18 citations · 47 across the 18 of their papers we have counts for
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Path integral representations for the spin-pinned quantum XXZ chain
Oscar Bolina, Pierluigi Contucci, Bruno Nachtergaele
Two discrete path integral formulations for the ground state of a spin-pinned quantum anisotropic XXZ Heisenberg chain are introduced. Their properties are discussed and two recurs…
A continuum approximation for the excitations of the (1,1,...,1) interface in the quantum Heisenberg model
Oscar Bolina, Pierluigi Contucci, Bruno Nachtergaele +1
It is shown that, with an appropriate scaling, the energy of low-lying excitations of the (1,1,...,1) interface in the -dimensional quantum Heisenberg model are given by the spe…
Finite-volume excitations of the 111 interface in the quantum XXZ model
Oscar Bolina, Pierluigi Contucci, Bruno Nachtergaele +1
We show that the ground states of the three-dimensional XXZ Heisenberg ferromagnet with a 111 interface have excitations localized in a subvolume of linear size R with energies bou…
Path Integral Representation for Interface States of the Anisotropic Heisenberg Model
Oscar Bolina, Pierluigi Contucci, Bruno Nachtergaele
We develop a geometric representation for the ground state of the spin-1/2 quantum XXZ ferromagnetic chain in terms of suitably weighted random walks in a two-dimensional lattice.…
Bounds on Correlation Functions of Quantum Rotators
Oscar Bolina, J. Rodrigo Parreira
We derive a McBryan-Spencer bound to the correlation function of a one-dimensional array of quantum rotators in the Villain approximation of the cosine interaction. We obtain the p…