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It is shown that it is possible to quantitatively explain quantum Monte Carlo results for the Green's function of the two-dimensional Hubbard model in the weak to intermediate coupling regime. The analytic approach includes vertex…

Condensed Matter · Physics 2016-08-31 Y. M. Vilk , A. -M. S. Tremblay

Marginal Fermi-liquid physics near optimal doping in high T_{c} cuprates has been explained within two competing scenarios such as the spin-fluctuation theory based on an itinerant picture and the slave-particle approach based on a…

Strongly Correlated Electrons · Physics 2015-05-27 Ki-Seok Kim , Hyun-Chul Kim

We present an exact diagonalization study of the doping dependence of the single particle Green's function in 16, 18 and 20 site clusters of t-J model. We find evidence for rigid-band behaviour starting from the half-filled case: upon…

Condensed Matter · Physics 2009-10-22 R. Eder , Y. Ohta , T. Shimozato

Motivated by a recent experimental observation of a nodal liquid on both single crystals and thin films of Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$ by Chatterjee \emph{et al.} [Nature Physics \textbf{6}, 99 (2010)], we perform a field-theoretical…

Strongly Correlated Electrons · Physics 2015-06-15 Vanuildo S. de Carvalho , Hermann Freire

We consider a chain described by a next-nearest-neighbor hopping combined with a nearest-neighbor spin flip. In two dimensions this three-body term arises from a mapping of the three-band Hubbard model for CuO$_2$ planes to a generalized…

supr-con · Physics 2009-10-28 C. D. Batista , F. Lema , A. A. Aligia

By means of the composite operator method we calculate the specific heat of the 2D Hubbard model. Our results show that the model gives a detailed description of the experimental situation in the normal state of cuprate high Tc…

Superconductivity · Physics 2008-02-03 F. Mancini , D. Villani , H. Matsumoto

Understanding quantum many-body states of correlated electrons is one main theme in modern condensed matter physics. Given that the Fermi-Hubbard model, the prototype of correlated electrons, has been recently realized in ultracold optical…

Strongly Correlated Electrons · Physics 2021-01-27 Bin-Bin Chen , Chuang Chen , Ziyu Chen , Jian Cui , Yueyang Zhai , Andreas Weichselbaum , Jan von Delft , Zi Yang Meng , Wei Li

The study of strongly correlated quantum gases in two dimensions has important ramifications for understanding many intriguing pheomena in solid materials, such as high-$T_{c}$ superconductivity and the fractional quantum Hall effect.…

Quantum Gases · Physics 2010-09-03 Xia-Ji Liu , Hui Hu , Peter D. Drummond

Using the method of continuous constructive renormalization group around the Fermi surface, it is proved that a jellium two-dimensional interacting system of Fermions at low temperature $T$ remains analytic in the coupling constant…

Superconductivity · Physics 2009-10-31 M. Disertori , V. Rivasseau

We model the Fermi surface of the cuprates by one-dimensional nested parts near $(0,\pi)$ and $(\pi,0)$ and unnested parts near the zone diagonals. Fermions in the nested regions form 1D spin liquids, and develop spectral gaps below some…

Superconductivity · Physics 2009-11-11 A. M. Tsvelik , A. V. Chubukov

Charge modulations are considered as a leading competitor of high-temperature superconductivity in the underdoped cuprates, and their relationship to Fermi surface reconstructions and to the pseudogap state is an important subject of…

We investigate the spectral properties of the doped ${t-t'}$ Hubbard model with parameters typical for high-temperature cuprate superconductors. Our approach is based on a novel strong-coupling Green's function expansion around a reference…

Strongly Correlated Electrons · Physics 2026-05-15 E. A. Stepanov , S. Iskakov , M. I. Katsnelson , A. I. Lichtenstein

The enigma of unconventional superconductivity in doped cuprates presents a formidable challenge in the realm of condensed matter physics. Recent findings of strong near-neighbor attractions in one-dimensional cuprate chains suggest a new…

Superconductivity · Physics 2024-01-17 Zhipeng Sun , Hai-Qing Lin

One of the most puzzling facts about cuprate high-temperature superconductors in the lightly doped regime is the coexistence of uniform superconductivity and/or antiferromagnetism with many low-energy charge-ordered states in a…

Strongly Correlated Electrons · Physics 2019-02-13 Wei-Lin Tu , Ting-Kuo Lee

We show how Fermi liquid theory can be applied to ultra-cold Fermi gases, thereby expanding their "simulation" capabilities to a class of problems of interest to multiple physics sub-disciplines. We introduce procedures for measuring and…

Quantum Gases · Physics 2014-11-20 Chih-Chun Chien , K. Levin

A detailed analysis is given of the T^2 term in the resistivity observed in electron-doped SrTiO3. Novel bandstructure data are presented, which provide values for the bare mass, density of states, and plasma frequency of the quasiparticles…

Strongly Correlated Electrons · Physics 2011-11-11 D. van der Marel , J. L. M. van Mechelen , I. I. Mazin

Using the $\hbar$-expansion of the Green's function of the Hartree-Fock-Bogoliubov equation, we extend the second-order Thomas-Fermi approximation to generalized superfluid Fermi systems by including the density-dependent effective mass and…

Nuclear Theory · Physics 2016-01-29 J. C. Pei , Na Fei , Y. N. Zhang , P. Schuck

The question of Fermi liquid vs. non-Fermi liquid behavior induced by strong correlations is one of the prominent problems in metallic local moment systems. As standard models for such systems, the SU(N) x SU(M) Anderson impurity models…

Strongly Correlated Electrons · Physics 2016-11-24 Johann Kroha , Peter Woelfle

We study second order perturbation theory for embedded eigenvalues of an abstract class of self-adjoint operators. Using an extension of the Mourre theory, under assumptions on the regularity of bound states with respect to a conjugate…

Mathematical Physics · Physics 2011-07-21 J. Faupin , J. S. Møller , E. Skibsted

To investigate the non-Fermi liquid behavior we consider the extended two-dimensional t-J model which includes additional hopping t''. In the regime t,J << t'' we were able to solve the model analytically. It has a very rich phase diagram…

Strongly Correlated Electrons · Physics 2007-05-23 Oleg Sushkov