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math-ph2001
The spectral gap for the ferromagnetic spin-J XXZ chain
Tohru Koma, Bruno Nachtergaele, Shannon Starr
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 thi…
math-ph2001
Some properties for the low-lying spectrum of the ferromagnetic, quantum XXZ spin system
Shannon Starr
In this thesis we present three results about the ferromagnetic quantum XXZ model: 1) Existence of a spectral gap above all infinite-volume ground states in one dimension for any c…