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The effect of strong anisotropy on the Fermi line of a system of correlated electrons is studied in two space dimensions, using renormalization group techniques. Inflection points change the scaling exponents of the couplings, enhancing the…

Strongly Correlated Electrons · Physics 2009-10-30 J. Gonzalez , F. Guinea , M. A. H. Vozmediano

We introduce Gutzwiller-correlated wave functions for the variational investigation of general multi-band Hubbard models. We set up a diagrammatic formalism which allows us to evaluate analytically ground-state properties in the limit of…

Strongly Correlated Electrons · Physics 2009-10-30 Joerg Buenemann , Florian Gebhard , Werner Weber

We calculate the renormalized Fermi surface and the quasiparticle properties in the Fermi liquid phase of three-dimensional dipolar fermions to second order in the dipole-dipole interaction. Using parameters relevant to an ultracold gas of…

Quantum Gases · Physics 2015-03-05 Jan Krieg , Philipp Lange , Lorenz Bartosch , Peter Kopietz

We study the effects of spin-antisymmetric interactions on the stability of a Landau-Fermi liquid on the square lattice, using the generalized Pomeranchuk method for two-dimensional lattice systems. In particular, we analyze interactions…

Strongly Correlated Electrons · Physics 2017-07-24 P. Rodriguez Ponte , D. C. Cabra , N. Grandi

The correlation functions of one-dimensional Hubbard model in the presence of external magnetic field was investigated through the conformal field technique. The long distance behaviour of the correlation functions and their critical…

Strongly Correlated Electrons · Physics 2015-07-28 Nelson Nenuwe , John O. A. Idiodi

We use exact diagonalization to determine the spectrum of reduced Hamiltonians based on renormalization group flows to strong coupling. For the half-filled two-leg Hubbard ladder we reproduce the known insulating d-Mott groundstate with…

Strongly Correlated Electrons · Physics 2007-05-23 A. Laeuchli , C. Honerkamp , T. M. Rice

A wide variety of experimental platforms, ranging from semiconductor quantum-dot arrays to moir\'e materials, have recently emerged as powerful quantum simulators for studying the Hubbard model and its variants. Motivated by these…

Strongly Correlated Electrons · Physics 2024-10-03 Johannes Dieplinger , Rhine Samajdar , R. N. Bhatt

We derive an efficient method for treating renormalization contributions at two-loop level within the functional renormalization group in the one-particle irreducible formalism for fermions. It is based on a decomposition of the…

Strongly Correlated Electrons · Physics 2014-09-16 Andreas Eberlein

One of the fundamental questions about the high temperature cuprate superconductors is the size of the Fermi surface (FS) underlying the superconducting state. By analyzing the single particle spectral function for the Fermi Hubbard model…

Strongly Correlated Electrons · Physics 2023-03-21 Ian Osborne , Thereza Paiva , Nandini Trivedi

The stability of ferromagnetism at the surface at finite temperatures is investigated within the strongly correlated Hubbard model on a semi-infinite lattice. Due to the reduced surface coordination number the effective Coulomb correlation…

Strongly Correlated Electrons · Physics 2009-10-31 T. Herrmann , W. Nolting

This paper is devoted to the rigorous study of the low temperature properties of the two-dimensional weakly interacting Hubbard model on the honeycomb lattice in which the renormalized chemical potential $\mu$ has been fixed such that the…

Mathematical Physics · Physics 2023-08-02 Vincent Rivasseau , Zhituo Wang

A full, nonperturbative renormalization group analysis of interacting electrons in a graphite layer is performed, in order to investigate the deviations from Fermi liquid theory that have been observed in the experimental measures of a…

Strongly Correlated Electrons · Physics 2009-10-31 J. Gonzalez , F. Guinea , M. A. H. Vozmediano

At strong on-site repulsion $ U $, the fermionic Hubbard model realizes an extremely correlated electron system. In this regime, it is natural to derive the low-energy physics with the help of non-canonical operators acting on a projected…

Strongly Correlated Electrons · Physics 2026-04-27 Jonas Arnold , Peter Kopietz , Andreas Rückriegel

We develop a systematic self-consistent perturbative expansion for the self energy of Hubbard-like models. The interaction lines in the Feynman diagrams are dynamically screened by the charge fluctuations in the system. Although the formal…

Strongly Correlated Electrons · Physics 2007-05-23 G. Esirgen , H. -B. Schuttler , C. Grober , H. G. Evertz

We consider ferromagnetic instabilities of two-dimensional helical Dirac fermions hosted on the surface of three-dimensional topological insulators. We investigate ways to increase the role of interactions by means of modifying the bulk…

Strongly Correlated Electrons · Physics 2013-11-13 Matthias Sitte , Achim Rosch , Lars Fritz

We consider a Fermi liquid model with density-density as well as quadrupolar forward scattering interactions parametrized by the Landau parameters $F_0$ and $F_2$. Using bosonization and a decimation technique, we compute collective modes…

Strongly Correlated Electrons · Physics 2019-09-18 Rui Aquino , Daniel G. Barci

We study competing orders of spinless fermions in the triangular-lattice Hubbard model with nearest-neighbor interaction. We calculate the effective, momentum-resolved two-particle vertex in an unbiased way in terms of the functional…

Strongly Correlated Electrons · Physics 2022-10-19 Nico Gneist , Dominik Kiese , Ravn Henkel , Ronny Thomale , Laura Classen , Michael M. Scherer

Based on the variational Gutzwiller theory, we present a method for the computation of response functions for multiband Hubbard models with general local Coulomb interactions. The improvement over the conventional random-phase approximation…

Strongly Correlated Electrons · Physics 2011-11-23 E. v. Oelsen , G. Seibold , J. Buenemann

We consider the stability of nodal surfaces in fermionic band systems with respect to the Coulomb repulsion. It is shown that nodal surfaces at the Fermi level are gapped out at low temperatures due to emergent particle-hole orders. Energy…

Mesoscale and Nanoscale Physics · Physics 2018-12-19 Pavel A. Volkov , Sergej Moroz

A formalism based on the fermionic functional-renormalization-group approach to interacting electron models defined on a lattice is presented. One-loop flow equations for the coupling constants and susceptibilities in the particle-particle…

Strongly Correlated Electrons · Physics 2024-08-21 Lucas Désoppi , Nicolas Dupuis , Claude Bourbonnais