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Partial bosonisation of the two-dimensional Hubbard model focuses the functional renormalisation flow on channels in which interactions become strong and local order sets in. We compare the momentum structure of the four-fermion vertex,…

Strongly Correlated Electrons · Physics 2020-04-15 Tobias Denz , Mario Mitter , Jan M. Pawlowski , Christof Wetterich , Masatoshi Yamada

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…

Quantum Gases · Physics 2014-04-25 Yuya Tanizaki , Gergely Fejős , Tetsuo Hatsuda

We analyze the influence of phonons on the d-wave pairing instability in the Hubbard model on the two-dimensional square lattice at weak to moderate interaction U, using a functional renormalization group scheme with frequency-dependent…

Strongly Correlated Electrons · Physics 2013-05-29 Carsten Honerkamp , Henry C. Fu , Dung-Hai Lee

The renormalisation group (RG) flow on the space of couplings of a simple model with two couplings is examined. The model considered is that of a single component scalar field with $\phi^4$ self interaction coupled, via Yukawa coupling, to…

High Energy Physics - Theory · Physics 2015-06-26 Brian P. Dolan

We investigate textbook QED in the framework of the exact renormalization group. In the strong-coupling region, we study the influence of fluctuation-induced photonic and fermionic self-interactions on the nonperturbative running of the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Holger Gies , Joerg Jaeckel

The Renormalisation Group is a versatile tool for the study of many systems where scale-dependent behaviour is important. Its functional formulation can be cast into the form of an exact flow equation for the scale-dependent effective…

High Energy Physics - Theory · Physics 2015-12-14 Jan M. Pawlowski , Michael M. Scherer , Richard Schmidt , Sebastian J. Wetzel

A replica-symmetry-breaking phase transition is predicted in a host of disordered media. The criticality of the transition has, however, long been questioned below its upper critical dimension, six, due to the absence of a critical fixed…

Statistical Mechanics · Physics 2019-02-27 Patrick Charbonneau , Yi Hu , Archishman Raju , James P. Sethna , Sho Yaida

We compute the self-energy for the half-filled Hubbard model on a square lattice using lattice quantum Monte Carlo simulations and the dynamical vertex approximation. The self-energy is strongly momentum dependent, but it can be…

Strongly Correlated Electrons · Physics 2016-05-30 Petra Pudleiner , Thomas Schäfer , Daniel Rost , Gang Li , Karsten Held , Nils Blümer

Known results on two-dimensional quantum electrodynamics (QED_2) have been used to study the dependence of functional renormalization group equations on renormalization schemes and approximations applied for its bosonized version. It is…

High Energy Physics - Theory · Physics 2011-10-03 I. Nandori

The Hubbard model on a semi-infinite three-dimensional lattice is considered to investigate electron-correlation effects at single-crystal surfaces. The standard second-order perturbation theory in the interaction U is used to calculate the…

Strongly Correlated Electrons · Physics 2009-10-30 M. Potthoff , W. Nolting

The problem of weakly correlated electrons on a square lattice is formulated in terms of one-loop renormalization group. Starting from the action for the entire Brillouin zone (and not with a low-energy effective action) we reduce…

Condensed Matter · Physics 2009-10-28 D. Zanchi , H. J. Schulz

We use the Matsubara functional renormalization group (FRG) to describe electronic correlations within the single impurity Anderson model. In contrast to standard FRG calculations, we account for the frequency-dependence of the two-particle…

Strongly Correlated Electrons · Physics 2009-11-13 C. Karrasch , R. Hedden , R. Peters , Th. Pruschke , K. Schönhammer , V. Meden

We analyze the effects of order parameter fluctuations on the ground state of fully gapped charge-neutral fermionic superfluids. The Goldstone mode associated with the spontaneously broken symmetry leads to a problem of coupled…

Strongly Correlated Electrons · Physics 2014-03-19 Benjamin Obert , Christoph Husemann , Walter Metzner

The frequency structure of the superconducting correlations in cuprates gives insights on the pairing mechanism. Here we present an exhaustive study of this problem in the two-dimensional Hubbard model with cellular dynamical mean-field…

Strongly Correlated Electrons · Physics 2026-04-14 G. Sordi , E. M. O'Callaghan , C. Walsh , M. Charlebois , P. Sémon , A. -M. S. Tremblay

We present a renormalization group analysis of two-dimensional interacting fermion systems with a closed and partially flat Fermi surface. Numerical solutions of the one-loop flow equations show that for a bare local repulsion, the system…

Strongly Correlated Electrons · Physics 2009-11-07 S. Dusuel , F. Vistulo de Abreu , B. Doucot

We derive two-loop renormalization-group equations for the half-filled one-dimensional Hubbard chains coupled by the interchain hopping. Our renormalization-group scheme for the quasi-one-dimensional electron system is a natural extension…

Strongly Correlated Electrons · Physics 2007-05-23 M. Tsuchiizu

We perform an instability analysis of the Emery three-band model at hole doping and weak coupling within a channel-decomposed functional renormalization group flow proposed in Phys. Rev. B 79, 195125 (2009). In our approach, momentum…

Strongly Correlated Electrons · Physics 2013-12-13 Stefan A. Maier , Jutta Ortloff , Carsten Honerkamp

The real-time dynamics of the Fermi-Hubbard model, driven out of equilibrium by quenching or ramping the interaction parameter, is studied within the framework of the nonequilibrium self-energy functional theory. A dynamical impurity…

Strongly Correlated Electrons · Physics 2016-06-03 Felix Hofmann , Martin Eckstein , Michael Potthoff

We employ the functional renormalization group to investigate the phase diagram of the $t-t'$ Hubbard model on the square lattice with finite chemical potential $\mu$ at zero temperature. A unified scheme to derive flow equations in the…

Strongly Correlated Electrons · Physics 2017-12-13 Sebastian Johann Wetzel

We investigate charge fluctuations in the two-dimensional Hubbard model as a function of doping, interaction strength, next-nearest-neighbor hopping, and temperature within the eight-site dynamical cluster approximation. In the regime of…

Strongly Correlated Electrons · Physics 2020-07-13 Xinyang Dong , Emanuel Gull