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In this paper we propose a new way of organizing many-body perturbation theory in the Path-integral formulation where a set of quasi-particle wave-functionals $\psi$'s are introduced and are identified with quasi-particles in Landau Fermi…

Condensed Matter · Physics 2007-05-23 Tai-Kai Ng

Landau's quasiparticle formalism is generalized to describe a wide class of strongly correlated Fermi systems, in addition to conventional Fermi liquids. This class includes (i) so-called marginal exemplars and (ii) systems that harbor…

Strongly Correlated Electrons · Physics 2024-03-12 V. A. Khodel , J. W. Clark , M. V. Zverev

We introduce a very simple and exactly solvable model that supports Fermi arcs in its ground state and excitation spectrum. These arcs come in pairs, and merge into what we call a pseudo Fermi surface along which fermions are gapped; this…

Strongly Correlated Electrons · Physics 2021-02-01 Kun Yang

We consider a model composed of Landau quasiparticle states with patched Fermi surfaces (FS) sandwiched by states with flat FS to simulate the ``cold'' spot regions in cuprates. We calculate the one particle irreducible function and the…

Superconductivity · Physics 2019-08-17 A. Ferraz , T. Saikawa , Z. Y. Weng

In the present work, we implement an explicit two-loop renormalization of a two-dimensional flat Fermi surface (FS) in the framework of a field theoretical renormalization group approach (RG). In our scheme, we derive the RG equations for…

Strongly Correlated Electrons · Physics 2007-05-23 H. Freire , E. Correa , A. Ferraz

The quasiparticles in the normal state of cuprate superconductors have been shown to behave universally as a 3-dimensional Fermi liquid. Because of interactions and the presence of the Fermi surfaces (or Fermi energies), the quasiparticle…

Superconductivity · Physics 2023-10-18 Setsuo Misawa

Since the discovery of the pseudogap and Fermi arc states in underdoped cuprates, the understanding of such non-Fermi-liquid states and the associated violation of Luttinger's theorem have been the central theme in correlated electron…

Strongly Correlated Electrons · Physics 2021-04-30 Chuang Chen , Tian Yuan , Yang Qi , Zi Yang Meng

We consider a two dimensional electron system in an external magnetic field at and near an even denominator Landau level filling fraction. Using a fermionic Chern--Simons approach we study the description of the system's low energy…

Condensed Matter · Physics 2009-10-28 Ady Stern , Bertrand I. Halperin

The concept of quantum Fermi liquid for description of (quasi)-1D electronic systems is recovered. The model of (quasi)-1D quantum Fermi liquid is developed on the example of trans-polyacetylene and it is the generalization of well-known…

Strongly Correlated Electrons · Physics 2013-08-09 Alla Dovlatova , Dmitri Yerchuck , Felix Borovik

We present and analyze an exactly solvable interacting fermionic pairing model, which features interactions that entangle states at momenta $\mathbf{k}$ and $-\mathbf{k}$. These interactions give rise to novel correlated ground states,…

Strongly Correlated Electrons · Physics 2026-01-23 Santhosh M , Jorge Dukelsky , Gerardo Ortiz

Strongly correlated Fermi systems are among the most intriguing, best experimentally studied and fundamental systems in physics. There is, however, lack of theoretical understanding in this field of physics. The ideas based on the concepts…

Strongly Correlated Electrons · Physics 2011-11-22 V. R. Shaginyan

An emergent Fermi surface in a Mott insulator, an exotic quantum spin liquid state, was suggested by Anderson in 1987. After a quick support for its existence in spin-half Heisenberg model in a square lattice in a RVB mean field theory,…

Strongly Correlated Electrons · Physics 2009-08-20 G. Baskaran , G. Santhosh , R. Shankar

The problem of deriving from microscopic theory a Ginzburg-Landau free energy functional to describe the Peierls or charge-density-wave transition in quasi-one-dimensional materials is considered. Particular attention is given to how the…

Condensed Matter · Physics 2009-10-28 Ross H. McKenzie

The Fermi liquid theory may provide a good description of the thermodynamic properties of an interacting particle system when the interaction between the particles contributes to the total energy of the system with a quantity which may…

Quantum Gases · Physics 2012-07-19 Dragos-Victor Anghel

The unitary Fermi gas (UFG) is a strongly correlated system of two-species (spin-1/2) fermions with a short-range attractive interaction modeled by a contact interaction and has attracted much interest across different disciplines. The UFG…

Quantum Gases · Physics 2024-08-30 S. Jensen , C. N. Gilbreth , Y. Alhassid

A precursor effect on the Fermi surface in the two-dimensional Hubbard model at finite temperatures near the antiferromagnetic instability is studied using three different itinerant approaches: the second order perturbation theory, the…

Strongly Correlated Electrons · Physics 2009-09-25 Taiichiro Saikawa , Alvaro Ferraz

I attempt to give a pedagogical overview of the progress which has occurred during the past decade in the description of one-dimensional correlated fermions. Fermi liquid theory based on a quasi-particle picture, breaks down in one…

Condensed Matter · Physics 2009-10-28 Johannes Voit

We discuss the properties of quasi-1D quantum gases of fermionic atoms using the Luttinger liquid theory, including the presence of an optical lattice and of a longitudinal trapping potential. We analyze in particular the nature and…

Strongly Correlated Electrons · Physics 2018-03-14 A. Recati , P. O. Fedichev , W. Zwerger , P. Zoller

We propose a model of an electrically charged fermion as a regular localized solution of electromagnetic and spinor fields interacting with a physical vacuum, which is phenomenologically described as a logarithmic superfluid. We…

High Energy Physics - Theory · Physics 2018-07-09 Vladimir Dzhunushaliev , Arislan Makhmudov , Konstantin G. Zloshchastiev

We examine the nature of phase transitions occurring in strongly correlated Fermi systems at the quantum critical point (QCP) associated with a divergent effective mass. Conventional scenarios for the QCP involving collective degrees of…

Strongly Correlated Electrons · Physics 2010-04-20 V. A. Khodel , J. W. Clark , M. V. Zverev