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We determine the superfluid transition temperatures $T_c$ and the ground states of the attractive Hubbard model and find new insulating phases associated with non-integer filling at sufficiently strong pairing attraction $|U|$. These…

Other Condensed Matter · Physics 2011-09-13 Chih-Chun Chien , Yan He , Qijin Chen , K. Levin

We calculate the one-electron spectral function of the attractive (negative-$U$) Hubbard model. We work in the intermediate coupling and low density regime and obtain the self-energy in an approximate analytical form. The excitation…

Condensed Matter · Physics 2016-08-15 Maxim Yu. Kagan , Raymond Frésard , Massimiliano Capezzali , Hans Beck

One-particle spectral properties in the normal phase of the two-dimensional attractive Hubbard model are investigated in the weak coupling regime using the non-selfconsistent T-matrix approximation. The corresponding equations are evaluated…

Superconductivity · Physics 2009-10-31 Daniel Rohe , Walter Metzner

The mechanism of fermionic pairing is the key to understanding various phenomena such as high-temperature superconductivity and the pseudogap phase in cuprate materials. We study the pair correlations in the attractive Hubbard model using…

Quantum Gases · Physics 2020-05-20 C. F. Chan , M. Gall , N. Wurz , M. Köhl

We examine the nature of the transition to the antiferromagnetically ordered state in the half-filled three-dimensional Hubbard model using the dual-fermion multiscale approach. Consistent with analytics, in the weak-coupling regime we find…

Strongly Correlated Electrons · Physics 2015-10-14 Daniel Hirschmeier , Hartmut Hafermann , Emanuel Gull , Alexander I. Lichtenstein , Andrey E. Antipov

A recently introduced recurrence-relation ansatz applied to the Fermi-Hubbard model gives rise to a soluble model and here is used to calculate several thermodynamic observables. The constraint of unit density per site, density = 1, is…

Quantum Gases · Physics 2024-09-18 Moorad Alexanian

We investigate the nature of the interaction-driven Mott-Hubbard transition of the half-filled $t_1{-}t_2$ Hubbard model in one dimension, using a full-fledged variational Monte Carlo approach including a distance-dependent Jastrow factor…

Strongly Correlated Electrons · Physics 2015-05-14 Luca F. Tocchio , Federico Becca , Claudius Gros

One-dimensional model of a system where first-order phase transition occurs is examined in the present paper. It is shown that basic properties of the phenomenon, such as a well defined temperature of transition, are caused both by…

Statistical Mechanics · Physics 2009-07-29 Marcin Ostrowski

We investigate spontaneously symmetry breaking states in the attractive SU($N$) Hubbard model at half filling. Combining dynamical mean-field theory with the continuous-time quantum Monte Carlo method, we obtain the finite temperature phase…

Strongly Correlated Electrons · Physics 2017-02-06 Akihisa Koga , Hiromasa Yanatori

In this paper we address the behavior of the superfluid transition temperature $T_c$ in the attractive Hubbard model. We study systematically the effects of pairing fluctuations and address all filling fractions over the entire range of…

Other Condensed Matter · Physics 2011-09-13 Chih-Chun Chien , Qijin Chen , K. Levin

We develop a theory for a generic instability of a Fermi liquid in dimension d>1 against the formation of a Luttinger-liquid-like state. The density of states at the Fermi level is the order parameter for the ensuing quantum phase…

Strongly Correlated Electrons · Physics 2013-10-01 T. R. Kirkpatrick , D. Belitz

Results for the optical conductivity and resistivity of the Hubbard model in infinite spatial dimensions are presented. At half filling we observe a gradual crossover from a normal Fermi-liquid with a Drude peak at $\omega=0$ in the optical…

Condensed Matter · Physics 2009-10-22 Th. Pruschke , D. L. Cox , M. Jarrell

The liquid-to-ordered phase transition in a bilayer system of fermions is studied within the context of a recently proposed density-functional theory [Phys. Rev. A {\bf 92}, 023614 (2015)]. In each two-dimensional layer, the fermions…

Quantum Gases · Physics 2016-06-01 B. P. van Zyl , W. Ferguson

It is proved that the ground state under the supreme single-site approximation (S^3A), the dynamical mean-field theory (DMFT), or the dynamical coherent potential approximation (DCPA) is the normal Fermi liquid in the presence of an…

Superconductivity · Physics 2008-07-02 Fusayoshi J. Ohkawa

We investigate the electronic phases of an effective Hubbard model on the body-centered-cubic lattice, motivated by alkali-doped fulleride molecular solids. The model incorporates renormalized on-site interactions and an effective inverted…

Strongly Correlated Electrons · Physics 2026-05-08 Theja N. De Silva

The charge ordering transition induced by the nearest-neighbor Coulomb repulsion, V, in the 1/4-filled extended Hubbard model is investigated using Cellular Dynamical Mean-Field Theory. We find a transition to a strongly renormalized charge…

Strongly Correlated Electrons · Physics 2009-11-13 Jaime Merino

A systematic study of optical and transport properties of the Hubbard model, based on Metzner and Vollhardt's dynamical mean-field approximation, is reviewed. This model shows interesting anomalous properties that are, in our opinion,…

supr-con · Physics 2016-09-08 Th. Pruschke , M. Jarrell , J. K. Freericks

We study a two-component Fermi system with attractive interactions and different populations of the two species in a cubic lattice. For an intermediate coupling we find a uniformly polarized superfluid which is stable down to very low…

Superconductivity · Physics 2008-12-08 Tung-Lam Dao , Michel Ferrero , Antoine Georges , Massimo Capone , Olivier Parcollet

A Fermi liquid with weak attractive interaction undergoes a BCS transition to a superconductor with reducing temperature. With increasing interaction strength, the thermal transition is progressively modified as the high temperature…

Strongly Correlated Electrons · Physics 2011-05-06 Sabyasachi Tarat , Pinaki Majumdar

The two-dimensional attractive Hubbard model is studied in the weak to intermediate coupling regime by employing a non-perturbative approach. It is first shown that this approach is in quantitative agreement with Monte Carlo calculations…

Strongly Correlated Electrons · Physics 2009-10-31 B. Kyung , S. Allen , A. -M. S. Tremblay