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see also H.-B. Braun, D. Loss: Spin Parity Effects and Macroscopic Quantum Coherence of Bloch Walls. In: Quantum Tunneling of Magnetization - QTM'94. L. Gunther, B. Barbara (eds.) NATO ASI Series, Vol. 301 Dordrecht: Kluver 1996
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Wiley
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The Bloch wave vector ξ is integral and can assume only two independent values 0 and 1 in the first Brillouin zone. The number of states in each band is therefore only 2. This is obvious since the "crystal" here has length 2π and contains only two cells (i.e. wells). The number of states in each band is equal to the number of cells in the "crystal" for a one-dimensional lattice. See C. Kittel: Introduction to Solid State Physics. Fourth Edition (Wiley, 1971), p.314
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Nonvacuum Pseudoparticles, Quantum Tunneling and Metastability
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The calculation of tunneling-rate prefactors has been reported recently (A.Garg, G.-H.Kim: Phys. Rev. B45,12921 (1992);
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25544448646
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J. von Delft, C.L. Henley: Phys. Rev. B48,965 (1993)). For the difference with our method here see the remark after (32)
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Von Delft, J.1
Henley, C.L.2
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