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Given a Hamiltonian with a continuous symmetry one can generally factorize that symmetry and consider the dynamics on invariant Hilbert Spaces. In Statistical Mechanics this procedure is known as the vertex-IRF map, and in certain cases,…

统计力学 · 物理学 2009-10-28 G. Sierra , T. Nishino

Density matrix renormalization group (DMRG) calculations on large systems (up to 3096 spins) indicate that the ground state of the Heisenberg model on a 3-chain Kagome strip is spontaneously dimerized. This system has degenerate ground…

强关联电子 · 物理学 2009-10-31 Steven R. White , Rajiv R. P. Singh

The one-dimensional (1D) $t-J$ model is investigated using the density matrix renormalization group (DMRG) method. We report for the first time a generalization of the DMRG method to the case of arbitrary band filling and prove a theorem…

凝聚态物理 · 物理学 2009-10-28 Liang Chen , S. Moukouri

The density matrix renormalization group (DMRG) has been extended to study quantum phase transitions on random graphs of fixed connectivity. As a relevant example, we have analysed the random Ising model in a transverse field. If the…

无序系统与神经网络 · 物理学 2009-11-11 Javier Rodriguez-Laguna

Highly frustrated spin systems such as the kagome lattice (KL) are a treasure trove of new quantum states with large entanglements. We thus study the spin-$\frac{1}{2}$ Heisenberg model on a kagome-strip chain (KSC), which is…

强关联电子 · 物理学 2021-07-16 Katsuhiro Morita , Shigetoshi Sota , Takami Tohyama

I report results of a density matrix renormalization group (DMRG) study of a model for the two dimensional spin-gapped system CaV$_4$O$_9$. This study represents the first time that DMRG has been used to study a two dimensional system on…

凝聚态物理 · 物理学 2009-10-28 Steven R. White

The half-filled Hubbard model on the Bethe lattice with coordination number $z=3$ is studied using the density-matrix renormalization group (DMRG) method. Ground-state properties such as the energy $E$, average local magnetization $<\hat…

强关联电子 · 物理学 2007-05-23 Marie-Bernadette Lepetit , Maixent Cousy , G. M. Pastor

The density matrix renormalization group (DMRG) method is applied to the anisotropic Heisenberg chain at finite temperatures. The free energy of the system is obtained using the quantum transfer matrix which is iteratively enlarged in the…

统计力学 · 物理学 2009-10-30 N. Shibata

A formulation of the Ginzburg-Landau-Wilson version of the partition function of a system with a continuously varying order parameter as a transfer matrix calculation allows for the application of methods based on the Density Matrix…

统计力学 · 物理学 2009-11-07 William Lay , Joseph Rudnick

The density matrix renormalization group (DMRG) method and its applications to finite temperatures and two-dimensional systems are reviewed. The basic idea of the original DMRG method, which allows precise study of the ground state…

强关联电子 · 物理学 2009-11-10 Naokazu Shibata

By using Density Matrix Renormalization Group (DMRG) technique we study the phase diagram of 1D extended anisotropic Heisenberg model with ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor interactions. We analyze…

强关联电子 · 物理学 2015-11-24 Evgeny Plekhanov , Adolfo Avella , Ferdinando Mancini

An interaction-round-a-face density-matrix renormalization-group (IRF-DMRG) method is developed for higher integer spin chain models which are rotational invariant. The expressions of the IRF weights associated with the nearest-neighbor…

统计力学 · 物理学 2007-05-23 Tatsuaki Wada

We consider the anisotropic Heisenberg spin-1/2 chain in a transverse magnetic field at zero temperature. We first determine all components of the dynamical structure factor by combining exact results with a mean-field approximation…

强关联电子 · 物理学 2009-11-10 J. S. Caux , F. H. L. Essler , U. Loew

In this work, we simulate the electron dynamics in molecular systems with the Time-Dependent Density Matrix Renormalization Group (TD-DMRG) algorithm. We leverage the generality of the so-called tangent-space TD-DMRG formulation and design…

化学物理 · 物理学 2021-06-08 Alberto Baiardi

By exploiting density-matrix renormalization group techniques, we investigate the dynamical spin structure factor of a spin-1/2 Heisenberg chain with ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor exchange…

强关联电子 · 物理学 2015-07-17 Hiroaki Onishi

We apply the density matrix renormalization group (DMRG) method to a non-equilibrium problem: the asymmetric exclusion process in one dimension. We study the stationary state of the process to calculate the particle density profile…

统计力学 · 物理学 2009-10-30 Yasuhiro Hieida

We study the `flux noise' spectrum of random-bond quantum Heisenberg spin systems using a real-space renormalization group (RSRG) procedure that accounts for both the renormalization of the system Hamiltonian and of a generic probe that…

无序系统与神经网络 · 物理学 2015-11-30 Kartiek Agarwal , Eugene Demler , Ivar Martin

We investigate the density matrix renormalization group (DMRG) discovered by White and show that in the case where the renormalization eventually converges to a fixed point the DMRG ground state can be simply written as a ``matrix product''…

凝聚态物理 · 物理学 2009-10-28 Stefan Rommer , Stellan Ostlund

We present a numerical implementation of the density matrix renormalization group (DMRG) using the discrete variable representation (DVR) basis set. One main advantage of using the local DVR basis sets is that the computations of…

量子物理 · 物理学 2024-11-13 Bing Gu

We study the emergence of several magnetic phases in dipolar bosonic gases subject to three-body loss mechanism employing numerical simulations based on the density matrix renormalization group(DMRG) algorithm. After mapping the original…

量子气体 · 物理学 2011-04-14 M. Dalmonte , M. Di Dio , L. Barbiero , F. Ortolani