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We study a one-dimensional system of strongly correlated bosons on a dynamical lattice. To this end, we extend the standard Bose-Hubbard Hamiltonian to include extra degrees of freedom on the bonds of the lattice. We show that this minimal…

The particles in the honeycomb lattice with on-site $s$-wave pairing exhibit many interesting behaviors, which can be described in the framework of the Hubbard model. Among others, at the half-filling, some critical value $|U_c|$ of pairing…

Superconductivity · Physics 2024-01-24 Agnieszka Cichy , Konrad J. Kapcia , Andrzej Ptok

Unidirectional ("stripe") charge-density-wave order has now been established as a ubiquitous feature in the phase diagram of the cuprate high temperature (HT) superconductors, where it generally competes with superconductivity (SC).…

Strongly Correlated Electrons · Physics 2022-02-16 Hong-Chen Jiang , Steven A. Kivelson

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

Chiral topological orders formed in correlated fermion systems have been widely explored. However, the mechanism on how they emerge from interacting fermions is still unclear. Here, we propose a susceptibility condition. Under this…

Strongly Correlated Electrons · Physics 2024-06-26 Rui Wang , Tao Yang , Z. Y. Xie , Baigeng Wang , X. C. Xie

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 Bardeen-Cooper-Schrieffer (BCS)-Bose-Einstein condensation (BEC) crossover in the two-dimensional attractive Hubbard model under the magnetic field is discussed at the half-filling at T=0 K on the basis of the formalism of Eagles and…

Superconductivity · Physics 2015-06-23 Atsushi Tsuruta , Satoshi Hyodo , Kazumasa Miyake

We study the phase diagram of the one-dimensional Bose-Fermi-Hubbard model at unit filling for the scalar bosons and half filling for the $S=1/2$ fermions using quantum Monte Carlo simulations. The bare interaction between the fermions is…

Quantum Gases · Physics 2023-02-22 Janik Schönmeier-Kromer , Lode Pollet

Statistical properties of cross sections are studied for an open system of interacting fermions. The description is based on the effective non-Hermitian Hamiltonian that accounts for the existence of open decay channels preserving the…

Disordered Systems and Neural Networks · Physics 2014-07-29 G. L. Celardo , F. M. Izrailev , V. G. Zelevinsky , G. P. Berman

The five-band Hubbard model for a $d$ band with one electron per site is a model which has very interesting properties when the relevant ions are located at sites with high (e. g. cubic) symmetry. In that case, if the crystal field…

Strongly Correlated Electrons · Physics 2009-11-10 A. B. Harris , T. Yildirim , A. Aharony , O. Entin-Wohlman , I. Ya. Korenblit

We discuss the mechanisms of unconventional superconductivity and superfluidity in 3D and 2D fermionic systems with purely repulsive interaction at low densities. We construct phase diagrams of these systems and find the areas of the…

Superconductivity · Physics 2015-11-13 M. Yu. Kagan , V. A. Mitskan , M. M. Korovushkin

We investigate the strong coupling limit of lattice QCD in the Hamiltonian formulation for systems with non-zero baryon density. In leading order the Hamiltonian looks like an antiferromagnet that is invariant under global U(N_f)xU(N_f) and…

High Energy Physics - Lattice · Physics 2007-05-23 Barak Bringoltz

The low-temperature properties of the two-dimensional attractive Hubbard model are strongly influenced by the fermion density. Away from half-filling, there is a finite-temperature transition to a phase with s-wave pairing order. However,…

Quantum Gases · Physics 2012-02-20 E. Assmann , S. Chiesa , G. G. Batrouni , H. G. Evertz , R. T. Scalettar

This review gives a rather general discussion of high temperature superconductors as an example of a strongly correlated material. The argument is made that in view of the many examples of unconventional superconductors discovered in the…

Strongly Correlated Electrons · Physics 2009-11-13 Patrick A. Lee

We study strongly correlated Hubbard systems extended to symmetric $N$-component fermions. We focus on the intermediate-temperature regime between magnetic superexchange and interaction energy, which is relevant to current ultracold…

Quantum Gases · Physics 2012-11-19 Akiyuki Tokuno , Thierry Giamarchi

By using a well established 'ab initio' theoretical approach developed in the past to quantitatively study the superconductivity of condensed matter systems, which is based on the Kohn-Sham Density Functional theory, I study the superfluid…

Quantum Gases · Physics 2016-06-01 Francesco Ancilotto

Electrons, holes, and photons in semiconductors are interacting fermions and bosons. In this system, a variety of ordered coherent phases can be formed through the spontaneous phase symmetry breaking because of their interactions. The…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Makoto Yamaguchi , Ryota Nii , Kenji Kamide , Tetsuo Ogawa , Yoshihisa Yamamoto

We study the interplay between large-spin, spin-orbit coupling, and superfluidity for bosons in a two dimensional optical lattice, focusing on the spin-1 spin-orbit coupled system recently realized at the Joint Quantum Institute [Campbell…

Quantum Gases · Physics 2016-02-10 J. H. Pixley , Stefan S. Natu , I. B. Spielman , S. Das Sarma

The phase diagram of the attractive Hubbard model with spatially inhomogeneous interactions is obtained using a single site dynamical mean field theory like approach. The model is characterized by three parameters: the interaction strength,…

Superconductivity · Physics 2009-11-13 Vijay B. Shenoy

Three-component fermionic optical lattice systems are investigated in dynamical mean-field theory for the Hubbard model. Solving the effective impurity model by means of continuous-time quantum Monte Carlo simulations in the Nambu…

Quantum Gases · Physics 2015-06-18 Yuki Okanami , Nayuta Takemori , Akihisa Koga