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The observations of quantum oscillations in overdoped cuprate superconductors were in agreement with a charge density contained in a cylindrical Fermi surface but the frequencies of lightly doped compounds were much smaller than expected.…

Superconductivity · Physics 2022-08-02 E. V. L. de Mello

Correlated electron systems may give rise to multiple effective interactions whose combined impact on quasiparticle properties can be difficult to disentangle. We introduce an unambiguous decomposition of the electronic self-energy which…

Strongly Correlated Electrons · Physics 2025-07-11 Yang Yu , Sergei Iskakov , Emanuel Gull , Karsten Held , Friedrich Krien

We find Marginal Fermi Liquid (MFL) like behavior in the Hubbard model on a square lattice for a range of hole doping and on-site interaction parameter U. Thereby we use a self-consistent projection operator method. It enables us to compute…

Strongly Correlated Electrons · Physics 2009-11-11 Y. Kakehashi , P. Fulde

We analyze the anomalies of superconducting state (s and d-wave pairing) in a simple model of pseudogap state, induced by fluctuations of short - range order (e.g. antiferromagnetic), based on the model Fermi surface with "hot patches". We…

Superconductivity · Physics 2009-10-31 E. Z. Kuchinskii , M. V. Sadovskii

We study pseudogap phenomena and Fermi-arc formation experimentally observed in typical two dimensional doped Mott insulators, namely, underdoped cuprate superconductors. To develop a physically unequivocal theory, we start from the…

Strongly Correlated Electrons · Physics 2011-11-17 Youhei Yamaji , Masatoshi Imada

We analyze the anomalies of superconducting state within a simple exactly solvable model of the pseudogap state, induced by fluctuations of ``dielectric'' short range order, for the model of the Fermi surface with ``hot'' patches. The…

Superconductivity · Physics 2009-11-07 E. Z. Kuchinskii , M. V. Sadovskii

With particular reference to the role of the renormalization group approach and Ward identities, we start by recalling some old features of the one-dimensional Luttinger liquid as the prototype of non-Fermi-liquid behavior. Its dimensional…

Strongly Correlated Electrons · Physics 2015-06-05 C. Di Castro , S. Caprara

The interplay of interactions and disorder in two-dimensional (2D) electron systems has actively been studied for decades. The paradigmatic approach involves starting with a clean Fermi liquid and perturbing the system with both disorder…

Strongly Correlated Electrons · Physics 2020-12-29 P. A. Nosov , I. S. Burmistrov , S. Raghu

The failure of Landau-Fermi liquid theory is often considered a telltale sign of universal, scale-invariant behavior in the emergent field theory of interacting fermions. Nevertheless, there exist borderline cases where weak scale…

Strongly Correlated Electrons · Physics 2020-08-19 Joshuah T. Heath

The physical origin of cuprate high-temperature superconductor pseudogaps remains debatable. We point out that the indication of such excitation is hidden in the usual expression for the quasiparticle energy. It can be realized on a…

Superconductivity · Physics 2007-05-23 N. Kristoffel

Presenting exact solutions for the two dimensional periodic Anderson model with finite and nonzero on-site interaction U>0, we are describing a rigorous non-Fermi liquid phase in normal phase and 2D. This new state emerges in multi-band…

Strongly Correlated Electrons · Physics 2009-11-07 Peter Gurin , Zsolt Gulacsi

While multiband systems are usually considered for flat-band physics, here we study one-band models that have flat portions in the dispersion to explore correlation effects in the 2D repulsive Hubbard model in an intermediate coupling…

We study theoretically the properties of the interacting Dirac liquid, a novel three-dimensional many-body system which was recently experimentally realized and in which the electrons have a chiral linear relativistic dispersion and a…

Mesoscale and Nanoscale Physics · Physics 2015-07-07 Johannes Hofmann , Edwin Barnes , S. Das Sarma

Fermi liquid theory is used to generate the Ginzburg-Landau free energy functionals for unconventional superconductors belonging to various representations. The parameters defining the GL functional depend on Fermi surface anisotropy,…

Superconductivity · Physics 2024-06-11 J. A. Sauls

Developing a theoretical framework for conducting electronic fluids qualitatively distinct from those described by Landau's Fermi-liquid theory is of central importance to many outstanding problems in condensed matter physics. One such…

An intense investigation of possible non-Fermi liquid states of matter has been inspired by two of the most intriguing phenomena discovered in the past quarter century, namely high temperature superconductivity and the fractional quantum…

Strongly Correlated Electrons · Physics 2015-05-13 J. K. Jain , P. W. Anderson

A full, nonperturbative renormalization group analysis of interacting electrons in a graphite layer is performed, in order to investigate the deviations from Fermi liquid theory that have been observed in the experimental measures of a…

Strongly Correlated Electrons · Physics 2009-10-31 J. Gonzalez , F. Guinea , M. A. H. Vozmediano

An introductory survey of the theoretical ideas and calculations and the experimental results which depart from Landau Fermi-liquids is presented. Common themes and possible routes to the singularities leading to the breakdown of Landau…

Strongly Correlated Electrons · Physics 2009-11-07 C. M. Varma , Z. Nussinov , W. van Saarloos

In the correlated electron system with the pseudogap, there are full-gapped domains and Fermi-arced domains coexisting. Those domains are created by the quantum-fluctuated antiferromagnetic fluctuations that generate the short-ranged…

Strongly Correlated Electrons · Physics 2018-09-07 Chyh-Hong Chern

Pseudogap is a ubiquitous phenomenon in strongly correlated systems such as high-$T_{\rm c}$ superconductors, ultracold atoms and nuclear physics. While pairing fluctuations inducing the pseudogap are known to be enhanced in low-dimensional…

Quantum Gases · Physics 2020-09-23 Hiroyuki Tajima , Shoichiro Tsutsui , Takahiro M. Doi