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A density matrix renormalisation group algorithm for quantum lattice systems with a large number of states per site

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 نشر من قبل Dr Robert J. Bursill
 تاريخ النشر 1998
  مجال البحث فيزياء
والبحث باللغة English
 تأليف R. J. Bursill




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A variant of Whites density matrix renormalisation group scheme which is designed to compute low-lying energies of one-dimensional quantum lattice models with a large number of degrees of freedom per site is described. The method is tested on two exactly solvable models---the spin-1/2 antiferromagnetic Heisenberg chain and a dimerised XY spin chain. To illustrate the potential of the method, it is applied to a model of spins interacting with quantum phonons. It is shown that the method accurately resolves a number of energy gaps on periodic rings which are sufficiently large to afford an accurate investigation of critical properties via the use of finite-size scaling theory.



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