Using the Boltzmann weights of classical statistical-mechanics vertex models we define a new class of tensor product Ansatze for two-dimensional quantum-lattice systems, characterized by a strong anisotropy, which gives rise to stripelike structures. In the case of the six-vertex model xe 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 Ansatze, and their associated Hamiltonians, with the smectic-stripe phases recently discussed in the literature.

Stripe ansätze from exactly solved models / M., Martín Delgado; Roncaglia, Marco; G., Sierra. - In: PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS. - ISSN 1098-0121. - 64:7(2001), p. 075117. [10.1103/PhysRevB.64.075117]

Stripe ansätze from exactly solved models

RONCAGLIA, MARCO;
2001

Abstract

Using the Boltzmann weights of classical statistical-mechanics vertex models we define a new class of tensor product Ansatze for two-dimensional quantum-lattice systems, characterized by a strong anisotropy, which gives rise to stripelike structures. In the case of the six-vertex model xe 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 Ansatze, and their associated Hamiltonians, with the smectic-stripe phases recently discussed in the literature.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2506080
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