Journal
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
Volume 76, Issue 11, Pages -Publisher
PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.76.113601
Keywords
non-Abelian Berry phases; quantum liquids; topological orders; t-J model; strongly correlated electron
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Quantized Berry phases used as local order parameters in t-J models are studied. A texture pattern of the local order parameters is topologically stable due to the quantization of non-Abelian Berry phases defined by low-energy states below a spin gap, which exists in the large J/t case with a few electrons. We have confirmed that the itinerant singlets in the wide class of t-J models carry the nontrivial Berry phase pi. In the large J/t case for the one-dimensional t-J model, the Berry phases are uniformly pi when the number of electrons is N = 4n + 2 (n = 0, 1, 2,...).
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