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Matrix models of 2d quantum gravity coupled to matter field are investigated by the renormalized perturbational method, in which the matrix model Hamiltonian is represented by the equivalent vector model. By the saddle point method, the…

High Energy Physics - Theory · Physics 2009-10-28 Shinobu Hikami

Matrix models of 2d quantum gravity coupled to matter field are investigated by the renormalized perturbational method, in which the matrix model Hamiltonian is represented by the equivalent vector model. By the saddle point method, the…

Condensed Matter · Physics 2007-05-23 Shinobu Hikami

We propose an initialization procedure for the density-matrix renormalization group (DMRG): {\it the recursive sweep method}. In a conventional DMRG calculation, the infinite-algorithm, where two new sites are added to the system at each…

Strongly Correlated Electrons · Physics 2007-05-23 Masaki Tezuka

We present an overview of the Density Matrix Renormalization Group and its connections to Quantum Groups, Matrix Products and Conformal Field Theory. We emphasize some common formal structures in all these theories. We also propose…

Strongly Correlated Electrons · Physics 2007-05-23 G. Sierra , M. A. Martin-Delgado

We introduce the density matrix renormalization group (DMRG) method as an efficient computational tool for one-exciton approximations with off-diagonal disorder. This method allows us to reduce the computational effort by targetting only a…

Strongly Correlated Electrons · Physics 2007-05-23 M. A. Martin-Delgado , J. Rodriguez-Laguna , G. Sierra

A new numerical method for the solution of the Dynamical Mean Field Theory's self-consistent equations is introduced. The method uses the Density Matrix Renormalization Group technique to solve the associated impurity problem. The new…

Strongly Correlated Electrons · Physics 2016-08-31 Daniel J. Garcia , Karen Hallberg , Marcelo J. Rozenberg

We describe the use of the Density Matrix Renormalization Group method as a means of approximately solving large-scale nuclear shell-model problems. We focus on an angular-momentum-conserving variant of the method and report test results…

Nuclear Theory · Physics 2011-05-12 S. Pittel , N. Sandulescu

We report a way of obtaining a spin configuration snapshot, which is one of the representative spin configurations in canonical ensemble, in a finite area of infinite size two-dimensional (2D) classical lattice models. The corner transfer…

Statistical Mechanics · Physics 2015-06-24 K. Ueda , R. Otani , Y. Nishio , A. Gendiar , T. Nishino

Motivated by recent attempts to find nontrivial infrared fixed points in 4-dimensional lattice gauge theories, we discuss the extension of the renormalization group (RG) transformations to complex coupling spaces for O(N) models on LxL…

High Energy Physics - Lattice · Physics 2015-03-17 Y. Meurice , Haiyuan Zou

The density-matrix renormalization group method (DMRG) has established itself over the last decade as the leading method for the simulation of the statics and dynamics of one-dimensional strongly correlated quantum lattice systems. In the…

Strongly Correlated Electrons · Physics 2011-01-04 Ulrich Schollwoeck

The density matrix renormalization group (DMRG) method generates the low-energy states of linear systems of $N$ sites with a few degrees of freedom at each site by starting with a small system and adding sites step by step while keeping…

Strongly Correlated Electrons · Physics 2016-10-05 Manoranjan Kumar , Dayasindhu Dey , Aslam Parvej , S. Ramasesha , Zoltán G. Soos

We study the thermodynamics of the one-dimensional extended Hubbard model at half-filling using a density-matrix renormalization group method applied to transfer matrices. We show that the various phase transitions in this system can be…

Strongly Correlated Electrons · Physics 2007-11-04 S. Glocke , A. Klümper , J. Sirker

Systems of Y-junctions are interesting both from a fundamental viewpoint and because of their potential use in nanoscale devices. These systems can be studied numerically with the density matrix renormalization group(DMRG), but existing…

Strongly Correlated Electrons · Physics 2007-05-23 Haihui Guo , Steven R. White

We propose a generalization of the Grover-Sheng-Vishwanath model which, as solved by the density-matrix renormalization group, realizes the emergent supersymmetric criticality in the universality class of the even series of the…

Strongly Correlated Electrons · Physics 2019-09-02 Chun Chen

We apply a new anticommuting path integral technique to clarify the fermionic structure of the 2D Ising model with quenched site dilution. In the $N$-replica scheme, the model is explicitly reformulated as a theory of interacting fermions…

Disordered Systems and Neural Networks · Physics 2009-10-30 V. N. Plechko

The Renormalization Group flow equations obtained by means of a proper time regulator are used to analyze the restoration of the discrete chiral symmetry at non-zero density and temperature in the Gross-Neveu model in d=2+1 dimensions. The…

High Energy Physics - Theory · Physics 2009-11-10 P. Castorina , M. Mazza , D. Zappala'

I review the Thirring model in 2+1$d$ dimensions, focussing in particular on possible strongly-interacting UV-stable fixed points of the renormalisation group, corresponding to a continuous phase transition where a U($2N$) global symmetry…

High Energy Physics - Lattice · Physics 2021-05-21 Simon Hands

The ground-state and low-energy excitations of quantum Hall systems are studied by the density matrix renormalization group (DMRG) method. From the ground-state pair correlation functions and low-energy excitions, the ground-state phase…

Strongly Correlated Electrons · Physics 2009-06-08 Naokazu Shibata

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

A trial application of the method of Feynman-Kleinert approximants is made to perturbation series arising in connection with the lattice Schwinger model. In extrapolating the lattice strong-coupling series to the weak-coupling continuum…

High Energy Physics - Lattice · Physics 2009-11-10 T. M. R. Byrnes , C. J. Hamer , Zheng Weihong , S. Morrison