Quantum spin pump in S = 1/2 antiferromagnetic chains -holonomy of phase operators in sine-gordon theory-

Journal of the Physical Society of Japan

Volumn 74, Issue 4, 2005, Pages 1214-1223

  Shindou, Ryuichi ^a,b  

^a UNIVERSITY OF TOKYO   (Japan)

^b INST OF PHYS AND CHEMICAL RESEARCH   (Japan)

Author keywords

Dirac monopole; Field induced spin gap systems; Landau Zener tunneling; Phase operator; Quantized spin transport; Sine Gordon theory; Topological stability

Indexed keywords

EID: 21744448915     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.74.1214     Document Type: Article

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70. +(0) denotes the phase operator at the midpoint of two contacts. This backscattering potential turns out to be relevant in the presence of repulsive electron-electron interactions and tunneling probability of spins between two contacts becomes vanishing. As a consequence of this vanishing tunneling probability of spins (TPS), number of spins transported between these two contacts is also quantized in their work. Even though our work treats a pumping in macro-scale systems and is different from their work which is about meso (nano)-scale systems, there is an interesting correspondence between these two works. Namely, in both stories, quantizations of spin transports result from the vanishing TPS between two "contacts". Two contacts in their configurations correspond to the two sample boundaries in this paper and TPS between these two "contacts", namely tunneling probability between the state of eq. (26) and that of eq. (27) decreases exponetially in thermodynamic limit, which is also a necessity of the quantized spin transfers in this paper (see §3).