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A strictly truncated (weak-coupling) perturbation theory is applied to the attractive Holstein and Hubbard models in infinite dimensions. These results are qualified by comparison with essentially exact Monte Carlo results. The second order…

Condensed Matter · Physics 2009-10-22 J. K. Freericks , Mark Jarrell

The thermodynamic stability of the hard-sphere gas has been examined, using the formalism of scaled particle theory [SPT], and by applying explicitly the conditions of stability required by both the second and third laws of thermodynamics.…

Statistical Mechanics · Physics 2007-05-23 J. F. Kenney

Using seven semiconductors/insulators with band gaps covering the range from 1 eV to 10 eV we systematically explore the performance of two different variants of self-consistency associated with famous Hedin's system of equations: the full…

Materials Science · Physics 2022-01-20 Andrey L. Kutepov

The Hubbard model, which augments independent-electron band theory with a single parameter to describe electron-electron correlations, is widely regarded to be the `standard model' of condensed matter physics. The model has been remarkably…

Strongly Correlated Electrons · Physics 2016-02-17 S. M. Griffin , P. Staar , T. C. Schulthess , M. Troyer , N. A. Spaldin

Quantum Monte Carlo method is used to re-examine superconductivity in the single-band Hubbard model in two dimensions. Instead of the conventional pairing, we consider a `correlated pairing', $\langle \tilde{c}_{i\uparrow}…

Condensed Matter · Physics 2009-10-28 Kazuhiko Kuroki , Hideo Aoki , Takashi Hotta , Yasutami Takada

The mean field type approach based on the self-consistent consideration of an effective field created by electron transfer is developed for a description of thermodynamics of the Hubbard type models with an infinitely large on-site…

Strongly Correlated Electrons · Physics 2017-05-03 I. V. Stasyuk , O. D. Danyliv

Polymer self-consistent field theory techniques are used to find radial electron densities and total binding energies for isolated atoms. Quantum particles are modelled as Gaussian threads with ring-polymer architecture in a four…

Quantum Physics · Physics 2022-11-30 Russell B. Thompson

We propose a general variational fermionic many-body wavefunction that generates an effective Hamiltonian in a quadratic form, which can then be exactly solved. The theory can be constructed within the density functional theory framework,…

Strongly Correlated Electrons · Physics 2020-10-30 Xindong Wang , Xiao Chen , Liqin Ke , Hai-Ping Cheng , B. N. Harmon

In the model considered, the nonlocal interaction of the fermions in different sublattices of a bipartite lattice is introduced. It can also be regarded as local interaction of fermions with opposite ``hypercharge''. The corresponding term…

Superconductivity · Physics 2007-05-23 Eugene Pivovarov

We complement previous functional renormalization group (fRG) studies of the two-dimensional Hubbard model by mean-field calculations. The focus falls on Van Hove filling and the the hopping amplitude t'/t=0.341. The fRG data suggest a…

Strongly Correlated Electrons · Physics 2019-09-04 Kambis Veschgini , Manfred Salmhofer

We consider time-harmonic electromagnetic wave equations in composites of a dispersive material surrounded by a classical material. In certain frequency ranges this leads to sign-changing permittivity and/or permeability. Previously meshing…

Numerical Analysis · Mathematics 2021-04-20 Martin Halla

We calculate the one-particle spectral functions above the superconducting transition temperature $T_{C}$, in the framework of a functional integral approach. The coupling of the electronic self-energy to pair fluctuations, which are…

Condensed Matter · Physics 2009-10-31 Massimiliano Capezzali , Hans Beck

The variational determination of the two-particle density matrix is an interesting, but not yet fully explored technique that allows to obtain ground-state properties of a quantum many-body system without reference to an $N$-particle wave…

Strongly Correlated Electrons · Physics 2012-05-22 Brecht Verstichel , Helen van Aggelen , Ward Poelmans , Dimitri Van Neck

The Hubbard-I approximation is generalized to allow for direct evaluation of the equal-time anomalous two-electron propagator for Hubbard model on two-dimensional square lattice. This propagator is compared against the quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2016-05-18 A. V. Rozhkov , A. L. Rakhmanov

We investigate the superfluid properties of d-wave pairing symmetry within the Extended Hubbard Model (EHM) in a magnetic field. We analyze the temperature and magnetic field dependencies of the order parameter. We find that in the…

Strongly Correlated Electrons · Physics 2013-09-27 Agnieszka Kujawa-Cichy

Central to the normal state of cuprate high-temperature superconductors is the collapse of the pseudogap, briefly reviewed here, at a critical point and the subsequent onset of the strange-metal characterized by a resistivity that scales…

Strongly Correlated Electrons · Physics 2015-05-19 Philip Phillips

The two-dimensional Hubbard model is studied for small values of the interaction strength (U of the order of the hopping amplitude t), using a variational ansatz well suited for this regime. The wave function, a refined Gutzwiller ansatz,…

Superconductivity · Physics 2019-07-19 Dionys Baeriswyl

The superconducting instabilities of the doped repulsive 2D Hubbard model are studied in the intermediate to strong coupling regime with help of the Dynamical Cluster Approximation (DCA). To solve the effective cluster problem we employ an…

Superconductivity · Physics 2009-10-31 Th. Maier , M. Jarrell , Th. Pruschke , J. Keller

Using a recently developed renormalization group method for fermionic superfluids, we determine conditions for d-wave superconductivity in the two-dimensional Hubbard model at moderate interaction strength, and we compute the pairing gap in…

Strongly Correlated Electrons · Physics 2014-01-21 Andreas Eberlein , Walter Metzner

We study the two-dimensional Hubbard model in the weak-coupling regime and compare the self-energy obtained from various approximate diagrammatic schemes to the result of diagrammatic Monte Carlo simulations, which sum up all weak-coupling…

Strongly Correlated Electrons · Physics 2015-06-25 Jan Gukelberger , Li Huang , Philipp Werner