Stripe Ansatzs from Exactly Solved Models

Details Stripe Ansatzs from Exactly Solved Models Stripe Ansatzs from Exactly Solved Models

2001-01-30

arxiv.org/abs/cond-mat/0101458v2

Physics

Condensed Matter

Strongly Correlated Electrons

REVTEX4.b4 file, 10 pages, 2 ps Figures. Revised version to appear in PRB

Scientific paper

10.1103/PhysRevB.64.075117

Using the Boltzmann weights of classical Statistical Mechanics vertex models we define a new class of Tensor Product Ansatzs for 2D quantum lattice systems, characterized by a strong anisotropy, which gives rise to stripe like structures. In the case of the six vertex model we compute exactly, in the thermodynamic limit, the norm of the ansatz and other observables. Employing this ansatz we study the phase diagram of a Hamiltonian given by the sum of XXZ Hamiltonians along the legs coupled by an Ising term. Finally, we suggest a connection between the six and eight-vertex Anisotropic Tensor Product Ansatzs, and their associated Hamiltonians, with the smectic stripe phases recently discussed in the literature.

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