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Probing the Kosterlitz-Thouless transiti...
Tomczak, P....
Probing the Kosterlitz-Thouless transition in 1D Heisenberg antiferromagnet based on topological properties of its ground state by Tomczak, P. ( Author )
N.A
25-09-2015
A Kosterlitz-Thouless phase transition in the ground state of an antiferromagnetic spin-12 Heisenberg chain with nearest and next-nearest-neighbor interactions is re-investigated from a different perspective: An unequivocal correspondence is found between components of the scalar product ⟨Ψ0|Ψ0⟩ and geometrical objects. One can classify these objects according to whether any two of them can be transformed into each other in a continuous way (belong to the same homotopy class). A finite size scaling of the "connection term`` ⟨Ψ0|∂Ψ0⟩ with respect to chain length (16, 18, 20, 22, 24 spins) for each homotopy class of above mentioned objects leads to the critical value of λ with rather high accuracy.
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http://arxiv.org/abs/1509.07571
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