Lieb-Mattis ferrimagnetism in magnetic semiconductors
نویسندگان
چکیده
منابع مشابه
Lieb-Schultz-Mattis in Higher Dimensions
A generalization of the Lieb-Schultz-Mattis theorem to higher dimensional spin systems is shown. The physical motivation for the result is that such spin systems typically either have long-range order, in which case there are gapless modes, or have only short-range correlations, in which case there are topological excitations. The result uses a set of loop operators, analogous to those used in ...
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Michael Freedman,1 Chetan Nayak,1,2 and Kirill Shtengel3,4,* 1Microsoft Research, Station Q, CNSI Building, University of California, Santa Barbara, California 93106, USA 2Department of Physics, University of California, Santa Barbara, California 93106, USA 3Department of Physics and Astronomy, University of California, Riverside, California 92521, USA 4California Institute of Technology, Pasad...
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For a large class of finite-range quantum spin models with half-integer spins, we prove that uniqueness of the ground state implies the existence of a low-lying excited state. For systems of linear size L, of arbitrary finite dimension, we obtain an upper bound on the excitation energy (i.e., the gap above the ground state) of the form (C logL)/L. This result can be regarded as a multi-dimensio...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2016
ISSN: 2469-9950,2469-9969
DOI: 10.1103/physrevb.93.214433