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We analyze the anomalies of superconducting state (both s- and d-wave pairing) in the model of the pseudogap state induced by Heisenberg spin fluctuations of antiferromagnetic short-range order, and based on the scenario of strong…

Superconductivity · Physics 2015-06-24 N. A. Kuleeva , E. Z. Kuchinskii , M. V. Sadovskii

We study antiferromagnetism and single-particle properties in the two-dimensional half-filled Hubbard model at low temperature. Collective spin fluctuations are governed by a non-linear sigma model that we derive from the Hubbard model for…

Strongly Correlated Electrons · Physics 2007-05-23 K. Borejsza , N. Dupuis

This is a short review of the theoretical work on the two-dimensional Hubbard model performed in Sherbrooke in the last few years. It is written on the occasion of the twentieth anniversary of the discovery of high-temperature…

Superconductivity · Physics 2009-11-11 A. -M. S. Tremblay , B. Kyung , D. Sénéchal

We describe a low-temperature approach to the two-dimensional half-filled Hubbard model which allows us to study both antiferromagnetism and single-particle properties. This approach ignores amplitude fluctuations of the antiferromagnetic…

Strongly Correlated Electrons · Physics 2007-05-23 K. Borejsza , N. Dupuis

Based on a microscopic model, we study the interplay between superconductivity and antiferromagnetism in a multi-layered system, where two superconductors are separated by an antiferromagnetic region. Within a self-consistent mean-field…

Superconductivity · Physics 2015-05-19 H. T. Quan , Jian-Xin Zhu

We use the dynamical vertex approximation (D$\Gamma$A) with a Moriyaesque $% \lambda$ correction for studying the impact of antiferromagnetic fluctuations on the spectral function of the Hubbard model in two and three dimensions. Our…

Strongly Correlated Electrons · Physics 2015-05-13 A. A. Katanin , A. Toschi , K. Held

Quasiparticle bands of the two-dimensional Hubbard model are calculated using the Roth two-pole approximation to the one particle Green's function. Excellent agreement is obtained with recent Monte Carlo calculations, including an anomalous…

Condensed Matter · Physics 2016-08-31 J. Beenen , D. M. Edwards

We consider a Hubbard model on a square lattice with an additional interaction, $W$, which depends upon the square of a near-neighbor hopping. At half-filling and a constant value of the Hubbard repulsion, increasing the strength of the…

Condensed Matter · Physics 2009-10-28 F. F. Assaad , M. Imada , D. J. Scalapino

We consider an extended Hubbard model with nearest-neighbor correlated hopping and next nearest-neighbor hopping t' obtained as an effective model for cuprate superconductors. Using a generalized Hartree-Fock BCS approximation, we find that…

Superconductivity · Physics 2009-10-31 Liliana Arrachea , A. A. Aligia

In the vicinity of a phase transition, the order parameter starts fluctuating before vanishing at the critical point. The fluctuation regime, i.e. the way the ordered phase disappears, is a characteristics of a transition, and determines…

Based on experimental results and our previous theoretical work, a microscopic theory of high temperature superconductivity is conjectured. In this conjecture, superconducting and antiferromagnetic long-range orders are driven by interlayer…

Strongly Correlated Electrons · Physics 2007-05-23 Bumsoo Kyung

High-transition-temperature (high-Tc) superconductivity develops near antiferromagnetic phases, and it is possible that magnetic excitations contribute to the superconducting pairing mechanism. To assess the role of antiferromagnetism, it…

Superconductivity · Physics 2007-05-23 E. M. Motoyama , G. Yu , I. M. Vishik , O. P. Vajk , P. K. Mang , M. Greven

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

A local, second-order (truncated) approximation is applied to the Hubbard model in three dimensions. Lowering the temperature, at half-filling, the paramagnetic ground state becomes unstable towards the formation of a commensurate…

Condensed Matter · Physics 2019-08-15 A. N. Tahvildar-Zadeh , J. K. Freericks , M. Jarrell

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 formulate a theory to the 2D Hubbard model in a framework free of finite size effect and numerical analytical continuation, yet containing the essential features of the 2D Hubbard model, i.e., the correct atomic limit for large…

Condensed Matter · Physics 2016-08-31 Bumsoo Kyung

Applying the recently developed variational approach to Kohn-Luttinger superconductivity to the t-t' Hubbard model in two dimensions, we have found, for sizeable next-nearest neighbor hopping, an electron density controlled quantum phase…

Superconductivity · Physics 2009-11-10 J. Mraz , R. Hlubina

We obtain the phase diagram of the half-filled two-dimensional Hubbard model on a square lattice in the presence of Einstein phonons. We find that the interplay between the instantaneous electron-electron repulsion and electron-phonon…

Strongly Correlated Electrons · Physics 2007-05-23 F. D. Klironomos , S. -W. Tsai

The magnetic properties of the t-t' Hubbard Model in the two dimensional square lattice are studied within an unrestricted Hartree-Fock approximation in real space. The interplay between antiferromagnetism, ferromagnetism, phase separation…

Strongly Correlated Electrons · Physics 2007-05-23 B. Valenzuela , M. A. H. Vozmediano , F. Guinea

We discuss the possibility of coexistence of spin density wave (antiferromagnetism) and triplet superconductivity as a particular example of a broad class of systems where the interplay of magnetism and superconductivity is important. We…

Superconductivity · Physics 2009-11-11 Wei Zhang , C. A. R. Sa de Melo