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Previous theories of dilute polymer solutions have failed to distinguish clearly between two very different ways of taking the long-chain limit: (I) $N \to\infty$ at fixed temperature $T$, and (II) $N \to\infty$, $T \to T_\theta$ with $x…

High Energy Physics - Lattice · Physics 2010-12-17 Alan D. Sokal

We apply the DMRG method to the Pariser-Parr-Pople hamiltonian and investigate the onset of dimerization. We deduce the parameters of the hopping term and the contribution of the sigma bonds from ab initio calculations on ethylene. Denoting…

Strongly Correlated Electrons · Physics 2009-10-31 G. L. Bendazzoli , S. Evangelisti , G. Fano , F. Ortolani , L. Ziosi

The density matrix renormalization group (DMRG) method introduced by White for the study of strongly interacting electron systems is reviewed; the method is variational and considers a system of localized electrons as the union of two…

Strongly Correlated Electrons · Physics 2009-10-31 G. Fano , F. Ortolani , L. Ziosi

The diffusion-controlled reaction $kA\rightarrow\emptyset$ is known to be strongly dependent on fluctuations in dimensions $d\le d_c=2/(k-1)$. We develop a field theoretic renormalization group approach to this system which allows explicit…

Condensed Matter · Physics 2009-10-22 Benjamin P. Lee

The density matrix renormalization group is one of the most powerful numerical methods for computing ground-state properties of two-dimensional (2D) quantum lattice systems. Here we show its finite-temperature extensions are also viable for…

Strongly Correlated Electrons · Physics 2017-08-24 Benedikt Bruognolo , Zhenyue Zhu , Steven R. White , E. Miles Stoudenmire

In this work we study the spectral density of products of Wishart diluted random matrices of the form $X(1)\cdots X(M)(X(1)\cdots X(M))^T$ using the Edwards-Jones trick to map this problem into a system of interacting particles with random…

Disordered Systems and Neural Networks · Physics 2014-07-25 Thomas Dupic , Isaac Pérez Castillo

We study the effective mass of the bipolarons and essentially the possibility to get both light and strongly bound bipolarons in the Holstein-Hubbard model and some variations in the vicinity of the adiabatic limit. Several approaches to…

Superconductivity · Physics 2009-10-31 Laurent Proville , Serge Aubry

The density matrix renormalization group method is used to investigate the spin-Peierls transition for Heisenberg spins coupled to quantized phonons. We use a phonon spectrum that interpolates between a gapped, dispersionless (Einstein)…

Strongly Correlated Electrons · Physics 2015-05-19 Christopher J. Pearson , William Barford , Robert J. Bursill

Density matrix embedding theory (Phys. Rev. Lett. 109, 186404 (2012)) and density embedding theory ((Phys. Rev. B 89, 035140 (2014)) have recently been introduced for model lattice Hamiltonians and molecular systems. In the present work,…

Chemical Physics · Physics 2016-11-25 Ireneusz W. Bulik , Weibing Chen , Gustavo E. Scuseria

In this paper, we provide relations among the following properties: (a) the tail triviality of a probability measure $\mu$ on the configuration space ${\boldsymbol\Upsilon}$; (b) the finiteness of the $L^2$-transportation-type distance…

Probability · Mathematics 2023-06-16 Kohei Suzuki

A class of two-species ({\it three-states}) bimolecular diffusion-limited models of classical particles with hard-core reacting and diffusing in a hypercubic lattice of arbitrary dimension is investigated. The manifolds on which the…

Statistical Mechanics · Physics 2009-10-31 Mauro Mobilia , Pierre-Antoine Bares

We propose a density matrix renormalization group approach to tackle a two-state system coupled to a bosonic bath with continuous spectrum. In this approach, the optimized phonon scheme is applied to several hundred phonon modes which are…

Strongly Correlated Electrons · Physics 2008-05-31 Hang Wong , Zhi-De Chen

The magnetic susceptibility of the quarter-filled one-dimensional extended Hubbard model is calculated using the density-matrix renormalization group technique. It is found that in the charge gap regime of the model ($U> 4t $ and $V > 2t$),…

Strongly Correlated Electrons · Physics 2007-05-23 S. Moukouri

We study two lattice models, the honeycomb lattice (HCL) and a special square lattice (SQL), both reducing to the Dirac equation in the continuum limit. In the presence of disorder (gaussian potential disorder and random vector potential),…

Mesoscale and Nanoscale Physics · Physics 2009-06-25 Klaus Ziegler , Balázs Dóra , Peter Thalmeier

We use Wilsons weak coupling ``momentum'' shell renormalization group method to show that two-particle interaction terms commonly neglected in bosonization of one-dimensional correlated electron systems with open boundaries are indeed…

Strongly Correlated Electrons · Physics 2009-12-04 S. Grap , V. Meden

We present a theoretical method to study driven-dissipative correlated systems on lattices with two spatial dimensions (2D). The steady-state density-matrix of the lattice is obtained by solving the master equation in a corner of the…

Quantum Physics · Physics 2015-08-26 S. Finazzi , A. Le Boité , F. Storme , A. Baksic , C. Ciuti

Inspired by earlier work on the band-gap problem in insulators, we reexamine the treatment of strongly correlated Hubbard-type models within density-functional theory. In contrast to previous studies, the density is fully parametrized by…

Strongly Correlated Electrons · Physics 2008-02-03 Arno Schindlmayr , R. W. Godby

The transport coefficients of dense polymeric fluids are approximately calculated from the microscopic intermolecular forces. The following finite molecular weight effects are discussed within the Polymer-Mode-Coupling theory (PMC) and…

Condensed Matter · Physics 2009-10-30 Matthias Fuchs , Kenneth S. Schweizer

We analyze the tagged particle diffusion for kinetically constrained models for glassy systems. We present a method, focusing on the Kob-Andersen model as an example, which allows to prove lower and upper bounds for the self diffusion…

Statistical Mechanics · Physics 2009-11-10 Cristina Toninelli , Giulio Biroli

Entanglement of the excitonic states in the system of two coupled semiconductor microcrystallites, whose sizes are much larger than the Bohr radius of exciton in bulk semiconductor but smaller than the relevant optical wavelength, is…

Quantum Physics · Physics 2009-08-03 Yu-xi Liu , Sahin K. Ozdemir , Adam Miranowicz , Masato Koashi , Nobuyuki Imoto