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We develop a renormalization theory of non-perturbative dissipative H\'enon-like maps with combinatorics of bounded type. The main novelty of our approach is the incorporation of Pesin theoretic ideas to the renormalization method, which…

Dynamical Systems · Mathematics 2024-11-14 Jonguk Yang

We study the majority rule transformation applied to the Gibbs measure for the 2--D Ising model at the critical point. The aim is to show that the renormalized hamiltonian is well defined in the sense that the renormalized measure is…

High Energy Physics - Theory · Physics 2009-10-30 Emilio N. M. Cirillo , E. Olivieri

In a recent Letter [Phys. Rev. Lett. 88, 256403(2002), cond-mat/0109158] Cazalilla and Marston proposed a time-dependent density- matrix renormalization group (TdDMRG) algorithm for the accurate evaluation of out-of-equilibrium properties…

Strongly Correlated Electrons · Physics 2007-05-23 H. G. Luo , T. Xiang , X. Q. Wang

We present a new hybrid multiconfigurational method based on the concept of range-separation that combines the density matrix renormalization group approach with density functional theory. This new method is designed for the simultaneous…

We study the exciton localization and resulting optical response for disordered tubular aggregates of optically active molecules. It has been shown previously that such tubular structures allow for excitons delocalized over more than a…

Chemical Physics · Physics 2020-06-24 Anna S. Bondarenko , Thomas L. C. Jansen , Jasper Knoester

The generalized constrained search formalism is used to address the issues concerning density-to-potential mapping for excited states in time-independent density-functional theory. The multiplicity of potentials for any given density and…

Materials Science · Physics 2015-06-09 Prasanjit Samal , Subrata Jana , Sourabh S. Chauhan

We investigate local and global properties of the one-dimensional Bose-Hubbard model with an external confining potential, describing an atomic condensate in an optical lattice. Using quantum Monte Carlo techniques we demonstrate that a…

Statistical Mechanics · Physics 2009-11-10 Sara Bergkvist , Patrik Henelius , Anders Rosengren

The symmetrized Density-Matrix-Renormalization-Group (DMRG) method is used to study linear and nonlinear optical properties of Free base porphine and metallo-porphine. Long-range interacting model, namely, Pariser-Parr-Pople (PPP) model is…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Manoranjan Kumar , Y. Anusooya Pati , S. Ramasesha

In this second of three articles on the optical absorption of electrons in a half-filled Peierls-distorted chain we present exact results for strongly correlated tight-binding electrons. In the limit of a strong on-site interaction $U$ we…

Condensed Matter · Physics 2015-06-25 F. Gebhard , K. Bott , M. Scheidler , P. Thomas , S. W. Koch

We present up to date investigations of the antiferromagnetic Heisenberg icosidodecahedron by means of the Density Matrix Renormalization Group method. We compare our results with modern Correlator Product State as well as Lanczos…

Strongly Correlated Electrons · Physics 2012-10-22 Joerg Ummethum , Juergen Schnack , Andreas M. Laeuchli

We use the density matrix renormalization group (DMRG) to perform a detailed study of the critical properties of the two dimensional Q state Potts model, including the magnetization and energy-density profiles, bulk and surface critical…

Condensed Matter · Physics 2009-10-30 Enrico Carlon , Ferenc Igloi

We investigate the particle-hole pair excitations of dipolar molecules in optical lattice, which can be described with an extended Bose-Hubbard model. For strong enough dipole-dipole interaction, the particle-hole pair excitations can form…

Quantum Gases · Physics 2015-06-03 Yi-Cai Zhang , Han-Ting Wang , Shun-Qing Shen , W. M. Liu

We consider a chain of atoms that are bound together by a harmonic force. Spin-1/2 electrons that move between neighboring chain sites (H\"uckel model) induce a lattice dimerization at half band filling (Peierls effect). We supplement the…

Strongly Correlated Electrons · Physics 2017-03-08 Máté Timár , Gergely Barcza , Florian Gebhard , Örs Legeza

The dynamic hyperpolarizability of a particle bound by the one-dimensional $\delta$-function potential is obtained in closed form. On the first step, we analyze the singular structure of the non-linear response function as given by the…

Atomic Physics · Physics 2009-10-15 Khompat Satitkovitchai

We give a lower bound on the diffusion coefficient of a polymer chain in an entanglement network with kinematic disorder, which is obtained from an exact calculation in a modified Rubinstein-Duke lattice gas model with periodic boundary…

Soft Condensed Matter · Physics 2009-11-07 Richard D. Willmann

Dukelsky, Mart\'in-Delgado, Nishino and Sierra (Europhys. Lett., 43, 457 (1998) - hereafter referred to as DMNS) investigated the matrix product method (MPM), comparing it with the infinite-size density matrix renormalization group (DMRG).…

Strongly Correlated Electrons · Physics 2009-11-07 I. P. McCulloch , M. Gulacsi

We consider the tensors generating matrix product states and density operators in a spin chain. For pure states, we revise the renormalization procedure introduced by F. Verstraete et al. in 2005 and characterize the tensors corresponding…

Quantum Physics · Physics 2025-01-20 J. I. Cirac , D. Perez-Garcia , N. Schuch , F. Verstraete

The Chiral Random Matrix Model or the Gaussian Penner Model (generalized Laguerre ensemble) is re-examined in the light of the results which have been found in double well matrix models [D97,BD99] and subtleties discovered in the single…

Statistical Mechanics · Physics 2007-05-23 N. Deo

We have performed extensive density matrix renormalization group (DMRG) studies of the Hubbard model on a honeycomb ladder. The band structure (with Hubbard U=0) exhibits an unusual quadratic band touching at half filling, which is…

Strongly Correlated Electrons · Physics 2015-06-16 G. Karakonstantakis , L. Liu , R. Thomale , S. A. Kivelson

The density-matrix renormalization group is employed to investigate a harmonically-trapped imbalanced Fermi condensate based on a one-dimensional attractive Hubbard model. The obtained density profile shows a flattened population difference…

Strongly Correlated Electrons · Physics 2008-06-20 Masaki Tezuka , Masahito Ueda
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