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Instability of interfaces in the antiferromagnetic XXZ chain at zero temperature
Nilanjana Datta, Tom Kennedy
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…
Effective Hamiltonians and Phase Diagrams for Tight-Binding Models
Nilanjana Datta, Roberto Fernandez, Juerg Froehlich
We present rigorous results for several variants of the Hubbard model in the strong-coupling regime. We establish a mathematically controlled perturbation expansion which shows how…
Rigidity of interfaces in the Falicov-Kimball model
Nilanjana Datta, Alain Messager, Bruno Nachtergaele
We analyze the thermodynamic properties of interfaces in the three-dimensional Falicov Kimball model, which can be viewed as a primitive quantum lattice model of crystalline matter…