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The renormalization group approach as developed by the author for Fermi liquids is applied to clean Fermi liquids and ballistic quantum dots. In the former case Landau theory is shown to be a fixed point and in the latter the Universal…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 R. Shankar

Finite-size scaling at fixed renormalization-group invariant is a powerful and flexible technique to analyze Monte Carlo data at a critical point. It consists in fixing a given renormalization-group invariant quantity to a given value,…

Statistical Mechanics · Physics 2022-03-30 Francesco Parisen Toldin

We present an analytical strong-disorder renormalization group theory of the quantum phase transition in the dissipative random transverse-field Ising chain. For Ohmic dissipation, we solve the renormalization flow equations analytically,…

Strongly Correlated Electrons · Physics 2008-06-23 J. A. Hoyos , Thomas Vojta

We study transport through a quantum dot coupled to normal and superconducting leads using the numerical renormalization group method. We show that the low-energy properties of the system are described by the local Fermi liquid theory…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yoichi Tanaka , Norio Kawakami , Akira Oguri

We discuss the ground-state phase diagram of the one-dimensional Bose-Fermi-Hubbard model (BFHM) in the limit of fast fermions based on an effective boson model. We give a detailed derivation of the effective model with long-range RKKY-type…

Quantum Gases · Physics 2019-10-23 Alexander Mering , Michael Fleischhauer

In this work, the quantum phase transition in the sub-Ohmic spin-boson model is studied using a single-mode approximation, by combining the rotating wave transformation and the transformations used in the numerical renormalization group…

Strongly Correlated Electrons · Physics 2017-01-02 F. R. Liu , N. H. Tong

The real-space renormalisation group method can be applied to the Chalker-Coddington model of the quantum Hall transition to provide a convenient numerical estimation of the localisation critical exponent, $\nu$. Previous such studies found…

Disordered Systems and Neural Networks · Physics 2024-09-12 Syl Shaw , Rudolf A. Römer

The two-dimensional ferromagnetic anisotropic Ashkin-Teller model is investigated through a real-space renormalization-group approach. The critical frontier, separating five distinct phases, recover all the known exacts results for the…

Statistical Mechanics · Physics 2009-11-07 C. G. Bezerra , A. M. Mariz , J. M. de Araujo , F. A. da Costa

We apply the functional renormalization group method to the calculation of dynamical properties of zero-dimensional interacting quantum systems. As case studies we discuss the anharmonic oscillator and the single impurity Anderson model. We…

Strongly Correlated Electrons · Physics 2009-11-10 R. Hedden , V. Meden , Th. Pruschke , K. Schoenhammer

We carry out a field-theoretical renormalization group procedure based on the Callan-Symanzik equation to calculate the detailed flow for the (multi) two-channel Kondo model and its compactified versions. In doing so, we go beyond the…

Strongly Correlated Electrons · Physics 2024-08-12 Aleksandar Ljepoja , C. J. Bolech , Nayana Shah

We discuss the dynamics of magnetic moments in d-wave superconductors, in particular we focus on moments induced by doping non-magnetic impurities into cuprates. The interaction of such moments with the Bogoliubov quasiparticles of the…

Strongly Correlated Electrons · Physics 2009-11-07 Matthias Vojta , Ralf Bulla

In a recent work [1] we presented results for the Bose-Fermi-Hubbard model (BFHM) in the limit of ultrafast fermions. The present work gives an overview over the used methods and an deeper insight into the implications arising from the…

Quantum Gases · Physics 2014-08-21 Alexander Mering

Quenched randomness can lead to robust non-equilibrium phases of matter in periodically driven (Floquet) systems. Analyzing transitions between such dynamical phases requires a method capable of treating the twin complexities of disorder…

Disordered Systems and Neural Networks · Physics 2018-11-12 William Berdanier , Michael Kolodrubetz , S. A. Parameswaran , Romain Vasseur

Finite size scalings of the momentum distribution and noise correlations are performed to study Mott insulator, Bose glass, and superfluid quantum phases in hard-core bosons (HCBs) subjected to quasi-periodic disorder. The exponents of the…

Quantum Gases · Physics 2012-07-13 Kai He , Indubala I. Satija , Charles W. Clark , Ana Maria Rey , Marcos Rigol

We study the thermal phase transition of the bosonic BMN model which is a mass deformed version of the bosonic part of the BFSS model. Our results connect the massless region of the phase diagram described by the bosonic BFSS model with the…

High Energy Physics - Theory · Physics 2022-02-15 Samuel Kováčik , Denjoe O'Connor , Yuhma Asano

We investigate equilibrium and steady-state non-equilibrium transport properties of a spinless resonant level locally coupled to two conduction bands of width ~\Gamma via a Coulomb interaction U and a hybridization t'. In order to study the…

Strongly Correlated Electrons · Physics 2015-05-14 C. Karrasch , M. Pletyukhov , L. Borda , V. Meden

In this paper we investigate the magnetic properties of heavy fermions in the antiferromagnetic and dense Kondo phases in the framework of the Kondo necklace model. We use a mean field renormalization group approach to obtain a temperature…

Strongly Correlated Electrons · Physics 2009-11-07 Tatiana G. Rappoport , M. A. Continentino

We investigate many-body effects on a mixture of interacting bosons and fermions loaded in an optical lattice using a generalized dynamical mean field theory combined with the numerical renormalization group. We show that strong correlation…

Quantum Gases · Physics 2015-06-05 Kazuto Noda , Robert Peters , Norio Kawakami , Thomas Pruschke

We exploit the renormalization-group approach to establish the {\em exact} infrared behavior of an interacting Bose system at zero temperature. The local-gauge symmetry in the broken-symmetry phase is implemented through the associated Ward…

Statistical Mechanics · Physics 2009-11-10 F. Pistolesi , C. Castellani , C. Di Castro , G. C. Strinati

We present a field-theoretic renormalization group analysis of Abanov and Chubukov's model of the spin density wave transition in two dimensional metals. We identify the independent field scale and coupling constant renormalizations in a…

Strongly Correlated Electrons · Physics 2010-08-24 Max A. Metlitski , Subir Sachdev