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Related papers: Spin functional renormalization group for dimerize…

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We combine the pseudofermion functional renormalization group (PFFRG) method with a self-consistent Fock-like mean-field scheme to calculate low-energy effective theories for emergent spinon excitations in spin-1/2 quantum spin liquids.…

Strongly Correlated Electrons · Physics 2019-04-03 Max Hering , Jonas Sonnenschein , Yasir Iqbal , Johannes Reuther

We use the density matrix renormalization group method (DMRG) to compute the frequency and momentum resolved spin-spin correlation functions of a dimerized spin-1/2 chain under a magnetic field at finite temperature. The spectral features…

Strongly Correlated Electrons · Physics 2018-10-09 Emanuele Coira , Peter Barmettler , Thierry Giamarchi , Corinna Kollath

We derive quantum kinetic equations from a quantum field theory implementing a diagrammatic perturbative expansion improved by a resummation via the dynamical renormalization group. The method begins by obtaining the equation of motion of…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Boyanovsky , H. J. de Vega , S. -Y. Wang

Ferromagnetic, in contrast to antiferromagnetic, Heisenberg chains can undergo a Spin-Peierls dimerization only at finite temperatures. They show reentrant behavior as a function of temperature, which might play a role for systems with…

Strongly Correlated Electrons · Physics 2011-10-19 A. Herzog , P. Horsch , A. M. Oles , J. Sirker

Koopman operator theory is shown to be directly related to the renormalization group. This observation allows us, with no assumption of translational invariance, to compute the critical exponents $\eta$ and $\delta$, as well as ratios of…

Statistical Mechanics · Physics 2020-07-01 William T Redman

We present a Keldysh nonlinear sigma-model approach to the renormalization group analysis of the disordered electron liquid. We include both the Coulomb interaction and Fermi-liquid type interactions in the singlet and triplet channels into…

Mesoscale and Nanoscale Physics · Physics 2014-11-20 G. Schwiete , A. M. Finkel'stein

We present a functional renormalization group approach to the zero bias transport properties of a quantum dot with two different orbitals and in presence of Hund's coupling. Tuning the energy separation of the orbital states, the quantum…

Mesoscale and Nanoscale Physics · Physics 2012-10-03 E. B. Magnusson , N. Hasselmann , I. A. Shelykh

We apply a recent adaptation of White's density matrix renormalisation group (DMRG) method to a simple quantum spin model, the dimerised $XY$ chain, in order to assess the applicabilty of the DMRG to quantum systems at non-zero temperature.…

Condensed Matter · Physics 2009-10-28 R. J. Bursill , T. Xiang , G. A. Gehring

The pseudofermion functional renormalization group (pf-FRG) is one of the few numerical approaches that has been demonstrated to quantitatively determine the ordering tendencies of frustrated quantum magnets in two and three spatial…

Strongly Correlated Electrons · Physics 2018-02-21 Finn Lasse Buessen , Dietrich Roscher , Sebastian Diehl , Simon Trebst

A simple phenomenological real-space renormalization group method for quantum Heisenberg spins with nearest and next nearest neighbour interactions on a pyrochlore lattice is presented. Assuming a scaling law for the order parameter of two…

Statistical Mechanics · Physics 2013-09-18 Angel J. Garcia-Adeva

The renormalization group method is applied for obtaining the asymptotic form of the wave function of the quantum anharmonic oscillator by resumming the perturbation series. It is shown that the resumed series is the cumulant of the naive…

High Energy Physics - Theory · Physics 2010-01-06 Teiji Kunihiro

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…

Materials Science · Physics 2016-10-12 Christian Seiler , Ferdinand Evers

We describe the generalization of Wilson's Numerical Renormalization Group method to quantum impurity models with a bosonic bath, providing a general non-perturbative approach to bosonic impurity models which can access exponentially small…

Statistical Mechanics · Physics 2007-05-23 Ralf Bulla , Ning-Hua Tong , Matthias Vojta

The pseudofermion functional renormalization group (PFFRG) method has proven to be a powerful numerical approach to treat frustrated quantum spin systems. In its usual implementation, however, the complex fermionic representation of spin…

Strongly Correlated Electrons · Physics 2021-09-21 Nils Niggemann , Björn Sbierski , Johannes Reuther

Recently a block spin renormalization group approach was proposed for the dynamical triangulation formulation of two-dimensional quantum gravity. We use this approach to examine non-perturbatively a particular class of higher derivative…

High Energy Physics - Lattice · Physics 2009-10-22 Ray L. Renken , Simon M. Catterall , John B. Kogut

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

Using functional renormalization group methods, we study an effective low-energy model describing the Ising-nematic quantum critical point in two-dimensional metals. We treat both gapless fermionic and bosonic degrees of freedom on equal…

Strongly Correlated Electrons · Physics 2012-06-25 Casper Drukier , Lorenz Bartosch , Aldo Isidori , Peter Kopietz

We present a detailed functional renormalization group analysis of spin-1/2 dipolar Heisenberg model on square lattice. This model is similar to the well known $J_1$-$J_2$ model and describes the pseudospin degrees of freedom of polar…

Quantum Gases · Physics 2018-06-08 Ahmet Keles , Erhai Zhao

A generalizing formulation of dynamical real-space renormalization that suits for arbitrary spin systems is suggested. The new version replaces the single-spin flipping Glauber dynamics with the single-spin transition dynamics. As an…

Disordered Systems and Neural Networks · Physics 2009-11-07 Jian-Yang Zhu , Z. R. Yang

The pseudo-fermion functional renormalization group is generalized to treat spin Hamiltonians with finite magnetic fields, enabling its application to arbitrary spin lattice models with linear and bilinear terms in the spin operators. We…

Strongly Correlated Electrons · Physics 2025-01-30 Vincent Noculak , Johannes Reuther