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A system of electrons in the two-dimensional honeycomb lattice with Coulomb interactions is described by a renormalizable quantum field theory similar but not equal to QED_3. Renormalization group techniques are used to investigate the…

High Energy Physics - Theory · Physics 2009-10-22 J. Gonzalez , F. Guinea , M. A. H. Vozmediano

The applicability of the Hartree-Fock and random phase approximations to models of strongly correlated electrons is discussed. The 2D Hubbard model is analyzed. An antiferromagnetic phase (at half filling) and Fermi liquid behavior (at low…

Condensed Matter · Physics 2007-05-23 F. Guinea , E. Louis , J. A. Verges

We investigate two-component ultracold fermions loaded into a decorated square lattice, which are described by the Hubbard model with repulsive interactions and nearest neighbor hoppings. By combining the real-space dynamical mean-field…

Quantum Gases · Physics 2015-05-18 Kazuto Noda , Akihisa Koga , Norio Kawakami , Thomas Pruschke

We show that a strongly renormalized band of polaronic quasiparticle excitations is induced at the Fermi level of an interacting many-electron system on increasing the coupling of the electrons to local phonons. We give results for the…

Strongly Correlated Electrons · Physics 2009-11-11 W. Koller , A. C. Hewson , D. M. Edwards

We develop a functional renormalization group approach which describes the low-energy single-particle properties of the Anderson impurity model up to intermediate on-site interactions $U \lesssim 15 \Delta$, where $\Delta$ is the…

Strongly Correlated Electrons · Physics 2009-09-29 Lorenz Bartosch , Hermann Freire , Jose Juan Ramos Cardenas , Peter Kopietz

Capturing the interplay between electronic correlations and many-particle entanglement requires a unified framework for Hamiltonian and eigenbasis renormalization. In this work, we apply the unitary renormalization group (URG) scheme…

Strongly Correlated Electrons · Physics 2021-10-25 Anirban Mukherjee , Siddhartha Lal

We extend the analysis of the renormalization group flow in the two-dimensional Hubbard model close to half-filling using the recently developed temperature flow formalism. We investigate the interplay of d-density wave and Fermi surface…

Strongly Correlated Electrons · Physics 2009-11-07 C. Honerkamp , M. Salmhofer , T. M. Rice

Nagaoka's theorem on ferromagnetism in the Hubbard model with one electron less than half filling is generalized to the case where all possible nearest-neighbor Coulomb interactions (the density-density interaction $V$, bond-charge…

Condensed Matter · Physics 2009-10-28 Marcus Kollar , Rainer Strack , Dieter~Vollhardt

The electronic and magnetic properties of many strongly-correlated systems are controlled by a limited number of states, located near the Fermi level and well isolated from the rest of the spectrum. This opens a formal way for combining the…

Strongly Correlated Electrons · Physics 2010-07-15 I. V. Solovyev

We formulate the exact Wilsonian renormalization group for a system of interacting fermions on a lattice. The flow equations for all vertices of the Wilson effective action are expressed in form of the Polchinski equation. We apply this…

Strongly Correlated Electrons · Physics 2007-05-23 D. Zanchi , H. J. Schulz

We examine the nature of the transition to the antiferromagnetically ordered state in the half-filled three-dimensional Hubbard model using the dual-fermion multiscale approach. Consistent with analytics, in the weak-coupling regime we find…

Strongly Correlated Electrons · Physics 2015-10-14 Daniel Hirschmeier , Hartmut Hafermann , Emanuel Gull , Alexander I. Lichtenstein , Andrey E. Antipov

Using the strong coupling diagram technique, low-temperature spectral properties of the two-dimensional fermionic Hubbard model are con\-si\-de\-red for strong and moderate Hubbard repulsions $U$. The electron hopping to the nearest, second…

Strongly Correlated Electrons · Physics 2019-05-21 A. Sherman

In the limit of infinite spatial dimensions a thermodynamically consistent theory of the strongly correlated electron systems, which is valid for arbitrary value of the Coulombic interaction ($U<\infty$), is built. For the Hubbard model the…

Strongly Correlated Electrons · Physics 2007-05-23 A. M. Shvaika

Using the recently introduced multiloop extension of the functional renormalization group, we compute the magnetic, density, and superconducting susceptibilities of the two-dimensional Hubbard model at weak coupling and present a detailed…

Strongly Correlated Electrons · Physics 2023-08-16 Sarah Heinzelmann , Alessandro Toschi , Sabine Andergassen

A realization of heavy fermion state is investigated on the basis of two-band Hubbard model. By means of the slave-boson mean-field approximation, it is shown that for the intermediate electron density, n_e=1.5, the inter-band Coulomb…

Strongly Correlated Electrons · Physics 2009-10-31 H. Kusunose , S. Yotsuhashi , K. Miyake

The aspect of the quasiparticle interaction of a local Fermi liquid, the impurity version of f$^2$-based heavy fermions, is studied by the Wilson numerical renormalization group method. In particular, the case of the f$^2$-singlet…

Strongly Correlated Electrons · Physics 2009-11-11 Kazumasa Hattori , Satoshi Yotsuhashi , Kazumasa Miyake

We investigate the quantum many-body instabilities for electrons on the honeycomb lattice at half-filling with extended interactions, motivated by a description of graphene and related materials. We employ a recently developed fermionic…

Strongly Correlated Electrons · Physics 2017-03-08 D. Sánchez de la Peña , J. Lichtenstein , C. Honerkamp

We present a highly parallelisable scheme for treating functional Renormalisation Group equations which incorporates a quasi-particle-based feedback on the flow and provides direct access to real-frequency self-energy data. This allows to…

Strongly Correlated Electrons · Physics 2020-12-09 D. Rohe , C. Honerkamp

Weak-coupling phenomena of the two-dimensional Hubbard model is gaining momentum as a new interesting research field due to its extraordinarily rich behavior as a function of the carrier density and model parameters. Salmhofer [{\it Commun.…

Mesoscale and Nanoscale Physics · Physics 2021-06-16 Sushant Kumar Behera , Madhavi Ahalawat , Subrata Jana , Prasanjit Samal , Pritam Deb

A novel effective Hamiltonian in the subspace of singly occupied states is obtained by applying the Gutzwiller projection approach to a generalized Hubbard model with the interactions between two nearest- neighbor sites. This model provides…

Strongly Correlated Electrons · Physics 2017-03-27 Tao Sun