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• W1837348532 abstract "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 choice of spin S>1/2 (for S=1/2 this was already known); 2) Characterization of one-dimensional droplet states as ground states of the spin-1/2 model with up spin boundary fields; 3) An upper bound for the spectral gap above the spin-1/2 interface ground states in dimension two and higher. The upper bound vanishes as 1/R^2, where R is the linear size of the system. This thesis contains research performed in collboration with other authors: O. Bolina, P. Contucci, T. Koma, B. Nachtergaele." @default.
• W1837348532 created "2016-06-24" @default.
• W1837348532 creator A5030705406 @default.
• W1837348532 date "2001-06-23" @default.
• W1837348532 modified "2023-09-27" @default.
• W1837348532 title "Some properties for the low-lying spectrum of the ferromagnetic, quantum XXZ spin system" @default.
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