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10 Nov 2010: Berry phase. φBerry =. 2= 2π. Aq(r) d2r. B = B he q(r). ... Skyrmion:. (B B) d2r = h. e 1 extra charge e.

4 Apr 2010: The renormalised parameters must be analytic functions, andhence expandable as. {t(b; t, h) = A(b)t B(b)h O(t2, h2, th),h(b; t, h) = C(b)t ... However, the known behaviour at t = h = 0 rules out a constant term in the expansion,and to prevent a

4 Apr 2010: The renormalised parametersmust be analytic functions, and hence expandable as. {t(b; t, h) = A(b)t B(b)h O(t2, h2, th),h(b; t, h) = C(b)t ... However, the known behaviour at t = h = 0 rules out a constant term in theexpansion, and to prevent a

12 Aug 2010: func-tions, corresponding to filled CF shells on the sphere, arediscussed in Appendix B. ... is the density of CFs in layer and B = B B.