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We generalize the application of the functional renormalization group (fRG) method for the fermionic flow into the symmetry-broken phase to finite temperatures. We apply the scheme to the case of a broken discrete symmetry: the…

强关联电子 · 物理学 2009-09-29 Roland Gersch , Carsten Honerkamp , Daniel Rohe , Walter Metzner

The Functional Renormalisation Group approach is applied the imbalanced many-fermion systems. The system is found to exhibit the first order phase transition from the superfluid to normal phase when the density (chemical potential) mismatch…

量子气体 · 物理学 2015-10-20 Boris Krippa

The functional renormalization group (FRG) has been used widely to investigate phase diagrams, in particular the one of the two-dimensional Hubbard model. So far, the study of one-dimensional models has not attracted as much attention. We…

强关联电子 · 物理学 2018-06-18 Lisa Markhof , Björn Sbierski , Volker Meden , Christoph Karrasch

We present a functional renormalization group flow for many-fermion lattice models into phases with broken spin-rotational symmetry. The flow is expressed purely in terms of fermionic vertex functions. The symmetry breaking is seeded by a…

强关联电子 · 物理学 2012-10-11 Stefan A. Maier , Carsten Honerkamp

We present a functional renormalization group (fRG) formalism for interacting fermions on lattices that captures the flow into states with commensurate spin-density wave order. During the flow, the growth of the order parameter is fed back…

强关联电子 · 物理学 2014-07-31 Stefan A. Maier , Andreas Eberlein , Carsten Honerkamp

We recapitulate recent developments of the functional renormalization group (FRG) approach to the steady state of systems out of thermal equilibrium. In particular, we discuss second-order truncation schemes which account for the…

强关联电子 · 物理学 2022-12-05 G. Camacho , C. Klöckner , D. M. Kennes , C. Karrasch

The renormalization group method, more specifically the Wegner-Houghton equation, is used to find first order phase transitions in a simple scalar field theory with a polynomial potential. An improved definition of the running parameters…

高能物理 - 理论 · 物理学 2024-05-21 S. Nagy , J. Polonyi

We explore the possibilities of using the fermionic functional renormalization group to compute the phase diagram of systems with competing instabilities. In order to overcome the ubiquituous divergences encountered in RG flows, we propose…

强关联电子 · 物理学 2009-11-30 M. Ossadnik , C. Honerkamp

Technological progress in material synthesis, as well as artificial realization of condensed matter scenarios via ultra-cold atomic gases in optical lattices or epitaxial growth of thin films, is opening the gate to investigate a plethora…

超导电性 · 物理学 2015-06-17 Christian Platt , Werner Hanke , Ronny Thomale

Expanding and improving the repertoire of numerical methods for studying quantum lattice models is an ongoing focus in many-body physics. While the density matrix renormalization group (DMRG) has been established as a practically useful…

We show by a detailed study of the mean-field approximation, the Gaussian approximation, the perturbation expansion, and the field-theoretic renormalization-group analysis of a $\varphi^{3}$ theory that its instability fixed points with…

统计力学 · 物理学 2012-05-08 Fan Zhong

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…

高能物理 - 理论 · 物理学 2015-07-09 Dario Benedetti , Joseph Ben Geloun , Daniele Oriti

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

We study the phase diagram of two-flavor massless QCD at finite baryon density by applying the functional renormalization group (FRG) for a quark-meson model with $\sigma, \pi$, and $\omega$ mesons. The dynamical fluctuations of quarks,…

高能物理 - 唯象学 · 物理学 2018-01-09 Hui Zhang , Defu Hou , Toru Kojo , Bin Qin

In frustrated magnetism, making a stringent connection between microscopic spin models and macroscopic properties of spin liquids remains an important challenge. A recent step towards this goal has been the development of the pseudofermion…

强关联电子 · 物理学 2018-02-21 Dietrich Roscher , Finn Lasse Buessen , Michael M. Scherer , Simon Trebst , Sebastian Diehl

Fermionic functional renormalization group (FRG) is applied to describe the superfluid phase transition of the two-component fermionic system with attractive contact interaction. Connection between the fermionic FRG approach and the…

量子气体 · 物理学 2014-08-19 Yuya Tanizaki , Gergely Fejős , Tetsuo Hatsuda

We review recent developments in functional renormalization group (RG) methods for interacting fermions. These approaches aim at obtaining an unbiased picture of competing Fermi liquid instabilities in the low-dimensional models like the…

强关联电子 · 物理学 2007-05-23 Carsten Honerkamp

Renormalisation group approaches are tailor made for resolving the scale-dependence of quantum and statistical systems, and hence their phase structure and critical physics. Usually this advantage comes at the price of having to truncate…

高能物理 - 理论 · 物理学 2023-11-28 Friederike Ihssen , Jan M. Pawlowski

We consider formulations of the functional renormaliztion-group flow for correlated electronic systems, having the dynamical mean-field theory as a starting point. We classify the corresponding renormalization-group schemes into those…

强关联电子 · 物理学 2015-08-04 A. A. Katanin

We study the Blume-Emery-Griffiths model in a random crystal field in two and three dimensions, through a real-space renormalization-group approach and a mean-field approximation, respectively. According to the two-dimensional…

统计力学 · 物理学 2009-10-31 N. S. Branco
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