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A one-loop renormalization group (RG) analysis is performed for noncommutative Landau-Ginsburg theory in an arbitrary dimension. We adopt a modern version of the Wilsonian RG approach, in which a shell integration in momentum space bypasses…

高能物理 - 理论 · 物理学 2009-11-07 Guang-Hong Chen , Yong-Shi Wu

We construct exact functional renormalization group (RG) flow equations for non-relativistic fermions in arbitrary dimensions, taking into account not only mode elimination but also the rescaling of the momenta, frequencies and the…

强关联电子 · 物理学 2009-11-07 Peter Kopietz , Tom Busche

A nonconventional renormalization-group (RG) treatment close to and below four dimensions is used to explore, in a unified and systematic way, the low-temperature properties of a wide class of systems in the influence domain of their…

统计力学 · 物理学 2009-11-13 M. T. Mercaldo , L. De Cesare , I. Rabuffo , A. Caramico D'Auria

A formalism for electronic-structure calculations is presented that is based on the functional renormalization group (FRG). The traditional FRG has been formulated for systems that exhibit a translational symmetry with an associated Fermi…

材料科学 · 物理学 2016-10-12 Christian Seiler , Ferdinand Evers

Some recent studies of the AdS/CFT correspondence for condensed matter systems involve the Fermi liquid theory as a boundary field theory. Adding B-flux to the boundary D-branes leads in a certain limit to the noncommutative Fermi liquid,…

高能物理 - 理论 · 物理学 2011-06-24 Sendic Estrada-Jimenez , Hugo Garcia-Compean , Yong-Shi Wu

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…

强关联电子 · 物理学 2025-05-16 Mateusz Homenda , Pawel Jakubczyk , Hiroyuki Yamase

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…

强关联电子 · 物理学 2007-05-23 Florian Schuetz , Peter Kopietz

We analyse the low-energy physics of nearly ferromagnetic metals in two spatial dimensions using the functional renormalization group technique. We find a new low-energy fixed point, at which the fermionic (electron-like) excitations are…

强关联电子 · 物理学 2015-06-09 Sam P. Ridgway , Chris A. Hooley

Renormalization is one of the basic notions of condensed matter physics. Based on the concept of renormalization, the Landau's {\em Fermi liquid} theory has been able to explain, why despite the presence of Coulomb interactions, the free…

强关联电子 · 物理学 2009-05-06 S. A. Jafari

We introduce an equilibrium formulation of the functional renormalization group (fRG) for inhomogeneous systems capable of dealing with spatially finite-ranged interactions. In the general third order truncated form of fRG, the dependence…

强关联电子 · 物理学 2017-01-17 Lukas Weidinger , Florian Bauer , Jan von Delft

To capture the universal low-energy physics of metals within effective field theories, one has to generalize the usual notion of scale invariance and renormalizable field theory due to the presence of intrinsic scales (Fermi momenta). In…

强关联电子 · 物理学 2023-02-16 Francisco Borges , Anton Borissov , Ashutosh Singh , Andres Schlief , Sung-Sik Lee

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,…

强关联电子 · 物理学 2009-10-31 Christoph J. Halboth , Walter Metzner

We apply the similarity renormalization group (SRG) approach to evolve a nucleon-nucleon ($NN$) interaction in leading-order (LO) chiral effective field theory (ChEFT), renormalized within the framework of the subtracted kernel method…

核理论 · 物理学 2011-04-26 V. S. Timoteo , S. Szpigel , F. O. Duraes

We formulate a general approach for studying the low-frequency response of an interacting quantum dot connected to leads in the presence of oscillating gate voltages. The energy dissipated is characterized by the charge relaxation…

介观与纳米尺度物理 · 物理学 2012-10-31 Michele Filippone , Christophe Mora

Capturing the interplay between electronic correlations and many-particle entanglement requires a unified framework for Hamiltonian and eigenbasis renormalization. In this work, we apply the unitary renormalization group (URG) scheme…

强关联电子 · 物理学 2021-10-25 Anirban Mukherjee , Siddhartha Lal

This thesis comprises two parts centered around the functional renormalization-group framework: in the first part, I study the role of symmetries and conservation laws in approximate solutions, while in the second part I analyze Friedel…

强关联电子 · 物理学 2007-05-23 Tilman Enss

We introduce a Hamiltonian coupled between a normal Fermi surface and a polarized Maxwell type gauge field.We adopt a {\it calibrated scaling } approach in order to be consistent with the results obtained at $2+1$ dimensions as well as the…

凝聚态物理 · 物理学 2007-05-23 Gu Yan

We present the numerical solution of the renormalization group (RG) equations derived in Ref. [1], for the problem of superconductivity in the presence of both electron-electron and electron-phonon coupling at zero temperature. We study the…

超导电性 · 物理学 2007-10-30 S. -W. Tsai , A. H. Castro Neto , R. Shankar , D. K. Campbell

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.}…

强关联电子 · 物理学 2014-11-20 Seiji J. Yamamoto , Qimiao Si

We devise a functional renormalization group treatment for a chain of interacting spinless fermions which is correct up to second order in the interaction strength. We treat both inhomogeneous systems in real-space as well as the…

介观与纳米尺度物理 · 物理学 2017-12-20 Björn Sbierski , Christoph Karrasch