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We consider the field renormalization group (RG) of two coupled one-spatial dimension (1D) spinless fermion chains under intraforward, interforward, interbackscattering and interumklapp interactions until two-loops order. Up to this order,…

Strongly Correlated Electrons · Physics 2014-02-04 Thiago Prudêncio

We implement an explicit two-loop calculation of the coupling functions and the self-energy of interacting fermions with a two-dimensional flat Fermi surface in the framework of the field theoretical renormalization group (RG) approach.…

Strongly Correlated Electrons · Physics 2009-11-10 H. Freire , E. Correa , A. Ferraz

We present a functional renormalization group analysis of a quantum critical point in two-dimensional metals involving Fermi surface reconstruction due to the onset of spin-density wave order. Its critical theory is controlled by a fixed…

Strongly Correlated Electrons · Physics 2013-01-10 Junhyun Lee , Philipp Strack , Subir Sachdev

We consider serious conceptual problems with the application of standard perturbation theory, in its zero temperature version, to the computation of the dressed Fermi surface for an interacting electronic system. In order to overcome these…

Strongly Correlated Electrons · Physics 2007-05-23 S. Dusuel , B. Doucot

We discuss the renormalization induced by interactions of a two-dimensional truncated Fermi surface (FS) model.Using a field theoretical renormalization group method we calculate the critical renormalized physical chemical potential. We…

Strongly Correlated Electrons · Physics 2009-11-07 A. Ferraz

Using a non-perturbative functional renormalization group approach involving both fermionic and bosonic fields we calculate the interaction-induced change of the Fermi surface of spinless fermions moving on two chains connected by weak…

Strongly Correlated Electrons · Physics 2007-05-23 Sascha Ledowski , Peter Kopietz

We study a two-dimensional Fermi liquid with a Fermi surface containing the saddle points $(\pi,0)$ and $(0,\pi)$. Including Cooper and Peierls channel contributions leads to a one-loop renormalization group flow to strong coupling for…

Strongly Correlated Electrons · Physics 2009-10-31 Nobuo Furukawa , Manfred Salmhofer , T. M. Rice

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

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 present an intermediate coupling scenario together with a model analytic solution where the non-Fermi-liquid behavior in the underdoped cuprates emerges through the mechanism of Fermi surface (FS) reconstruction. Even though the…

Superconductivity · Physics 2010-05-18 Tanmoy Das , R. S. Markiewicz , A. Bansil

Infrared divergences from the exchange of dynamically screened magnetic gluons (photons) lead to the breakdown of the Fermi liquid description of the {\em normal} state of cold and dense QCD and QED. We implement a resummation of these…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Boyanovsky , H. J. de Vega

We describe two dimensional models with a metallic Fermi surface which display quantum phase transitions controlled by strongly interacting critical field theories below their upper critical dimension. The primary examples involve…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev , Takao Morinari

We present a functional renormalization group calculation of the effect of strong interactions on the shape of the Fermi surface of weakly coupled metallic chains. In the regime where the bare interchain hopping is small, we show that…

Strongly Correlated Electrons · Physics 2007-09-27 Sascha Ledowski , Peter Kopietz

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

We present a renormalization group analysis of two-dimensional interacting fermion systems with a closed and partially flat Fermi surface. Numerical solutions of the one-loop flow equations show that for a bare local repulsion, the system…

Strongly Correlated Electrons · Physics 2009-11-07 S. Dusuel , F. Vistulo de Abreu , B. Doucot

A simple effective model for the intermediate-density regime is constructed from the high-density effective theory of quantum chromodynamics (QCD). In the effective model, under a renormalization-group (RG) scaling towards low momenta, the…

Nuclear Theory · Physics 2024-07-19 Kie Sang Jeong , Fabrizio Murgana , Ashutosh Dash , Dirk H. Rischke

Deconfined quantum critical points (DQCP) have attracted lots of attentions in the past decades, but were mainly restricted to incompressible phases. On the other hand, various experimental puzzles call for new theory of unconventional…

Strongly Correlated Electrons · Physics 2024-07-15 Xiaofan Wu , Hui Yang , Ya-Hui Zhang

We construct entanglement renormalization schemes which provably approximate the ground states of non-interacting fermion nearest-neighbor hopping Hamiltonians on the one-dimensional discrete line and the two-dimensional square lattice.…

We review the rigorous work on many Fermions models which lead to the first constructions of interacting Fermi liquids in two dimensions, and allowed to prove that there are different scaling regimes in two dimensions, depending on the…

Mathematical Physics · Physics 2011-02-28 Vincent Rivasseau

In quantum chromodynamics with static quarks the confinement-deconfinement phase transition is connected to the spontaneous breaking of the global Z3 center symmetry. This symmetry is lost when one considers dynamical quarks. Owing to the…

High Energy Physics - Lattice · Physics 2013-11-18 Philipp Scior , Sam R. Edwards , Lorenz von Smekal
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