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Condensed Matter

arXiv:cond-mat/9511044 (cond-mat)
[Submitted on 9 Nov 1995]

Title:Numerical and approximate analytical results for the frustrated spin-1/2 quantum spin chain

Authors:R. J. Bursill, G. A. Gehring (Department of Physics, University of Sheffield), D. J. J. Farnell, J.B. Parkinson, Chen Zeng (Department of Mathematics, UMIST), T. Xiang (IRC, University of Cambridge)
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Abstract: We study the $T=0$ frustrated phase of the $1D$ quantum spin-$\frac 12$ system with nearest-neighbour and next-nearest-neighbour isotropic exchange known as the Majumdar-Ghosh Hamiltonian. We first apply the coupled-cluster method of quantum many-body theory based on a spiral model state to obtain the ground state energy and the pitch angle. These results are compared with accurate numerical results using the density matrix renormalisation group method, which also gives the correlation functions. We also investigate the periodicity of the phase using the Marshall sign criterion. We discuss particularly the behaviour close to the phase transitions at each end of the frustrated phase.
Comments: 17 pages, Standard Latex File + 7 PostScript figures in separate file. Figures also can also be requested from ph1rb@sheffield.this http URL
Subjects: Condensed Matter (cond-mat); High Energy Physics - Theory (hep-th)
Report number: SHEF-PHYS-1097422
Cite as: arXiv:cond-mat/9511044
  (or arXiv:cond-mat/9511044v1 for this version)
  https://doi.org/10.48550/arXiv.cond-mat/9511044
Journal reference: J.Phys. C7 (1995) 8605
Related DOI: https://doi.org/10.1088/0953-8984/7/45/016

Submission history

From: R. Bursill [view email]
[v1] Thu, 9 Nov 1995 10:41:09 UTC (13 KB)
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