English
Related papers

Related papers: Perturbation expansion for 2-D Hubbard model

200 papers

The diagram technique for the one-band Hubbard model is formulated for the case of moderate to strong Hubbard repulsion. The expansion in powers of the hopping constant is expressed in terms of site cumulants of electron creation and…

Strongly Correlated Electrons · Physics 2007-05-23 A. Sherman

Band renormalization effects (BRE) are comprehensively studied for a mixed state of dx2-y2-wave superconducting (d-SC) and antiferromagnetic (AF) orders, in addition to simple d-SC, AF, and normal (paramagnetic) states, by applying a…

Strongly Correlated Electrons · Physics 2016-07-05 Ryo Sato , Hisatoshi Yokoyama

We study the Euclidean two-point function of Fermi fields in the SU(2)-Thirring model on the whole distance (energy) scale. We perform perturbative and renormalization group analyses to obtain the short-distance asymptotics, and numerically…

High Energy Physics - Theory · Physics 2009-11-07 B. Doyon , S. Lukyanov

Using recently developed quantum SU(2)xU(1) rotor approach, that provides a self-consistent treatment of the antiferromagnetic state we have performed electronic spectral function calculations for the Hubbard model on the square lattice.…

Strongly Correlated Electrons · Physics 2015-05-13 T. A. Zaleski , T. K. Kopec

Using the recently introduced multiloop extension of the functional renormalization group, we compute the frequency- and momentum-dependent self-energy of the two-dimensional Hubbard model at half filling and weak coupling. We show that, in…

Strongly Correlated Electrons · Physics 2020-07-16 Cornelia Hille , Daniel Rohe , Carsten Honerkamp , Sabine Andergassen

The single particle spectral-weight function (SWF) of the ionic Hubbard model at half filling is calculated in the cluster perturbation theory approximation. An abrupt change of regime in the low-energy region, near the chemical potential,…

Strongly Correlated Electrons · Physics 2016-08-31 M. C. Refolio , J. M. Lopez Sancho , J. Rubio , J. A. Verges

A model for nonequilibrium dynamical mean-field theory is constructed for the infinite dimensional Hubbard lattice. We impose nonequilibrium by expressing the physical orbital as a superposition of a left-($L$) moving and right-($R$) moving…

Strongly Correlated Electrons · Physics 2009-04-23 R. J. Heary , J. E. Han

We consider the 2D Hubbard model in the strong-coupling case (U>>W) and at low electron density (nd^2<<1). We find an antibound state as a pole in the two-particle T-matrix. The contribution of this pole in the self-energy reproduces a…

Strongly Correlated Electrons · Physics 2015-05-28 M. Yu. Kagan , V. V. Val'kov , P. Woelfle

We have developed a semi-analytical framework formulated in the canonical fermion representation to investigate strongly correlated electron systems. We consider the U=$\infty$ Hubbard model and used the equation of motion method to…

Strongly Correlated Electrons · Physics 2026-03-18 Debanand Sa , Anirban Dutta

We illustrate the renormalized perturbation expansion method by applying it to a single impurity Anderson model. Previously, we have shown that this approach gives the {\it exact} leading order results for the specific heat, spin and charge…

Strongly Correlated Electrons · Physics 2009-11-07 A. C. Hewson

We extend and apply a recently introduced quasi-particle functional renormalisation group scheme to the two-dimensional Hubbard model with next-nearest-neighbour hopping and away from half filling. We confirm the generation of…

Strongly Correlated Electrons · Physics 2023-11-15 Daniel Rohe

We study the renormalized perturbation theory of the single-impurity Anderson model, particularly the high-order terms in the expansion of the self-energy in powers of the renormalized coupling $\tilde{U}$. Though the presence of…

Strongly Correlated Electrons · Physics 2015-09-23 Vassilis Pandis , Alex C. Hewson

We analyze the interaction-induced renormalization of single-particle excitations in the two-dimensional Hubbard model at weak coupling using the Wick-ordered version of the functional renormalization group. The self energy is computed for…

Strongly Correlated Electrons · Physics 2007-05-23 Daniel Rohe , Walter Metzner

The Hubbard model is reformulated in terms of different ``colored'' fermion species for the electrons or holes at different lattice sites. Antiferromagnetic ordering or d-wave superconductivity can then be described in terms of…

Strongly Correlated Electrons · Physics 2009-10-31 Tobias Baier , Eike Bick , Christof Wetterich

Non-perturbative renormalisation of a general class of scalar field theories is performed at the Hartree level truncation of the 2PI effective action in the broken symmetry regime. Renormalised equations are explicitly constructed for the…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. Fejos , A. Patkos , Zs. Szep

We prove that the two dimensional Hubbard model at finite temperature T and half-filling is analytic in the coupling constant in a radius at least $c/(\log T)^2$. We also study the self-energy through a new two-particle irreducible…

Strongly Correlated Electrons · Physics 2009-11-10 Stephane Afchain , Jacques Magnen , Vincent Rivasseau

Exact relations are derived for the Fermi Hubbard spectral weight function for infinite U at zero temperature in the thermodynamic limit for any dimension,any lattice structure and general hopping matrix. These relations involve moments of…

Strongly Correlated Electrons · Physics 2018-12-11 Donald M. Esterling

We discuss spectra calculated for the 2D Hubbard model in the intermediate coupling regime with the dynamical cluster approximation, which is a non-perturbative approach. We find a crossover from a normal Fermi liquid with a Fermi surface…

Strongly Correlated Electrons · Physics 2009-11-07 Th. A. Maier , Th. Pruschke , M. Jarrell

A local, second-order (truncated) approximation is applied to the Hubbard model in three dimensions. Lowering the temperature, at half-filling, the paramagnetic ground state becomes unstable towards the formation of a commensurate…

Condensed Matter · Physics 2019-08-15 A. N. Tahvildar-Zadeh , J. K. Freericks , M. Jarrell

We calculate the zero-temperature self-energy to fourth-order perturbation theory in the Hubbard interaction $U$ for the half-filled Hubbard model in infinite dimensions. For the Bethe lattice with bare bandwidth $W$, we compare our…

Strongly Correlated Electrons · Physics 2009-11-10 Florian Gebhard , Eric Jeckelmann , Sandra Mahlert , Satoshi Nishimoto , Reinhard M. Noack