The density-matrix renormalization group applied to transfer matrices: Static and dynamical properties of one-dimensional quantum systems at finite temperature

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dc.creatorGlocke, S.
dc.creatorKlümper, A.
dc.creatorSirker, J.
dc.date2006-10-25
dc.date.accessioned2026-07-07T08:50:25Z
dc.date.available2026-07-07T08:50:25Z
dc.descriptionThe density-matrix renormalization group (DMRG) applied to transfer matrices allows it to calculate static as well as dynamical properties of one-dimensional quantum systems at finite temperature in the thermodynamic limit. To this end the quantum system is mapped onto a two-dimensional classical system by a Trotter-Suzuki decomposition. Here we discuss two different mappings: The standard mapping onto a two-dimensional lattice with checkerboard structure as well as an alternative mapping introduced by two of us. For the classical system an appropriate quantum transfer matrix is defined which is then treated using a DMRG scheme. As applications, the calculation of thermodynamic properties for a spin-1/2 Heisenberg chain in a staggered magnetic field and the calculation of boundary contributions for open spin chains are discussed. Finally, we show how to obtain real time dynamics from a classical system with complex Boltzmann weights and present results for the autocorrelation function of the XXZ-chain.
dc.description14 pages, 9 figures, Lecture notes WE-Heraeus summerschool 'Computational Many-Particle Physics', Greifswald 2006
dc.identifierhttps://arxiv.org/abs/cond-mat/0610689
dc.identifierhttp://arxiv.org/abs/cond-mat/0610689
dc.identifierLecture Notes in Physics, Vol. 739: Computational Many-Particle Physics (Springer, Berlin, 2008)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144602
dc.subjectStrongly Correlated Electrons
dc.titleThe density-matrix renormalization group applied to transfer matrices: Static and dynamical properties of one-dimensional quantum systems at finite temperature
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