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We report results of quantum Monte Carlo simulations in the canonical and the grand-canonical ensemble of the two- and three-dimensional Bose-Hubbard model with quadratic and quartic confining potentials. The quantum criticality of the…

Other Condensed Matter · Physics 2007-05-23 Olivier Gygi , Helmut G. Katzgraber , Matthias Troyer , Stefan Wessel , G. George Batrouni

Dependence of a/r_c (inverse Sommer parameter in units of lattice spacing a) on am_q (quark mass in lattice unit) has been observed in all lattice QCD simulations with sea quarks including the ones with improved actions. How much of this…

High Energy Physics - Lattice · Physics 2010-01-21 Asit K. De , A. Harindranath , Jyotirmoy Maiti

We investigate the equilibrium and dynamical properties of the Bose-Hubbard model and the related particle-hole symmetric spin-1 model in the vicinity of the superfluid to Mott insulator quantum phase transition. We employ the following…

Quantum Gases · Physics 2013-11-11 D. Pekker , B. Wunsch , T. Kitagawa , E. Manousakis , A. S. Sørensen , E. Demler

We study the scaling property of the ratio of the critical temperature $T_c$ to the square root of the string tension $\sigma$ in the SU(3) pure gauge theory using a renormalization group improved action. We first determine the critical…

High Energy Physics - Lattice · Physics 2016-08-15 Y. Iwasaki , K. Kanaya , T. Kaneko , T. Yoshié

We study a model of a covalent band insulator with on-site Coulomb repulsion at half-filling using dynamical mean-field theory. Upon increasing the interaction strength the system undergoes a discontinuous transition from a correlated band…

Strongly Correlated Electrons · Physics 2009-10-16 Michael Sentef , Jan Kunes , Philipp Werner , Arno P. Kampf

We use a novel method of computing the third moment M_3 of the action of the 2+1-dimensional compact Higgs model in the adjoint representation with q=2 to extract correlation length and specific heat exponents nu and alpha, without invoking…

Strongly Correlated Electrons · Physics 2009-11-07 A. Sudbø , E. Smørgrav , J. Smiseth , F. S. Nogueira , J. Hove

Motivated by experimental studies that have found signatures of a quantum spin liquid phase in organic crystals whose structure is well described by the two-dimensional triangular lattice, we study the Hubbard model on this lattice at half…

Strongly Correlated Electrons · Physics 2020-05-27 Aaron Szasz , Johannes Motruk , Michael P. Zaletel , Joel E. Moore

We study a bosonic version of the Kondo lattice model with an on-site repulsion in the conduction band, implemented with alkali atoms in two bands of an optical lattice. Using both weak and strong-coupling perturbation theory, we find that…

Quantum Gases · Physics 2012-07-24 Michael Foss-Feig , Ana Maria Rey

We study the quantum phase transition between a band (``ionic'') insulator and a Mott-Hubbard insulator, realized at a critical value U=Uc in a bipartite Hubbard model with two inequivalent sites, whose on-site energies differ by an offset…

Condensed Matter · Physics 2007-05-23 N. Gidopoulos S. Sorella , E. Tosatti

We study the problem of resonant tunneling through a quantum dot in a spinful Luttinger liquid. For a range of repulsive interactions, we find that for symmetric barriers there exist resonances with a universal peak conductance $2g^* e^2/h$…

Mesoscale and Nanoscale Physics · Physics 2016-08-30 Yichen Hu , C. L. Kane

We demonstrate that the Mott transition exhibits universal scaling as a consequence of the breaking of a $\mathbb{Z}_2$ symmetry in momentum space. A direct consequence of this discrete symmetry breaking is the charge or Mott gap itself.…

Strongly Correlated Electrons · Physics 2025-11-25 Jinchao Zhao , Peizhi Mai , Gaurav Tenkila , Philip W. Phillips

The lattice thermodynamics of a 1T-TaS2 layer, e.g. the spontaneous formation of a sqrt13*sqrt13 commensurate charge density wave (CCDW) and vibrations around the equilibrium position, is calculated by ab initio molecular dynamics. Based on…

Strongly Correlated Electrons · Physics 2020-02-04 Li Cheng , Shunhong Zhang , Shuang Qiao , Xiaofeng Wang , Lizhao Liu , Zheng Liu

We use the two fluid model to determine the conditions under which the nuclear spin-lattice lattice relaxation rate, $T_1$, of candidate heavy quantum critical superconductors can exhibit scaling behavior and find that it can occur if and…

Superconductivity · Physics 2015-12-03 Yi-feng Yang , David Pines , N. J. Curro

We study the low temperature properties of the two-dimensional weakly interacting Hubbard model on $\ZZZ^2$ with renormalized chemical potential $\mu=2-\mu_0$, $\mu_0=10^{-10}$ fixed, in which case the Fermi surface is close to a perfect…

Mathematical Physics · Physics 2023-03-31 Zhituo Wang

The thermodynamic impact of the Coulomb repulsion on s-wave superconductors is analyzed via a rigorous study of equilibrium and ground states of the strong coupling BCS-Hubbard Hamiltonian. We show that the one-site electron repulsion can…

Mathematical Physics · Physics 2016-08-31 J. -B. Bru , W. de Siqueira Pedra

The critical behavior of pinned charge density waves (CDW's) is studied as the threshold for sliding is approached. Using the Fukuyama-Lee-Rice Hamiltonian with relaxational dynamics, the polarization and linear response are calculated…

Condensed Matter · Physics 2009-09-25 Daniel S. Fisher , A. Alan Middleton

In the first part of our theoretical study of correlated atomic wires on substrates, we introduced lattice models for a one-dimensional quantum wire on a three-dimensional substrate and their approximation by quasi-one-dimensional effective…

Strongly Correlated Electrons · Physics 2017-08-09 Anas Abdelwahab , Eric Jeckelmann , Martin Hohenadler

The superfluid to insulator quantum phase transition of a three-dimensional particle-hole symmetric system of disordered bosons is studied. To this end, a site-diluted quantum rotor Hamiltonian is mapped onto a classical (3+1)-dimensional…

Quantum Gases · Physics 2018-10-25 Jack Crewse , Cameron Lerch , Thomas Vojta

Charge ordering is often found in the phase diagram of unconventional superconductors in close proximity to the superconducting state. This has led to the suggestion that fluctuations of charge order can mediate superconducting pairing.…

Strongly Correlated Electrons · Physics 2025-04-04 R. Torsten Clay , Beau A. Thompson

We revisit the effects of the Hubbard repulsion on quantum spin Hall effects (QSHE) in two-dimensional quantum lattice models. We present both unbiased exact diagonalization and density-matrix renormalization group simulations with…

Strongly Correlated Electrons · Physics 2017-11-10 Tian-Sheng Zeng , W. Zhu , Jian-Xin Zhu , D. N. Sheng
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