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We compare two fermionic renormalization group methods which have been used to investigate the electronic transport properties of one-dimensional metals with two-particle interaction (Luttinger liquids) and local inhomogeneities. The first…

Strongly Correlated Electrons · Physics 2008-05-02 V. Meden , S. Andergassen , T. Enss , H. Schoeller , K. Schoenhammer

Luttinger's contributions abound in different parts of many-body physics. Here I review the ones that appear when one uses the Renormalization Group (RG) to study the subject: the Luttinger Liquid, Luttinger's Theorem (on the volume of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. Shankar

We develop an asymptotically exact renormalization group (RG) approach that treats electron-electron and electron-phonon interactions on equal footing. The approach allows an unbiased study of the instabilities of Fermi liquids without the…

Superconductivity · Physics 2007-05-23 S. -W. Tsai , A. H. Castro Neto , R. Shankar , D. K. Campbell

We study the relations between two different approaches to the holographic Renormalization Group (RG) flow at the dual gravity level: One is the radial evolution of the classical equation of motion and the other is the flow equation given…

High Energy Physics - Theory · Physics 2011-05-10 Sang-Jin Sin , Yang Zhou

We address the problem of the Fermi surface renormalization and the quantum confinement regime (QCR) in the two coupled chains model(TCCM) of spinless fermions. We perform a self-consistent calculation of the renormalization group(RG) flows…

Strongly Correlated Electrons · Physics 2014-03-11 Eberth Correa , Alvaro Ferraz

New qualitative picture of vortex length-scale dependence has been found in recent electrical transport measurements performed on strongly anisotropic BSCCO single crystals in zero magnetic field. This indicates the need for a better…

High Energy Physics - Theory · Physics 2009-11-11 I. Nandori , K. Sailer

Salmhofer [Commun. Math. Phys. 194, 249 (1998)] has recently developed a new renormalization group method for interacting Fermi systems, where the complete flow from the bare action of a microscopic model to the effective low-energy action,…

Strongly Correlated Electrons · Physics 2009-10-31 Christoph J. Halboth , Walter Metzner

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 first map the Hamiltonian in the…

Strongly Correlated Electrons · Physics 2008-04-18 D. N. Aristov , P. Woelfle

Randomly connected tensor networks (RCTN) are the dynamical systems defined by summing over all the possible networks of tensors. Because of the absence of fixed lattice structure, RCTN is not expected to have renormalization procedures. In…

High Energy Physics - Theory · Physics 2025-04-11 Naoki Sasakura

We set up the Functional Renormalisation Group formalism for Tensorial Group Field Theory in full generality. We then apply it to a rank-3 model over U(1) x U(1) x U(1), endowed with a linear kinetic term and nonlocal interactions. The…

High Energy Physics - Theory · Physics 2015-07-09 Dario Benedetti , Joseph Ben Geloun , Daniele Oriti

We consider a model inspired by a metal break-junction hypothetically caught at its breaking point, where the non-adiabatic center-of-mass motion of the bridging atom can be treated as a two-level system. By means of Numerical…

Strongly Correlated Electrons · Physics 2009-11-13 P. Lucignano , G. E. Santoro , M. Fabrizio , E. Tosatti

We analyse the antiferromagnetic spin-$1/2$ XXZ model on the kagome lattice at finite external magnetic field with the help of a nonperturbative zero-temperature renormalization group (RG) technique. Following the work of Kumar \emph{et al}…

Strongly Correlated Electrons · Physics 2019-09-30 Santanu Pal , Anirban Mukherjee , Siddhartha Lal

We present a renormalization group (RG) analysis of a fermionic "hot spot" model of interacting electrons on the square lattice. We truncate the Fermi surface excitations to linearly dispersing quasiparticles in the vicinity of eight hot…

Superconductivity · Physics 2014-09-17 Seth Whitsitt , Subir Sachdev

Different phenomenological RG transformations based on scaling relations for the derivatives of the inverse correlation length and singular part of the free-energy density are considered. These transformations are tested on the 2D square…

High Energy Physics - Lattice · Physics 2015-06-25 M. A. Yurishchev

We write a Renormalization Group (RG) equation for the function f in a theory of gravity in the f(R) truncation. Our equation differs from previous ones due to the exponential parametrization of the quantum fluctuations and to the choice of…

High Energy Physics - Theory · Physics 2015-09-16 Nobuyoshi Ohta , Roberto Percacci , Gian Paolo Vacca

We investigate the renormalization group (RG) flow of SU(3) lattice gauge theory in a two coupling space with couplings $\beta_{11}$ and $\beta_{12}$ corresponding to $1\times 1$ and $1\times 2$ loops respectively. Extensive numerical…

We introduce a strong-disorder renormalization group (RG) approach suitable for investigating the quasiparticle excitations of disordered superconductors in which the quasiparticle spin is not conserved. We analyze one-dimensional models…

Superconductivity · Physics 2009-10-31 Olexei Motrunich , Kedar Damle , David A. Huse

A formalism based on the fermionic functional-renormalization-group approach to interacting electron models defined on a lattice is presented. One-loop flow equations for the coupling constants and susceptibilities in the particle-particle…

Strongly Correlated Electrons · Physics 2024-08-21 Lucas Désoppi , Nicolas Dupuis , Claude Bourbonnais

We study the low-energy physics of the critical (2+1)-dimensional random transverse-field Ising model. The one-dimensional version of the model is a paradigmatic example of a system governed by an infinite-randomness fixed point, for which…

Statistical Mechanics · Physics 2023-11-21 Akshat Pandey , Aditya Mahadevan , Aditya Cowsik

The RG-2 flow is the two-loop approximation for the world-sheet non-linear sigma model renormalization group flow. The first truncation of the flow is the well known Ricci flow, at two loops higher order curvature terms appear, changing…

General Relativity and Quantum Cosmology · Physics 2019-03-12 Oscar Lasso Andino