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We develop a pairing-field formalism for ab initio studies of non-relativistic two-component fermions on a $(d\!+\!1)$-dimensional spacetime lattice. More specifically, we focus on theories where the interaction between the two components…

Quantum Gases · Physics 2024-04-03 Florian Ehmann , Joaquín E. Drut , Jens Braun

A theory of strongly correlated electron or hole liquids with the fermion condensate is presented and applied to the consideration of quasiparticle excitations in high temperature superconductors, in their superconducting and normal states.…

Strongly Correlated Electrons · Physics 2007-05-23 V. R. Shaginyan

We study finite-temperature properties of strongly correlated fermions in two-dimensional optical lattices by means of numerical linked cluster expansions, a computational technique that allows one to obtain exact results in the…

Strongly Correlated Electrons · Physics 2015-03-13 Ehsan Khatami , Marcos Rigol

Finite-temperature, grand-canonical computations based on field theory are widely applied in areas including condensed matter physics, ultracold atomic gas systems, and lattice gauge theory. However, these calculations have computational…

Strongly Correlated Electrons · Physics 2019-10-02 Yuan-Yao He , Hao Shi , Shiwei Zhang

Attractive interaction between spinless fermions in a two-dimensional lattice drives the formation of a topological superfluid. But the topological phase is dynamically unstable towards phase separation when the system has a high density of…

Quantum Gases · Physics 2021-10-04 Junhua Zhang , Sumanta Tewari , V. W. Scarola

The critical temperature of a superfluid phase transition in a Fermi gas with repulsive interaction is found. The influence of a magnetic field on the transition is analyzed. The estimates for the critical temperature for a trapped gas of…

Statistical Mechanics · Physics 2007-05-23 D. V. Efremov , M. S. Mar'enko , M. A. Baranov , M. Yu. Kagan

We perform large-scale Quantum Monte Carlo (QMC) simulations for strongly interacting bosons in a 2D optical lattice trap, and confirm an excellent agreement with the benchmarking in-situ density measurements by the Chicago group [1]. We…

Quantum Gases · Physics 2011-03-16 Shiang Fang , Chia-Ming Chung , Ping Nang Ma , Pochung Chen , Daw-Wei Wang

We review the study of the superfluid phase transition in a system of fermions whose interaction can be tuned continuously along the crossover from Bardeen-Cooper-Schrieffer (BCS) superconducting phase to a Bose-Einstein condensate (BEC),…

Quantum Gases · Physics 2021-05-06 Luca Dell'Anna , Stefano Grava

The strongly-correlated regime of the BCS-BEC crossover can be realized by diluting a system of two-component fermions with a short-range attractive interaction. We investigate this system via a novel continuous-space-time diagrammatic…

Strongly Correlated Electrons · Physics 2009-11-13 Evgeni Burovski , Evgeny Kozik , Nikolay Prokof'ev , Boris Svistunov , Matthias Troyer

We discuss a superfluid phase transition in a trapped neutral-atom Fermi gas. We consider the case where the critical temperature greatly exceeds the spacing between the trap levels and derive the corresponding Ginzburg-Landau equation. The…

Statistical Mechanics · Physics 2009-10-30 M. A. Baranov , D. S. Petrov

The emergence of local phases in a trapped two-component Fermi gas in an optical lattice is studied using quantum Monte Carlo simulations. We treat temperatures that are comparable or lower than those presently achievable in experiments and…

Quantum Gases · Physics 2015-03-14 Simone Chiesa , Christopher N. Varney , Marcos Rigol , Richard T. Scalettar

We study the finite temperature-density phase diagram of an attractive fermionic system that supports two-body (dimer) and three-body (trimer) bound states in free space. Using interactions characteristic for nuclear systems, we obtain the…

Nuclear Theory · Physics 2008-11-26 Armen Sedrakian , John W. Clark

We study the phase diagram and critical properties of quantum Ising chains with long-range ferromagnetic interactions decaying in a power-law fashion with exponent $\alpha$, in regimes of direct interest for current trapped ion experiments.…

Statistical Mechanics · Physics 2021-10-13 E. Gonzalez-Lazo , M. Heyl , M. Dalmonte , A. Angelone

The unitary Fermi gas (UFG) is a strongly correlated system of two-species (spin-1/2) fermions with a short-range attractive interaction modeled by a contact interaction and has attracted much interest across different disciplines. The UFG…

Quantum Gases · Physics 2024-08-30 S. Jensen , C. N. Gilbreth , Y. Alhassid

We study the thermal phase transition in colour SU(3) Quantum Chromodynamics (QCD) with a variable number of fermions in the fundamental representation by using lattice Monte-Carlo simulations. We collect the (pseudo) critical couplings for…

High Energy Physics - Lattice · Physics 2013-03-19 Kohtaroh Miura , Maria Paola Lombardo

In the framework of a 2D Fermi-gas with short-range repulsive interaction we find the critical temperature of the superfluid phase transition based on Kohn-Luttinger effect, and analyze its dependence on magnetic field. We calculate…

Superconductivity · Physics 2009-10-31 D. V. Efremov , M. S. Mar'enko , M. A. Baranov , M. Yu. Kagan

We present the current status of lattice simulations with N_f=2 maximally twisted mass Wilson fermions at finite temperature. In particular, the determination of the thermal transition temperature is discussed.

Results from the Columbia lattice group study of the QCD finite temperature phase transition with dynamical domain wall fermions on $16^3 \times 4$ lattices are presented. These results include an investigation of the U(1) axial symmetry…

High Energy Physics - Lattice · Physics 2015-06-25 Pavlos Vranas

In several unconventional superconductors, the highest superconducting transition temperature $T_{c}$ is found in a region of the phase diagram where the antiferromagnetic transition temperature extrapolates to zero, signaling a putative…

Superconductivity · Physics 2017-05-31 Xiaoyu Wang , Yoni Schattner , Erez Berg , Rafael M. Fernandes

A method for calculation of the critical temperature of transition of a many-particle Fermi system into a superfluid or a superconducting state at an arbitrary pair potential of the interparticle interaction is proposed. An original…

Statistical Mechanics · Physics 2015-11-26 Yu. M. Poluektov , A. A. Soroka