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We present a numerical study of thermodynamical properties of dimerized frustrated Heisenberg chains down to extremely low temperatures with applications to CuGeO$_3$. A variant of the finite temperature density matrix renormalization group…

Condensed Matter · Physics 2009-10-31 A. Klümper , R. Raupach , F. Schönfeld

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

We study the occupation numbers and number fluctuations of ultra-cold atoms in deep optical lattices for finite temperatures within the Bose-Hubbard model. Simple analytical expressions for the mean occupation number and number fluctuations…

Soft Condensed Matter · Physics 2009-11-10 L. I. Plimak , M. Fleischhauer , M. K. Olsen

We describe a modified transfer matrix renormalization group (TMRG) algorithm and apply it to calculate thermodynamic properties of the one-dimensional t-J model. At the supersymmetric point we compare with Bethe ansatz results and make…

Strongly Correlated Electrons · Physics 2007-05-23 J. Sirker , A. Klümper

While the phase diagrams of the one- and multi-orbital Hubbard model have been well studied, the physics of real Mott insulators is often much richer, material dependent, and poorly understood. In the prototype Mott insulator…

Strongly Correlated Electrons · Physics 2018-09-06 Frank Lechermann , Noam Bernstein , I. I. Mazin , Roser Valentí

We present a method for the calculation of dynamical correlation functions of quantum impurity systems out of equilibrium using Wilson's numerical renormalization group. Our formulation is based on a complete basis set of the Wilson chain…

Strongly Correlated Electrons · Physics 2009-11-13 F. B. Anders

The equilibrium transport properties of an elementary nanostructured device with side-coupled geometry are computed and related to universal functions. The computation relies on a real-space formulation of the numerical…

Strongly Correlated Electrons · Physics 2021-09-28 Ana Luiza Ferrari , Luiz N. Oliveira

We analyze the process of thermalization, dynamics and the eigenstate thermalization hypothesis (ETH) for the single impurity Anderson model, focusing on the Kondo regime. For this we construct the complete eigenbasis of the Hamiltonian…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 I. Weymann , J. von Delft , A. Weichselbaum

We study transport properties of quantum impurity systems using the functional renormalization group. The latter is an RG-based diagrammatic tool to treat Coulomb interactions in a fast and flexible way. Prior applications, which employed a…

Strongly Correlated Electrons · Physics 2010-09-21 C. Karrasch

A self-consistent renormalization scheme suitable for the calculation of non-universal quantities in $n$-vector models with pair spin interactions of arbitrary extent has been suggested. The method has been based on the elimination of the…

Statistical Mechanics · Physics 2019-04-24 V. I. Tokar

We apply a generalization of the time-dependent DMRG to study finite temperature properties of several quantum spin chains, including the frustrated $J_1-J_2$ model. We discuss several practical issues with the method, including use of…

Strongly Correlated Electrons · Physics 2007-05-23 A. E. Feiguin , Steven R. White

We propose a gauge-invariant version of Wilson Renormalization Group for thermal field theories in real time. The application to the computation of the thermal masses of the gauge bosons in an SU(N) Yang-Mills theory is discussed.

High Energy Physics - Theory · Physics 2009-10-30 Marco D'Attanasio , Massimo Pietroni

The zero temperature core-level photoemission spectrum is studied across the metal to Mott insulator transition using dynamical mean-field theory and Wilson's numerical renormalization group. An asymmetric power-law divergence is obtained…

Strongly Correlated Electrons · Physics 2007-05-23 P. S. Cornaglia , A. Georges

Ground-state properties, such as energies and double occupancies, of a one-dimensional two-band Hubbard model are calculated using a first principles Gutzwiller conjugate gradient minimization theory. The favorable agreement with the…

Strongly Correlated Electrons · Physics 2023-01-18 Zhuo Ye , Feng Zhang , Yong-Xin Yao , Cai-Zhuang Wang , Kai-Ming Ho

We study the limits of the energy resolution that can be achieved in the calculations of spectral functions of quantum impurity models using the numerical renormalization group (NRG) technique with interleaving (z-averaging). We show that…

Strongly Correlated Electrons · Physics 2009-03-05 Rok Zitko , Thomas Pruschke

We present the phase diagram and dynamical correlation functions for the Holstein-Hubbard model at half filling and at zero temperature. The calculations are based on the Dynamical Mean Field Theory. The effective impurity model is solved…

Strongly Correlated Electrons · Physics 2009-11-10 W. Koller , D. Meyer , A. C. Hewson , Y. Ono

We extend the Hertz-Millis theory of quantum phase transitions in itinerant electron systems to phases with broken discrete symmetry. Using a set of coupled flow equations derived within the functional renormalization group framework, we…

Strongly Correlated Electrons · Physics 2009-11-13 P. Jakubczyk , P. Strack , A. A. Katanin , W. Metzner

We study the low-energy asymptotics of the half-filled Hubbard model with a circular Fermi surface in $d=1+\epsilon$ continuous dimensions, based on the one-loop renormalization-group (RG) method. Peculiarity of the $d=1+\epsilon$…

Strongly Correlated Electrons · Physics 2009-10-31 Jun-ichiro Kishine

Phase transitions in 1/4-filled quasi-one-dimensional molecular conductors are studied theoretically on the basis of extended Hubbard chains including electron-lattice interactions coupled by interchain Coulomb repulsion. We apply the…

Strongly Correlated Electrons · Physics 2007-05-23 Hitoshi Seo , Yukitoshi Motome , Takeo Kato

We investigate the thermodynamics of a one-dimensional Hubbard model with bond-charge interaction X using the transfer matrix renormalization group method (TMRG). Numerical results for various quantities like spin and charge…

Strongly Correlated Electrons · Physics 2009-11-10 Andreas Kemper , Andreas Schadschneider
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