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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

We formulate a momentum-shell renormalization group (RG) procedure that can be used in theories containing both bosons and fermions with a Fermi surface. We focus on boson-fermion couplings that are nearly forward-scattering, {\it i.e.}…

Strongly Correlated Electrons · Physics 2014-11-20 Seiji J. Yamamoto , Qimiao Si

We present a general method to study weak-coupling instabilities of a large class of interacting electron models in a controlled and unbiased way. Quite generally, the electron gas is unstable towards a superconducting state even in the…

Strongly Correlated Electrons · Physics 2009-11-10 B. Binz , D. Baeriswyl , B. Doucot

Functional renormalization group (FRG) is an exact method for taking into account the effect of quantum fluctuations in the effective action of the system. The FRG method applied to effective theories of nuclear matter yields equation of…

High Energy Physics - Phenomenology · Physics 2022-12-01 Péter Pósfay , Gergely Gábor Barnaföldi , Antal Jakovác

We propose a new parametrization of the four-point vertex function in the one-loop one-particle irreducible renormalization group (RG) scheme for fermions. It is based on a decomposition of the effective two-fermion interaction into fermion…

Strongly Correlated Electrons · Physics 2013-05-29 Christoph Husemann , Manfred Salmhofer

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 combine two non-perturbative approaches, one based on the two-particle-irreducible (2PI) action, the other on the functional renormalization group (fRG), in an effort to develop new non-perturbative approximations for the field…

High Energy Physics - Theory · Physics 2021-07-14 Jean-Paul Blaizot , Jan M. Pawlowski , Urko Reinosa

We generalize the recently introduced single-boson exchange formalism to nonlocal interactions. In the functional renormalization group application to the extended Hubbard model in two dimensions, we show that the flow of the rest function…

Strongly Correlated Electrons · Physics 2024-12-11 Aiman Al-Eryani , Sarah Heinzelmann , Kilian Fraboulet , Friedrich Krien , Sabine Andergassen

The Similarity Renormalization Group (SRG) is investigated as a powerful yet practical method to modify nuclear potentials so as to reduce computational requirements for calculations of observables. The key feature of SRG transformations…

Nuclear Theory · Physics 2009-12-16 E. D. Jurgenson

We show that the renormalization group (RG) approach to interacting fermions at one-loop order recovers Fermi liquid theory results when the forward scattering zero sound (ZS) and exchange (ZS$'$) channels are both taken into account. The…

Condensed Matter · Physics 2009-10-28 N. Dupuis , G. Chitov

Using the density matrix renormalization group algorithm, we study the model of spinless fermions with nearest-neighbor interaction on a ring in the presence of disorder. We determine the spatial decay of the density induced by a defect…

Condensed Matter · Physics 2009-10-28 P. Schmitteckert , U. Eckern

We study non conventional superconductivity on a ladder, improving the predictions of the Hubbard model. The determination of the Fermi surface, in 2 or 3 dimensions, remains a very hard task, but it is exactly solvable for a single ladder.…

Strongly Correlated Electrons · Physics 2016-08-14 Gilles Abramovici , Michel Héritier

We study the low-energy properties of a Hubbard chain of finite size N_C connected to two noninteracting leads using the numerical renormalization group (NRG) method. The results obtained for N_C = 3 and 4 show that the low-lying…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Akira Oguri , A. C. Hewson

Renormalization group calculations are used to give exact solutions for rigidity percolation on hierarchical lattices. Algebraic scaling transformations for a simple example in two dimensions produce a transition of second order, with an…

Statistical Mechanics · Physics 2011-07-26 R. B. Stinchcombe , M. F Thorpe

Renormalization group methods are well-established tools for the (numerical) investigation of the low-energy properties of correlated quantum many-body systems, allowing to capture their scale-dependent nature. The functional…

Strongly Correlated Electrons · Physics 2022-06-09 Dominik Kiese , Tobias Mueller , Yasir Iqbal , Ronny Thomale , Simon Trebst

The possibility of an unconventional form of high temperature superconductivity in flat band (FB) material does not cease to challenge our understanding of the physics in correlated systems. Here, we calculate the normal and anomalous…

Superconductivity · Physics 2025-01-22 Maxime Thumin , Georges Bouzerar

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

We develop a thorough theoretical framework based on the nonperturvative renormalization group (RG) a la Wetterich to tackle the interplay of coupled fermionic and order-parameter fluctuations at metallic quantum critical points with…

Strongly Correlated Electrons · Physics 2025-05-16 Mateusz Homenda , Pawel Jakubczyk , Hiroyuki Yamase

We study the scaling behaviors of the active model B+ using the functional renormalization group (FRG) approach, based on the nonequilibrium effective action formulated via the Martin-Siggia-Rose path-integral formalism. We derive the…

Statistical Mechanics · Physics 2026-01-28 Gergely Fejős , Zsolt Szép , Naoki Yamamoto

We study thermally activated, low temperature equilibrium dynamics of elastic systems pinned by disorder using one loop functional renormalization group (FRG). Through a series of increasingly complete approximations, we investigate how the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Leon Balents , Pierre Le Doussal