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Inspired by the superblock method of White, we introduce a simple modification of the standard Renormalization Group (RG) technique for the study of quantum lattice systems. Our method which takes into account the effect of Boundary…

Statistical Mechanics · Physics 2009-10-28 A. Langari , V. Karimipour

In a recent contribution [arXiv:0904:4151] entanglement renormalization was generalized to fermionic lattice systems in two spatial dimensions. Entanglement renormalization is a real-space coarse-graining transformation for lattice systems…

Strongly Correlated Electrons · Physics 2015-05-13 Philippe Corboz , Guifre Vidal

We study the renormalization of the Fermi surface coupled to a massless boson near three spatial dimensions. For this, we set up a Wilsonian RG with independent decimation procedures for bosons and fermions, where the four-fermion…

Strongly Correlated Electrons · Physics 2015-06-03 A. Liam Fitzpatrick , Gonzalo Torroba , Huajia Wang

The self-consistent random phase approximation (RPA) approach with the residual interaction derived from a relativistic point-coupling energy functional is applied to evaluate the isospin symmetry-breaking corrections {\delta}c for the…

Nuclear Theory · Physics 2015-03-19 Z. X. Li , J. M. Yao , H. Chen

A renormalization group (RG) analysis of the superconductive instability of an anisotropic fermionic system is developed at a finite temperature. The method appears a natural generalization of Shankar's approach to interacting fermions and…

Condensed Matter · Physics 2009-10-28 Fabio Siringo , Giuseppe G. N. Angilella , Renato Pucci

Considering the recent advances, the weak correlation between the massive Kalb-Ramond and the Proca interacting models is investigated by means of a set of complementary quantum field techniques beyond the semi-classical approach. A…

High Energy Physics - Theory · Physics 2024-03-14 G. B. de Gracia

We apply a recently proposed path-integral approach to non-local bosonization to a Thirring-like system modeling non-relativistic massless particles interacting with localized fermionic impurities. We consider forward scattering processes…

High Energy Physics - Theory · Physics 2009-10-30 C. M. Naon , M. C. von Reichenbach , M. L. Trobo

We present a new tensor network algorithm for calculating the partition function of interacting quantum field theories in 2 dimensions. It is based on the Tensor Renormalization Group (TRG) protocol, adapted to operate entirely at the level…

Quantum Physics · Physics 2021-11-24 Manuel Campos , German Sierra , Esperanza Lopez

Applying the Fermi-Bose equivalence and the boundary state formulation, we study the hetero-junction of two quantum wires. Two quantum wires are described by Tomonaga-Luttinger (TL) liquids with different TL parameters and electrons…

Strongly Correlated Electrons · Physics 2016-09-21 Taejin Lee

Electron transport in a quantum wire with leads is investigated with actual Coulomb interaction taken into account. The latter includes both the direct interaction of electrons with each other and their interaction via the image charges…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. A. Sablikov , B. S. Shchamkhalova

We generalize the fermionic renormalization group method to describe analytically transport through a double barrier structure in a one-dimensional system. Focusing on the case of weakly interacting electrons, we investigate thoroughly the…

Strongly Correlated Electrons · Physics 2009-11-07 D. G. Polyakov , I. V. Gornyi

We study the emergence of bosonic pairs in a system of two coupled one-dimensional fermionic chains subject to a gauge flux (two-leg flux ladder), with both attractive and repulsive interaction. In the presence of strong attractive…

Strongly Correlated Electrons · Physics 2020-01-01 Marcello Calvanese Strinati , Richard Berkovits , Efrat Shimshoni

We examine the effect of interactions between the electrons on the conductances of some systems of quantum wires with different geometries. The systems include a wire with a stub in the middle, a wire containing a ring which can enclose a…

Strongly Correlated Electrons · Physics 2007-12-03 Sourin Das , Sumathi Rao , Diptiman Sen

We present a simple method, combining the density-matrix renormalization-group (DMRG) algorithm with finite-size scaling, which permits the study of critical behavior in quantum spin chains. Spin moments and dimerization are induced by…

Strongly Correlated Electrons · Physics 2009-10-31 Shan-Wen Tsai , J. B. Marston

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 a pseudogap region of the mixed boson fermion system using a recent formulation of the renormalization group technique through the set of infinitesimal unitary transformations. Renormalization of fermion energies gives rise to a…

Superconductivity · Physics 2016-08-31 T. Domanski , J. Ranninger

We propose new approach for treatment of local and non-local interactions in correlated electronic systems, which uses self-energy and the two-particle irreducible vertices, obtained from (extended) dynamical mean-field theory, as an input…

Strongly Correlated Electrons · Physics 2019-03-12 A. A. Katanin

Linear response theory for the density matrix renormalization group (DMRG-LRT) was first presented in terms of the DMRG renormalization projectors [Dorando et al., J. Chem. Phys. 130, 184111 (2009)]. Later, with an understanding of the…

Strongly Correlated Electrons · Physics 2014-02-25 Naoki Nakatani , Sebastian Wouters , Dimitri Van Neck , Garnet Kin-Lic Chan

We study transport through a one-dimensional quantum wire of correlated fermions connected to semi-infinite leads. The wire contains either a single impurity or two barriers, the latter allowing for resonant tunneling. In the leads the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. Enss , V. Meden , S. Andergassen , X. Barnabe-Theriault , W. Metzner , K. Schoenhammer

One-dimensional atomic mixtures of fermions can effectively realize spin chains and thus constitute a clean and controllable platform to study quantum magnetism. Such strongly correlated quantum systems are also of sustained interest to…

Quantum Physics · Physics 2020-04-29 Jean Decamp , Jiangbin Gong , Huanqian Loh , Christian Miniatura