanics · Physics 2009-10-31 W. Stephan , B. W. Southern

We present results of extensive finite-temperature Quantum Monte Carlo simulations on a SU(2) symmetric S=1/2 quantum antiferromagnet with a four-spin interaction [Sandvik, Phys. Rev. Lett. 98, 227202 (2007)]. Our simulations, which are…

Strongly Correlated Electrons · Physics 2008-01-09 Roger G. Melko , Ribhu K. Kaul

We consider fermionic fully-packed loop and quantum dimer models which serve as effective low-energy models for strongly correlated fermions on a checkerboard lattice at half and quarter filling, respectively. We identify a large number of…

Strongly Correlated Electrons · Physics 2011-06-07 Frank Pollmann , Joseph J. Betouras , Kirill Shtengel , Peter Fulde

A Monte Carlo method for finite-temperature studies of the two-dimensional quantum Heisenberg antiferromagnet with random ferromagnetic bonds is presented. The scheme is based on an approximation which allows for an analytic summation over…

Condensed Matter · Physics 2009-10-22 A. Sandvik

We analyze a model of spinless fermions on a triangular lattice at half-filling interacting via strong nearest-neighbor repulsive interactions, V, using the variational Monte Carlo simulation technique. The existence of three-sublattice…

Strongly Correlated Electrons · Physics 2009-11-13 M. Miyazaki , C. Hotta , S. Miyahara , K. Matsuda , N. Furukawa

We study the anti-ferromagnetic six-state clock model with nearest neighbor interactions on a triangular lattice with extensive Monte-Carlo simulations. We find clear indications of two phase transitions at two different temperatures: Below…

Statistical Mechanics · Physics 2009-11-07 J. D. Noh , H. Rieger , M. Enderle , K. Knorr

Lattice Monte Carlo calculations of interacting systems on non-bipartite lattices exhibit an oscillatory imaginary phase known as the phase or sign problem, even at zero chemical potential. One method to alleviate the sign problem is to…

Strongly Correlated Electrons · Physics 2021-03-31 Jan-Lukas Wynen , Evan Berkowitz , Stefan Krieg , Thomas Luu , Johann Ostmeyer

We propose a class of variational wave functions, namely the correlated valence bond states, for the frustrated Hamiltonian in the paramagnetic phase. This class of wave functions admits negative amplitude and the same sub-lattice pairing…

Strongly Correlated Electrons · Physics 2014-10-07 Ling Wang

Monte Carlo methods have led to profound insights into the strong-coupling behaviour of lattice gauge theories and produced remarkable results such as first-principles computations of hadron masses. Despite tremendous progress over the last…

High Energy Physics - Lattice · Physics 2025-07-15 Anuj Apte , Anthony Ashmore , Clay Cordova , Tzu-Chen Huang

We presents the results of an extensive numerical study of the phase diagram of the spin-1/2, \protect{$J_1$-$J_2$-$J_3$} Heisenberg model on a square lattice, for both ferromagnetic and antiferromagnetic nearest-neighbor interactions…

Strongly Correlated Electrons · Physics 2015-05-13 Philippe Sindzingre , Nic Shannon , Tsutomu Momoi

Critical properties of the Ising model on a stacked triangular lattice, with antiferromagnetic first and second-neighbor in-plane interactions, are studied by extensive histogram Monte Carlo simulations. The results, in conjunction with the…

Condensed Matter · Physics 2009-10-22 M. L. Plumer , A. Mailhot , R. Ducharme , A. Caillé , H. T. Diep

Ab-initio Monte Carlo simulations of strongly-interacting fermionic systems are plagued by the fermion sign problem, making the non-perturbative study of many interesting regimes of dense quantum matter, or of theories of odd numbers of…

High Energy Physics - Lattice · Physics 2024-03-05 Debasish Banerjee , Emilie Huffman

The great majority of algorithms employed in the study of lattice field theory are based on Monte Carlo's importance sampling method, i.e. on probability interpretation of the Boltzmann weight. Unfortunately in many theories of interest one…

High Energy Physics - Lattice · Physics 2016-06-03 Lorenzo Bongiovanni

We present results for lattice QCD with staggered fermions in the limit of infinite gauge coupling, obtained from a worm-type Monte Carlo algorithm on a discrete spatial lattice but with continuous Euclidean time. This is achieved by…

High Energy Physics - Lattice · Physics 2011-11-08 Wolfgang Unger , Philippe de Forcrand

We study the onset of spin-density wave order in itinerant electron systems via a two-dimensional lattice model amenable to numerically exact, sign-problem-free determinantal quantum Monte Carlo simulations. The finite-temperature phase…

Superconductivity · Physics 2016-08-29 Yoni Schattner , Max H. Gerlach , Simon Trebst , Erez Berg

Frustrated quantum magnets pose well-defined questions concerning quantum fluctuation effects and the nature of the many-body wavefunction, which challenge theory, numerics, experiment and materials synthesis. The S = 1/2 triangular-lattice…

Strongly Correlated Electrons · Physics 2017-09-28 Y. Cui , J. Dai , P. Zhou , P. S. Wang , T. R. Li , W. H. Song , L. Ma , Z. Zhang , S. Y. Li , G. M. Luke , B. Normand , T. Xiang , W. Yu

We compute transport and thermodynamic properties of a two-band spin-fermion model describing itinerant fermions in two dimensions interacting via $Z_2$ antiferromagnetic quantum critical fluctuations by means of a sign-problem-free quantum…

Strongly Correlated Electrons · Physics 2023-11-14 Rafael M. P. Teixeira , Catherine Pépin , Hermann Freire

The 2D half-filled Kondo lattice model with exchange J and nearest neighbor hopping t is considered. It is shown that this model belongs to a class of Hamiltonians for which zero-temperature auxiliary field Monte Carlo methods may be…

Strongly Correlated Electrons · Physics 2009-10-31 F. F. Assaad