Exact and Approximate Theoretical Techniques for Quantum Magnetism in Low Dimensions

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dc.creatorPati, Swapan K.
dc.creatorRamasesha, S.
dc.creatorSen, Diptiman
dc.date2001-06-29
dc.date.accessioned2026-07-07T02:41:56Z
dc.date.available2026-07-07T02:41:56Z
dc.descriptionQuantum magnetism in low dimensions has been one of the central areas of theoretical research for many decades now. One of the key reasons for the long standing interest in this field has been the existence of simplified models, which serve as paradigms for understanding the role of strong interactions in many-electron systems. Although simple, these models quite often can not be solved exactly. In this review, we discuss a variety of analytical and numerical methods, which treat the system in a systematic and controlled manner. The central method employed in all the studies is the density matrix renormalization group (DMRG) method. This is supported by small scale numerical exact calculations, and by analytical methods using field theoretic techniques. We have considered a number of magnetic systems, from magnetic clusters to extended lattices, and have found some novel quantum ground states and low-energy elementary excitations. In some cases, we have also employed the finite-temperature DMRG method to accurately compute the low-temperature thermodynamic properties such as specific heat and magnetic susceptibility.
dc.descriptionLaTeX, 81 pages including 29 eps figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0106621
dc.identifierhttp://arxiv.org/abs/cond-mat/0106621
dc.identifierMagnetism: Molecules to Materials IV, edited by J. S. Miller and M. Drillon (Wiley-VCH, Weinheim, 2003) pp 119-171
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17945
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.titleExact and Approximate Theoretical Techniques for Quantum Magnetism in Low Dimensions
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