The density matrix renormalization group for strongly correlated electron systems: A generic implementation

Abstract
The purpose of this paper is (i) to present a generic and fully functional implementation of the density-matrix renormalization group (DMRG) algorithm, and (ii) to describe how to write additional strongly-correlated electron models and geometries by using templated classes. Besides considering general models and geometries, the code implements Hamiltonian symmetries in a generic way and parallelization over symmetry-related matrix blocks.

Title of program: DMRG++
Catalogue Id: AEDJ_v1_0

Nature of problem
Strongly correlated electrons systems, display a broad range of important phenomena, and their study is a major area of research in condensed matter physics. In this context, model Hamiltonians are used to simulate the relevant interactions of a given compound, and the relevant degrees of freedom. These studies rely on the use of tight-binding lattice models that consider electron localization, where states on one site can be labeled by spin and orbital degrees of freedom. The calculation of pro ...

Versions of this program held in the CPC repository in Mendeley Data
AEDJ_v1_0; DMRG++; 10.1016/j.cpc.2009.02.016
AEDJ_v2_0; DMRG++; 10.1016/j.cpc.2012.04.025

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)

本文旨在（i）展示密度矩阵重整化群（DMRG）算法的通用且功能完备的实现，以及（ii）描述如何利用模板类编写额外的强关联电子模型和几何结构。除了考虑一般模型和几何结构外，该代码以通用方式实现了哈密顿量对称性，并在与对称性相关的矩阵块上实现了并行化。

程序名称：DMRG++
目录编号：AEDJ_v1_0

问题性质
强关联电子系统展现出广泛的重要现象，其研究是凝聚态物理领域的主要研究方向之一。在此背景下，模型哈密顿量用于模拟给定化合物的相关相互作用及其相关自由度。这些研究依赖于紧束缚晶格模型的使用，该模型考虑了电子局域性，其中一个位点的状态可以由自旋和轨道自由度来标记。计算过程...（此处省略部分内容，以保持原文格式）

CPC代码库中Mendeley数据存储的此程序版本
AEDJ_v1_0；DMRG++；10.1016/j.cpc.2009.02.016
AEDJ_v2_0；DMRG++；10.1016/j.cpc.2012.04.025

该程序已从贝尔法斯特女王大学（1969-2018）保存的CPC程序库中导入。