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The superconducting transition temperature $T_c$ of the two-dimensional attractive Hubbard model is computed in the vicinity of both ordinary (logarithmic) and higher-order (power-law) Van Hove singularities using determinant quantum Monte…

Strongly Correlated Electrons · Physics 2026-04-16 Gustav Romare , Daniel Shaffer , Alex Levchenko , Edwin Huang , Ilya Esterlis

The properties of a phase at finite interactions can be significantly influenced by the underlying dispersion of the non-interacting Hamiltonian. We demonstrate this by studying the repulsive Hubbard model on the $2$D Lieb lattice, which…

Strongly Correlated Electrons · Physics 2017-12-27 Pramod Kumar , Tuomas I. Vanhala , Päivi Törmä

Superconductivity was recently reported in several quasicrystalline systems. These are materials which are structurally ordered, but since they are not translationally invariant, the usual BCS theory does not apply. At the present time, the…

Superconductivity · Physics 2024-03-13 Ying Wang , Gautam Rai , Chris Matsumura , Anuradha Jagannathan , Stephan Haas

We utilize numerical linked-cluster expansions (NLCEs) and the determinantal quantum Monte Carlo algorithm to study pairing correlations in the square lattice Hubbard model. To benchmark the NLCE, we first locate the finite-temperature…

Strongly Correlated Electrons · Physics 2015-07-14 Ehsan Khatami , Richard T. Scalettar , Rajiv R. P. Singh

We contrast the transport properties (dc resistivity, Seebeck coefficient), optical conductivity, spectral functions, dynamical magnetic susceptibility, and the NMR $1/T_1$ spin-lattice relaxation rate of the repulsive and attractive…

Strongly Correlated Electrons · Physics 2017-10-02 Rok Zitko , Ziga Osolin , Peter Jeglic

We perform the finite-temperature determinant quantum Monte Carlo simulation for the attractive Hubbard model on the half-filled bilayer square lattice. Recent progress on optical lattice experiments lead us to investigate various…

Strongly Correlated Electrons · Physics 2022-11-22 Yogeshwar Prasad

The lack of both nesting and a van Hove singularity at half filling, together with the presence of Dirac cones makes the honeycomb lattice a special laboratory to explore strongly correlated phenomena. For instance, at zero temperature the…

Strongly Correlated Electrons · Physics 2025-10-31 Welberth Kennedy , Sebastião dos Anjos Sousa-Júnior , Natanael C. Costa , Raimundo R. dos Santos

The phase diagrams and superconducting properties of the extended Hubbard model with pair hopping interaction, i.e. the Penson-Kolb-Hubbard model are studied. The analysis of the model is performed for d-dimensional hypercubic lattices,…

Superconductivity · Physics 2009-10-31 Stanislaw Robaszkiewicz , Bogdan R. Bulka

We investigate ground state and finite temperature properties of the half-filled Hubbard model on a honeycomb lattice using quantum monte carlo and series expansion techniques. Unlike the square lattice, for which magnetic order exists at…

Strongly Correlated Electrons · Physics 2009-11-10 Thereza Paiva , R. T. Scalettar , W. Zheng , R. R. P. Singh , J. Oitmaa

We study the low-temperature critical behavior of the one-dimensional Hubbard model near half filling caused by enhanced antiferromagnetic fluctuations. We use a mean-field-type approximation with a two-particle self-consistency…

Strongly Correlated Electrons · Physics 2021-09-10 Václav Janiš , Antonín Klíč , Jiawei Yan

Within the generalized DMFT+$\Sigma$ approach we study disorder effects in the temperature dependence of paramagnetic critical magnetic field $H_{cp}(T)$ for Hubbard model with attractive interaction. We consider the wide range of…

Superconductivity · Physics 2018-10-12 E. Z. Kuchinskii , N. A. Kuleeva , M. V. Sadovskii

We compute the two-particle quantities relevant for superconducting correlations in the two-dimensional Hubbard model within the dynamical cluster approximation. In the normal state we identify the parameter regime in density, interaction,…

Superconductivity · Physics 2015-09-15 Xi Chen , J. P. F. LeBlanc , Emanuel Gull

We employ the numerical linked-cluster expansion to study finite-temperature properties of the uniform cubic lattice Hubbard model in the thermodynamic limit for a wide range of interaction strengths and densities. We carry out the…

Strongly Correlated Electrons · Physics 2016-09-13 Ehsan Khatami

The phase diagram of the d=3 Hubbard model is calculated as a function of temperature and electron density n_i, in the full range of densities between 0 and 2 electrons per site, using renormalization-group theory. An antiferromagnetic…

Strongly Correlated Electrons · Physics 2007-05-23 Michael Hinczewski , A. Nihat Berker

We study the superconducting Kosterlitz-Thouless transition of the attractive Hubbard model on a two-dimensional triangular lattice using auxiliary field quantum Monte Carlo method for system sizes up to $12\times 12$ sites. Combining three…

Strongly Correlated Electrons · Physics 2009-11-11 Tsuguhito Nakano , Kazuhiko Kuroki

The interplay between quantum and thermal fluctuations can induce rich phenomena at finite temperatures in strongly correlated fermion systems. Here we report a {\it numerically exact} auxiliary-field quantum Monte Carlo (AFQMC) study for…

Strongly Correlated Electrons · Physics 2025-01-23 Yu-Feng Song , Youjin Deng , Yuan-Yao He

We report the results of exact diagonalization studies of Hubbard models on a $4\times 4$ square lattice with periodic boundary conditions and various degrees and patterns of inhomogeneity, which are represented by inequivalent hopping…

Superconductivity · Physics 2009-11-13 Wei-Feng Tsai , Hong Yao , Andreas Laeuchli , Steven A. Kivelson

We present a controlled perturbative approach to the low temperature phase diagram of highly inhomogeneous Hubbard models in the limit of small coupling, $t'$, between clusters. We apply this to the dimerized and checkerboard models. The…

Strongly Correlated Electrons · Physics 2009-11-11 Wei-Feng Tsai , Steven A. Kivelson

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 study the normal (non-superconducting) phase of attractive Hubbard model within dynamical mean field theory (DMFT) using numerical renormalization group (NRG) as impurity solver. Wide range of attractive potentials $U$ is considered,…

Superconductivity · Physics 2014-09-30 N. A. Kuleeva , E. Z. Kuchinskii , M. V. Sadovskii