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We calculate the linear response conductance of electrons in a Luttinger liquid with arbitrary interaction g_2, and subject to a potential barrier of arbitrary strength, as a function of temperature. We map the Hamiltonian in the basis of…

Strongly Correlated Electrons · Physics 2009-07-14 D. N. Aristov , P. Woelfle

Demanding a consistent quantum field theory description of spin 1/2 particles near a circular Fermi surface in 2d leads to a unique fermionic theory with relevant quartic interactions which has an emergent Lorentz symmetry and automatically…

Strongly Correlated Electrons · Physics 2009-09-29 Eliot Kapit , André LeClair

We formulate a wilsonian renormalization group theory for the imbalanced Fermi gas. The theory is able to recover quantitatively well-established results in both the weak-coupling and the strong-coupling (unitarity) limit. We determine for…

Statistical Mechanics · Physics 2009-11-13 K. B. Gubbels , H. T. C. Stoof

We analyze the particle-hole symmetric two-dimensional Hubbard model on a square lattice starting from weak-to-moderate couplings by means of the field-theoretical renormalization group (RG) approach up to two-loop order. This method is…

Strongly Correlated Electrons · Physics 2009-11-13 Hermann Freire , Eberth Correa , Alvaro Ferraz

The crossover from fluctuating atomic constituents to a collective state as one lowers temperature or energy is at the heart of the dynamical mean-field theory description of the solid state. We demonstrate that the numerical…

Strongly Correlated Electrons · Physics 2020-01-08 Fabian B. Kugler , Manuel Zingl , Hugo U. R. Strand , Seung-Sup B. Lee , Jan von Delft , Antoine Georges

We present a systematic weak-coupling renormalization group (RG) technique for studying a collection of $N$ coupled one-dimensional interacting electron systems, focusing on the example of N-leg Hubbard ladders. For $N=2,3$, we recover…

Strongly Correlated Electrons · Physics 2009-10-30 Hsiu-Hau Lin , Leon Balents , Matthew P. A. Fisher

In frustrated magnetism, making a stringent connection between microscopic spin models and macroscopic properties of spin liquids remains an important challenge. A recent step towards this goal has been the development of the pseudofermion…

Strongly Correlated Electrons · Physics 2018-02-21 Dietrich Roscher , Finn Lasse Buessen , Michael M. Scherer , Simon Trebst , Sebastian Diehl

We study the phase diagram of the Hubbard model in the limit where U, the onsite repulsive interaction, is much smaller than the bandwidth. We present an asymptotically exact expression for T$_c$, the superconducting transition temperature,…

Superconductivity · Physics 2010-10-19 S. Raghu , S. A. Kivelson , D. J. Scalapino

We apply the finite-temperature renormalization-group (RG) to a model based on an effective action with a short-range repulsive interaction and a rotation invariant Fermi surface. The basic quantities of Fermi liquid theory, the Landau…

Strongly Correlated Electrons · Physics 2009-10-30 Guennady Y. Chitov , D. Senechal

The Thermal Renormalization Group can be employed to study the dynamics of $T\neq 0$ Quantum Field Theories close to second order phase transitions, where neither resummed perturbation theory nor first principle lattice simulations can be…

High Energy Physics - Phenomenology · Physics 2009-09-25 Massimo Pietroni

First-order phase transitions in many-fermion systems are not detected in the susceptibility analysis of common renormalization-group (RG) approaches. Here we introduce a counterterm technique within the functional renormalization-group…

Strongly Correlated Electrons · Physics 2007-05-23 R. Gersch , J. Reiss , C. Honerkamp

The renormalization group (RG) equation in the self-consistent local potential approximation (SC-LPA) suggested earlier for the description of continuous phase transitions in lattice models of the Landau-Ginzburg type has been applied to…

Statistical Mechanics · Physics 2021-03-24 V. I. Tokar

We study thermal conductivity in the disordered two-dimensional electron liquid in the presence of long-range Coulomb interactions. We describe a microscopic analysis of the problem using as a starting point the partition function defined…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 G. Schwiete , A. M. Finkel'stein

This talk reviews progress in the (semi-) analytic calculations of the thermodynamics of the quark-gluon plasma. I shall explain how weak coupling techniques can allow us, through appropriate resummations, to deal with particular non…

High Energy Physics - Phenomenology · Physics 2011-07-14 Jean-Paul Blaizot

In our previous work [Phys. Rev. E 104, 014124 (2021)], we developed a method for analyzing classical liquids using the functional renormalization group (FRG) without relying on a hard-core reference system. In this paper, we extend this…

Soft Condensed Matter · Physics 2026-03-11 Takeru Yokota , Jun Haruyama , Osamu Sugino

We study the non-Fermi-liquid state formed by an isotropic, degenerate Fermi gas in two spatial dimensions interacting with a U(1) gauge field. Our calculation uses the functional renormalization group (fRG) with a soft frequency cutoff for…

Strongly Correlated Electrons · Physics 2024-11-28 Thomas P. Sheerin , Chris A. Hooley

Various aspects of the Exact Renormalization Group (ERG) are explored, starting with a review of the concepts underpinning the framework and the circumstances under which it is expected to be useful. A particular emphasis is placed on the…

High Energy Physics - Theory · Physics 2012-02-17 Oliver J. Rosten

We generalize our recently developed super-field functional renormalization group (RG) method involving both Fermi and Bose fields [F. Schuetz, L. Bartosch, and P. Kopietz, Phys. Rev. B 72, 035105 (2005)] to include the possibility that…

Strongly Correlated Electrons · Physics 2007-05-23 Florian Schuetz , Peter Kopietz

We derive a supersymmetric renormalization group (RG) equation for the scale-dependent superpotential of the supersymmetric O(N) model in three dimensions. For a supersymmetric optimized regulator function we solve the RG equation for the…

High Energy Physics - Theory · Physics 2013-05-29 Daniel F. Litim , Marianne C. Mastaler , Franziska Synatschke-Czerwonka , Andreas Wipf

We extend the Hertz-Millis theory of quantum phase transitions in itinerant electron systems to phases with broken discrete symmetry. Using a set of coupled flow equations derived within the functional renormalization group framework, we…

Strongly Correlated Electrons · Physics 2009-11-13 P. Jakubczyk , P. Strack , A. A. Katanin , W. Metzner
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