Density matrix renormalization group (DMRG) for interacting spin chains and ladders

Dey, D and Parvej, A and Das, S and Saha, SK and Kumar, M and Ramasesha, S and Soos, ZG (2023) Density matrix renormalization group (DMRG) for interacting spin chains and ladders. In: Journal of Chemical Sciences, 135 (2).

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Abstract

Abstract: 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 the dimension of the truncated Hilbert space constant. DMRG algorithms are adapted to open chains with inversion symmetry at the central site, to cyclic chains, to weakly coupled chains, and to low-T thermodynamics. The motivation is physical properties rather than energy accuracy. The algorithms are applied to the edge states of linear Heisenberg antiferromagnets with spin S≥ 1 / 2 , the quantum phases of a frustrated spin-1/2 chain with an exchange between first and second neighbors, a spin-1/2 ladder with skewed rungs, and the spin-Peierls transitions of an organic and an inorganic crystal. Graphical abstract: The density matrix renormalization group is anumerical technique for studying the ground stateproperties of low-dimensional quantum manybody systems. Its application to the quantum spinchain and ladder systems is reviewed.[Figure not available: see fulltext.].

Item Type:	Journal Article
Publication:	Journal of Chemical Sciences
Publisher:	Springer
Additional Information:	The copyright for this article belongs to Springer.
Keywords:	Antiferromagnetic materials; Degrees of freedom (mechanics); Ladders; Matrix algebra; Quantum theory; Spin dynamics; Statistical mechanics; Thermodynamics, Density matrix renormalization group; Density matrix renormalization group methods; Heisenberg spin chains; Lowest energy state; Open chain; Skewed ladder; Smallest systems; Spin chains; Spin ladders; Spin Peierls transitions, Linear systems
Department/Centre:	Division of Chemical Sciences > Solid State & Structural Chemistry Unit
Date Deposited:	21 Apr 2023 10:06
Last Modified:	21 Apr 2023 10:06
URI:	https://eprints.iisc.ac.in/id/eprint/81360

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