Finite Temperature DMRG Investigation of the Spin-Peierls Transition in CuGeO${}_3$

Abstract

We present a numerical study of thermodynamical properties of dimerized frustrated Heisenberg chains down to extremely low temperatures with applications to CuGeO${}_3$. A variant of the finite temperature density matrix renormalization group (DMRG) allows the study of the dimerized phase previously unaccessible to ab initio calculations. We investigate static dimerized systems as well as the instability of the quantum chain towards lattice dimerization. The crossover from a quadratic response in the free energy to the distortion field at finite temperature to nonanalytic behavior at zero temperature is studied quantitatively. Various physical quantities are derived and compared with experimental data for CuGeO${}_3$ such as magnetic dimerization, critical temperature, susceptibility and entropy.

LaTeX, 5 pages, 5 eps figures included

References in corpus (5)

• The spin-1/2 Heisenberg chain: thermodynamics, quantum criticality and spin-Peierls exponents
• Thermodynamics of the anisotropic Heisenberg chain calculated by the density matrix renormalization group method
• Reexamination of the microscopic couplings of the quasi one-dimensional antiferromagnet CuGeO_3
• Symmetry and dimension of the magnon dispersion of inorganic spin-Peierls systems
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• A nonperturbative Real-Space Renormalization Group scheme
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