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We study an attractive Hubbard model on bipartite lattices. In the grand canonical formalism,we prove the existence of superconducting long-range order in the ground state on Lieb lattices with the chemical potential corresponding to half…

Mathematical Physics · Physics 2026-02-17 Yukimi Goto , Tohru Koma , Hironobu Yoshida

Complex scalars in U(1)-symmetric potentials can form stable Q-balls, non-topological solitons that correspond to spherical bound-state solutions. If the U(1) charge of the Q-ball is large enough, it can support a tower of unstable radial…

High Energy Physics - Theory · Physics 2022-09-09 Yahya Almumin , Julian Heeck , Arvind Rajaraman , Christopher B. Verhaaren

The Strongly Coupled Standard Model predicts a rich spectrum of excited states at the Fermi scale. We study the first radial excitations of the vector bosons. The inclusion of these new states affects the low energy phenomenology of the…

High Energy Physics - Phenomenology · Physics 2009-07-30 Francesco D'Eramo

We consider three-dimensional higher-charge multicomponent lattice Abelian-Higgs (AH) models, in which a compact U(1) gauge field is coupled to an N-component complex scalar field with integer charge q, so that they have local U(1) and…

Statistical Mechanics · Physics 2021-01-04 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We study the two-dimensional lattice multicomponent Abelian-Higgs model, which is a lattice compact U(1) gauge theory coupled with an N-component complex scalar field, characterized by a global SU(N) symmetry. In agreement with the…

Statistical Mechanics · Physics 2020-02-19 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

A Haldane conjecture is revealed for spin-singlet charge modes in 2N-component fermionic cold atoms loaded into a one-dimensional optical lattice. By means of a low-energy approach and DMRG calculations, we show the emergence of gapless and…

Strongly Correlated Electrons · Physics 2010-01-25 H. Nonne , P. Lecheminant , S. Capponi , G. Roux , E. Boulat

The study of the interaction potential between static charges within Monte-Carlo simulation of graphene is carried out. The numerical simulations are performed in the effective lattice field theory with noncompact $3 + 1$-dimensional…

Strongly Correlated Electrons · Physics 2014-05-09 V. V. Braguta , S. N. Valgushev , A. A. Nikolaev , M. I. Polikarpov , M. V. Ulybyshev

A simple effective model of charge ordered insulators is studied. The tight binding Hamiltonian consists of the effective on-site interaction U and the intersite density-density interactions Wij (both: nearest-neighbour and…

Strongly Correlated Electrons · Physics 2012-05-01 Konrad Kapcia , Waldemar Klobus , Stanislaw Robaszkiewicz

Using exact Bethe ansatz solution, we rigorously study excitation spectra of the spin-1/2 Fermi gas (called Yang-Gaudin model) with an attractive interaction. Elementary excitations of this model involve particle-hole excitations, hole…

Quantum Gases · Physics 2023-05-16 Jia-Feng Pan , Jia-Jia Luo , Xi-Wen Guan

We present {\it ab-initio} time-dependent density-functional theory calculation results for low-energy collective electron excitations in $\textrm{MgB}_2$. The existence of a long-lived collective excitation corresponding to coherent charge…

Superconductivity · Physics 2015-05-13 V. M. Silkin , A. Balassis , P. M. Echenique , E. V. Chulkov

Vacuum structure, one-particle excitations' spectra and bound states of these excitations are studied in frame of non-relativistic quantum field model with current $\times$ current type interaction. Hidden symmetry of the model is found. It…

Quantum Physics · Physics 2007-05-23 A. N. Vall , S. E. Korenblit , V. M. Leviant , A. V. Sinitskaya

We study the phase diagram and phase transitions of the three dimensional multicomponent lattice Higgs model with non-compact Abelian discrete groups. The model with non-compact U(1) gauge group is known to undergo, for a sufficiently large…

High Energy Physics - Lattice · Physics 2024-04-15 Claudio Bonati , Niccolò Francini

We develop a formalism for the quantization of topologically stable excitations in the 4-dimensional abelian lattice gauge theory. The excitations are global and local (Abrikosov-Nielsen-Olesen) strings and monopoles. The operators of…

High Energy Physics - Lattice · Physics 2009-10-22 A. K. Bukenov , A. V. Pochinsky , M. I. Polikarpov , L. Polley , U. -J. Wiese

We present potentials between static charges from simulations of quantum gravity coupled to an SU(2) gauge field on $6^{3}\times 4$ and $8^{3}\times 4$ simplicial lattices. The action consists of the gravitational term given by Regge's…

High Energy Physics - Lattice · Physics 2016-08-31 W. Beirl , B. A. Berg , B. Krishnan , H. Markum , J. Riedler

In this letter we present a coherent picture for the evolution of Higgs mode in both neutral and charged $s$-wave fermion superfluids, as the strength of attractive interaction between fermions increases from the BCS to the BEC regime. In…

Quantum Gases · Physics 2016-03-30 Boyang Liu , Hui Zhai , Shizhong Zhang

We investigate non-perturbative features of a three-dimensional Abelian Higgs model with singly- and doubly-charged scalar fields coupled to a single compact Abelian gauge field. The model is pretending to describe various planar systems of…

Strongly Correlated Electrons · Physics 2008-11-26 M. Bock , M. N. Chernodub , E. -M. Ilgenfritz , A. Schiller

We review some approaches to describe confinement in terms of effective (model) field theories. After a brief discussion of the dual Abelian Higgs model, we concentrate on a lattice analysis of the Faddeev-Niemi effective action conjectured…

High Energy Physics - Lattice · Physics 2009-11-07 L. Dittmann , T. Heinzl , A. Wipf

We study the phase structure of the 3D nonlocal compact U(1) lattice gauge theory coupled with a Higgs field by means of Monte-Carlo simulations. The nonlocal interactions among gauge variables are along the temporal direction and mimic the…

High Energy Physics - Lattice · Physics 2009-11-11 Shunsuke Takashima , Ikuo Ichinose , Tetsuo Matsui , Kazuhiko Sakakibara

The present paper develops the ideas introduced in {\em cond-mat/0312673}. The construction of a hybrid discrete-continuous model of layered superconductors is briefly presented. The model bases on the classic Lawrence-Doniach scenario with…

Superconductivity · Physics 2008-01-03 M. Sztyren

We show how a strongly coupled lattice theory consisting of just fermions and gauge fields can exhibit a dynamical Higgs mechanism through the formation of a gauge invariant four fermion condensate. Furthermore, we argue that the resultant…

High Energy Physics - Lattice · Physics 2013-11-19 Simon Catterall , Aarti Veernala