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Long-range anisotropic dipole-dipole interactions between ultracold polar molecules are predicted to drive exotic quantum phases, yet direct many-body signatures of these interactions in degenerate Fermi gases have remained elusive. Here,…

We investigate the normal selfenergy and the mass enhancement factor in the Hubbard model on the two-dimensional square lattice. Our purpose in this paper is to evaluate the mass enhancement factor more quantitatively than the conventional…

Strongly Correlated Electrons · Physics 2009-11-11 Shogo Shinkai , Hiroaki Ikeda , Kosaku Yamada

The Fermi-Hubbard model is one of the key models of condensed matter physics, which holds a potential for explaining the mystery of high-temperature superconductivity. Recent progress in ultracold atoms in optical lattices has paved the way…

Quantum Gases · Physics 2016-09-29 Jan Kaczmarczyk , Hendrik Weimer , Mikhail Lemeshko

The phase diagrams of quasi two-dimensional organic superconductors display a plethora of fundamental phenomena associated with strong electron correlations, such as unconventional superconductivity, metal-insulator transitions, frustrated…

Strongly Correlated Electrons · Physics 2024-10-01 Henri Menke , Marcel Klett , Kazushi Kanoda , Antoine Georges , Michel Ferrero , Thomas Schäfer

Superconductivity in strongly correlated electrons can emerge out from a normal state that is beyond the Landau's Fermi liquid paradigm, often dubbed as "non-Fermi liquid". While the theory for non-Fermi liquid is still not yet conclusive,…

Superconductivity · Physics 2022-10-20 Yu Li , Vivek Mishra , Yi Zhou , Fu-Chun Zhang

We study the relationship between the pseudogap and Fermi-surface topology in the two-dimensional Hubbard model by means of the cellular dynamical mean-field theory. We find two possible mean-field metallic solutions on a broad range of…

Strongly Correlated Electrons · Physics 2018-02-12 Helena Braganca , Shiro Sakai , M. C. O. Aguiar , Marcello Civelli

The fermionic Hubbard model (FHM)[1], despite its simple form, captures essential features of strongly correlated electron physics. Ultracold fermions in optical lattices[2, 3] provide a clean and well-controlled platform for simulating…

A system of one-dimensional electrons interacting via a short-range potential described by Hubbard model is considered in the regime of strong coupling using the Bethe ansatz approach. We study its momentum distribution function at zero…

Strongly Correlated Electrons · Physics 2022-03-31 O. Tsyplyatyev

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

Quantum materials featuring both itinerant and localized degrees of freedom exhibit numerous exotic phases and transitions that deviate from the Ginzburg-Landau paradigm. This work uses the composite operator formalism to examine the…

Strongly Correlated Electrons · Physics 2025-01-09 Emile Pangburn , Louis Haurie , Sébastien Burdin , Catherine Pépin , Anurag Banerjee

In periodic systems of interacting electrons, Fermi and Luttinger surfaces refer to the locations within the Brillouin zone of poles and zeros, respectively, of the single-particle Green's function at zero energy and temperature. Such…

Strongly Correlated Electrons · Physics 2021-10-04 Michele Fabrizio

We discuss the mechanisms of unconventional superconductivity and superfluidity in 3D and 2D fermionic systems with purely repulsive interaction at low densities. We construct phase diagrams of these systems and find the areas of the…

Superconductivity · Physics 2015-11-13 M. Yu. Kagan , V. A. Mitskan , M. M. Korovushkin

Employing a combination of functional renormalization group calculations and projective determinantal quantum Monte Carlo simulations, we examine the Hubbard model on the square lattice bilayer at half filling. From this combined analysis,…

Strongly Correlated Electrons · Physics 2014-11-25 Michael Golor , Timo Reckling , Laura Classen , Michael M. Scherer , Stefan Wessel

One of the most puzzling aspects of the high $T_c$ superconductors is the appearance of Fermi arcs in the normal state of the underdoped cuprate materials. These are loci of low energy excitations covering part of the fermi surface, that…

Superconductivity · Physics 2015-05-13 Erez Berg , Ehud Altman

We apply a small magnetic field to strongly interacting matter with a gravity dual description as an electron star. These systems are both metallic and quantum critical at low energies. The resulting quantum oscillations are shown to be of…

High Energy Physics - Theory · Physics 2015-03-17 Sean A. Hartnoll , Diego M. Hofman , Alireza Tavanfar

The equation for the electron Green's function of the fermionic Hubbard model, derived using the strong coupling diagram technique, is solved self-consistently for the near-neighbor form of the kinetic energy and for half-filling. In this…

Strongly Correlated Electrons · Physics 2015-06-11 A. Sherman

We present a theoretical approach to describing the Mott transition of electrons on a two dimensional lattice that begins with the low energy effective theory of the Fermi liquid. The approach to the Mott transition must be characterized by…

Strongly Correlated Electrons · Physics 2012-01-25 David F. Mross , T. Senthil

The ground state of the Hubbard model is studied within the single-site approximation (SSA) and beyond the SSA. Within the SSA, the ground state is a typical Mott insulator at the critical point n=1 and U/W=+infty, with n being the electron…

Strongly Correlated Electrons · Physics 2007-05-23 Fusayoshi J. Ohkawa

We extend the analysis of the renormalization group flow in the two-dimensional Hubbard model close to half-filling using the recently developed temperature flow formalism. We investigate the interplay of d-density wave and Fermi surface…

Strongly Correlated Electrons · Physics 2009-11-07 C. Honerkamp , M. Salmhofer , T. M. Rice

We derive the one-loop renormalization equations for the shift in the Fermi-wavevectors for one-dimensional interacting models with four Fermi-points (two left and two right movers) and two Fermi velocities v_1 and v_2. We find the shift to…

Condensed Matter · Physics 2009-11-07 Kim Louis , J. V. Alvarez , Claudius Gros