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We present Monte Carlo simulation results for the three dimensional Thirring model on moderate sized lattices using a hybrid molecular dynamics algorithm which permits an odd or non-integer number Nf of fermion flavors. We find a continuous…

High Energy Physics - Lattice · Physics 2009-10-31 Simon Hands , Biagio Lucini

We study a quantum phase transition of electrons on a two-dimensional square lattice. Our lattice model preserves the full $\mathrm{O}(4)$ symmetry of free spin-$\frac{1}{2}$ Dirac fermions on a bipartite lattice. In particular, it not only…

High Energy Physics - Lattice · Physics 2021-11-04 Hanqing Liu

We study the classical cubic-lattice double dimer model, consisting of two coupled replicas of the close-packed dimer model, using a combination of theoretical arguments and Monte Carlo simulations. Our results establish the presence of a…

Statistical Mechanics · Physics 2019-04-04 Neil Wilkins , Stephen Powell

The phase diagram of non-compact lattice QED in four dimensions with staggered fermions of charges 1 and $-1/2$ is investigated. The renormalized charges are determined and found to be in agreement with perturbation theory. This is an…

High Energy Physics - Lattice · Physics 2009-10-28 A. Ali Khan

The 2d gauge theory on the lattice is equivalent to the twisted Eguchi-Kawai model, which we simulated at N ranging from 25 to 515. We observe a clear large N scaling for the 1- and 2-point function of Wilson loops, as well as the 2-point…

High Energy Physics - Theory · Physics 2009-11-10 F. Hofheinz

A model of two-leg spin-S ladder with two additional frustrating diagonal exchange couplings J_{D}, J_{D}' is studied within the framework of the nonlinear sigma model approach. The phase diagram has a rich structure and contains 2S gapless…

Strongly Correlated Electrons · Physics 2009-10-31 C. -M. Nedelcu , A. K. Kolezhuk , H. -J. Mikeska

The phase diagram of the two-channel Kondo lattice model is examined with a Quantum Monte Carlo simulation in the limit of infinite dimensions. Commensurate (and incommensurate) antiferromagnetic and superconducting states are found. The…

Condensed Matter · Physics 2009-10-28 Mark Jarrell , Hanbin Pang , D. L. Cox

We explore the ground-state physics of two-dimensional spin-$1/2$ $U(1)$ quantum link models, one of the simplest non-trivial lattice gauge theories with fermionic matter within experimental reach for quantum simulations. Whereas in the…

Quantum Gases · Physics 2020-04-01 Lorenzo Cardarelli , Sebastian Greschner , Luis Santos

The Hamiltonian dynamics of the classical $\phi^4$ model on a two-dimensional square lattice is investigated by means of numerical simulations. The macroscopic observables are computed as time averages. The results clearly reveal the…

Statistical Mechanics · Physics 2008-11-26 Lando Caiani , Lapo Casetti , Marco Pettini

We prove two Lieb-Schultz-Mattis type theorems that apply to any translationally invariant and local fermionic $d$-dimensional lattice Hamiltonian for which fermion-number conservation is broken down to the conservation of fermion parity.…

Strongly Correlated Electrons · Physics 2021-10-07 Ömer M. Aksoy , Apoorv Tiwari , Christopher Mudry

We study the nature of the phase diagram of three-dimensional lattice models in the presence of nonabelian gauge symmetries. In particular, we consider a paradigmatic model for the Higgs mechanism, lattice scalar chromodynamics with N_f…

High Energy Physics - Lattice · Physics 2019-12-11 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We explore a new way to simulate quantum field theory, without introducing a spatial lattice. As a pilot study we apply this method to the 3d \lambda \phi^4 model. The regularisation consists of a fuzzy sphere with radius R for the two…

High Energy Physics - Lattice · Physics 2007-05-23 Julieta Medina , Wolfgang Bietenholz , Frank Hofheinz , Denjoe O'Connor

We study the phase diagram of the two-dimensional N=1 Wess-Zumino model on the lattice using Wilson fermions and the fermion loop formulation. We give a complete nonperturbative determination of the ground state structure in the continuum…

High Energy Physics - Lattice · Physics 2015-06-23 Kyle Steinhauer , Urs Wenger

We study the phase diagram of the double exchange model, with antiferromagnetic interactions, in a cubic lattice both at zero and at finite temperature. There is a rich variety of magnetic phases, combined with regions where phase…

Strongly Correlated Electrons · Physics 2009-11-07 J. L. Alonso , J. A. Capitan , L. A. Fernandez , F. Guinea , V. Martin-Mayor

We study a lattice field theory model containing two flavors of massless staggered fermions with an onsite four-fermion interaction. The model contains a $SU(4)$ symmetry which forbids non-zero fermion bilinear mass terms, due to which…

High Energy Physics - Lattice · Physics 2015-04-08 Venkitesh Ayyar , Shailesh Chandrasekharan

We derive field theory descriptions for measurement-induced phase transitions in free fermion systems. We focus on a multi-flavor Majorana chain, undergoing Hamiltonian evolution with continuous monitoring of local fermion parity operators.…

Statistical Mechanics · Physics 2023-12-11 Michele Fava , Lorenzo Piroli , Tobias Swann , Denis Bernard , Adam Nahum

The zero-temperature phase diagrams of imbalanced fermions in 3D optical lattices are investigated to evaluate the validity of the Fermi-Hubbard model. It is found that depending on the filling factor, s-wave scattering strength and lattice…

Quantum Gases · Physics 2009-05-25 Xiaoling Cui , Yupeng Wang

We study the two-dimensional (2D) Hubbard model using exact diagonalization for spin-1/2 fermions on the triangular and honeycomb lattices decorated with a single hexagon per site. In certain parameter ranges, the Hubbard model maps to a…

Strongly Correlated Electrons · Physics 2016-08-26 Cheng-Chien Chen , Lukas Muechler , Roberto Car , Titus Neupert , Joseph Maciejko

A lattice simulation in the broken phase of four-dimensional (lambda Phi^4) theory in the Ising limit suggests that, in the continuum limit, the scalar condensate rescales by a factor different from the conventional wavefunction…

High Energy Physics - Lattice · Physics 2009-10-31 P. Cea , M. Consoli , L. Cosmai

As a nonperturbative check on the Q-exact lattice formulation, we demonstrate that the continuum R-symmetries are recovered. We locate the critical domain of the lattice theory. Aspects of the continuum nonrenormalization theorems are found…

High Energy Physics - Lattice · Physics 2007-05-23 Joel Giedt