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We investigate pseudo-gap phenomena realized in the BCS pairing model with a long but finite interaction range. We calculate the single-particle self-energy in all order exactly in the temperature range where the superconducting fluctuation…

Superconductivity · Physics 2009-11-07 Satoshi Fujimoto

We study the superconducting instabilities of singlet and triplet pairing in a two-dimensional Hubbard model on the basis of the third-order perturbation theory (TOPT). We investigate the effect of the vertex correction that is given by…

Strongly Correlated Electrons · Physics 2007-05-23 Hirono Fukazawa , Kosaku Yamada

We use the two dimensional extended Hubbard Hamiltonian with the position of the attractive potential as a variable parameter with a BCS type approach to study the interplay between the superconductor transition temperature $T_c$ and hole…

Superconductivity · Physics 2007-05-23 E. V. L. de Mello

We use the moment approach of Nolting (exact sum rules) (Z. Physik 255, 25 (1972)) for the attractive Hubbard model in the superconducting phase. Our diagonal and off - diagonal spectral functions are constructed and evaluated with the sum…

Condensed Matter · Physics 2007-05-23 J. J. Rodriguez - Nunez , C. E. Cordeiro , A. Delfino

The influence of long-range spin and charge fluctuations on spectra of the two-dimensional fermionic Hubbard model is considered using the strong coupling diagram technique. Infinite sequences of diagrams containing ladder inserts, which…

Strongly Correlated Electrons · Physics 2018-10-30 A. Sherman

The effect of fluctuations on the nuclear magnetic resonance (NMR) relaxation rate, $W$, is studied in a complete phase diagram of a 2D superconductor above the upper critical field line $H_{c2}(T)$ . In the region of relatively high…

Superconductivity · Physics 2015-09-02 Andreas Glatz , Alexey Galda , Andrey A. Varlamov

We study order parameter fluctuation effects in the superconducting state as a possible precursor to the pseudogap phenomena. Using a low-energy effective theory in the d-wave BCS model, we self-consistently calculate the single-particle…

Superconductivity · Physics 2016-08-31 Hyok-Jon Kwon

On the basis of $t$-matrix approximation, we study the superconductivity in the tight-binding model with d-wave attraction. The low-lying collective modes are considered as the predominant long-range fluctuations in the system. The Green's…

Superconductivity · Physics 2007-05-23 Xin-Zhong Yan

We apply the dual fermion approach with a second-order approximation to the self-energy to the Mott transition in the two-dimensional Hubbard model. The approximation captures nonlocal dynamical short-range correlations as well as several…

Strongly Correlated Electrons · Physics 2018-10-09 Erik G. C. P. van Loon , Mikhail I. Katsnelson , Hartmut Hafermann

The pairing symmetry in the electron mechanism for superconductivity is explored when charge fluctuations coexist with spin fluctuations. The extended Hubbard model is adopted to obtain, with the fluctuation exchange approximation, a phase…

Superconductivity · Physics 2010-02-17 Seiichiro Onari , Ryotaro Arita , Kazuhiko Kuroki , Hideo Aoki

It is shown that in the two-dimensional attractive Hubbard model, the mean-field phase transition is replaced by a renormalized classical regime of fluctuations where a pseudogap opens up in the single-particle spectral weight. It is argued…

Strongly Correlated Electrons · Physics 2009-10-30 Y. M. Vilk , S. Allen , H. Touchette , S. Moukouri , L. Chen , A. -M. S. Tremblay

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

We report on the result of quantum Monte Carlo simulation of quasi-one-dimensional electron systems at 1/4-filling, considering organic superconductors such as TMTSF- and TMTTF-salts. We focus on the effect of dimensionality (interchain…

Strongly Correlated Electrons · Physics 2009-11-13 Tohru Aonuma , Yuki Fuseya , Masao Ogata

This thesis is concerned with ground state properties of two-dimensional fermionic superfluids, in which fluctuation effects like the renormalization of the order parameter or infrared singularities are important. In the superfluid state,…

Strongly Correlated Electrons · Physics 2014-07-30 Andreas Eberlein

We study the two-dimensional square lattice Hubbard model for small to moderate interaction strengths $1\leq U/t\leq 4$ by means of the ladder dual fermion approach. The non-local correlations beyond dynamical mean-field theory lower the…

Strongly Correlated Electrons · Physics 2018-02-14 Erik G. C. P. van Loon , Hartmut Hafermann , Mikhail Katsnelson

We present a new method to treat the two-dimensional (2D) Hubbard model for parameter regimes which are relevant for the physics of the high-$T_c$ superconducting cuprates. Unlike previous attempts to attack this problem, our new approach…

Strongly Correlated Electrons · Physics 2020-02-13 G. V. Astretsov , G. Rohringer , A. N. Rubtsov

Full or empty narrow bands near the Fermi level are known to enhance superconductivity by promoting scattering processes and spin fluctuations. Here, we demonstrate that doublon-holon fluctuations in systems with half-filled narrow bands…

Superconductivity · Physics 2022-11-30 Changming Yue , Hideo Aoki , Philipp Werner

The canonical BCS wave function is tested for the attractive Hubbard model. Results are presented for one dimension, and are compared with the exact solutions by the Bethe ansatz and the results from the conventional grand canonical BCS…

Superconductivity · Physics 2009-10-31 K. Tanaka , F. Marsiglio

In this work, a two-dimensional one-band Hubbard model is investigated within a two-pole approximation. The model presents a non-local attractive potential $U (U<0)$ that allows the study of d-wave superconductivity and also includes…

Strongly Correlated Electrons · Physics 2011-01-12 E. J. Calegari , S. G. Magalhaes , C. M. Chaves , A. Troper

An effective Hamiltonian for the Kohn-Luttinger superconductor is constructed and solved in the BCS approximation. The method is applied to the t-t' Hubbard model in two dimensions with the following results: (i) The superconducting phase…

Condensed Matter · Physics 2009-11-07 J. Mraz , R. Hlubina