• Corpus ID: 18120057

A continuum approximation for the excitations of the (1,1,...,1) interface in the quantum Heisenberg model

@inproceedings{Bolina1999ACA,
  title={A continuum approximation for the excitations of the (1,1,...,1) interface in the quantum Heisenberg model},
  author={Oscar Bolina and Pierluigi Contucci and Bruno Nachtergaele and Shannon Starr},
  year={1999}
}
It is shown that, with an appropriate scaling, the energy of low-lying excitations of the (1;1;:::;1) interface in the d-dimensional quantum Heisenberg model are given by the spectrum of the (d 1)-dimensional Laplacian on a suitable domain. 

Interfaces and droplets in quantum lattice models

This paper is a short review of recent results on interface states in the Falicov-Kimball model and the ferromagnetic XXZ Heisenberg model. More specifically, we discuss the following topics: 1) The

Instability of Interfaces in the Antiferromagnetic XXZ Chain at Zero Temperature

Abstract: For the antiferromagnetic, highly anisotropic XZ and XXZ quantum spin chains, we impose periodic boundary conditions on chains with an odd number of sites to force an interface (or kink)

Asymmetric Diffusion and the Energy Gap Above¶the 111 Ground State of the Quantum XXZ Model

Abstract: We consider the anisotropic three dimensional XXZ Heisenberg ferromagnet in a cylinder with axis along the 111 direction and boundary conditions that induce ground states describing an

The spectral gap for the ferromagnetic spin-J XXZ chain

We investigate the spectrum above the kink ground states of the spin J ferromagnetic XXZ chain. Our main theorem is that there is a non-vanishing gap above all ground states of this model for all

References

SHOWING 1-6 OF 6 REFERENCES

On the Spectra of the Kink for Ferromagnetic XXZ Models

We consider the kink (infinite volume nontranslationally invariant ground states) of the ferromagnetic XXZ models on the multi-dimensional lattices. We obtained the following results: (i) The pure

Finite-Volume Excitations of the¶111 Interface in the Quantum XXZ Model

Abstract: 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 bounded by

Anisotropic ferromagnetic quantum domains.

Ground states of the infinite q-deformed Heisenberg ferromagnet

We set up a general structure for the analysis of ``frustration-free ground states'', or ``zero-energy states'', i.e., states minimizing each term in a lattice interaction individually. The nesting

Low-lying spectrum of quantum interfaces

  • Abstracts of the AMS,
  • 1996

Low-lying spectrum of quantum interfaces, Abstracts of the AMS

  • Low-lying spectrum of quantum interfaces, Abstracts of the AMS
  • 1996