@article{AIHPA_1998__69_4_441_0, author = {Nakano, Fumihiko}, title = {Calculation of the Hall conductivity by Abel limit}, journal = {Annales de l'I.H.P. Physique th\'eorique}, volume = {69}, year = {1998}, pages = {441-455}, mrnumber = {1659579}, zbl = {0928.47053}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPA_1998__69_4_441_0} }
Nakano, Fumihiko. Calculation of the Hall conductivity by Abel limit. Annales de l'I.H.P. Physique théorique, Tome 69 (1998) pp. 441-455. http://gdmltest.u-ga.fr/item/AIHPA_1998__69_4_441_0/
[AS] Quantization of the Hall conductance for general multiparticle Schrödinger Hamiltonians, Phys. Rev. Lett., Vol. 54, 1985, pp. 259-262. | MR 773033
and ,[ASS] Charge deficiency, charge transport and comparison of dimensions, Commun. Math. Phys., Vol. 159, 1994, pp. 399-422. | MR 1256994 | Zbl 0822.47056
, , and ,[ASY] Adiabatic theorems and applications to the quantum Hall effect, Vol. 110, 1987, pp. 33-49. | MR 885569 | Zbl 0626.58033
, and ,[B1] Ordinary quantum Hall effect and non-commutative cohomology, in Proceedings of the Bad Schandau conference on localization, W. WELLER, P. ZIECHE, Eds., Teubner-Verlag, Leipzig, 1987.
,[B2] The non-commutative geometry of the quantum Hall effect, J. Math. Phys., Vol. 35 (10), 1994, pp. 5373-5451. | MR 1295473 | Zbl 0824.46086
, , ,[B3] Gap labeling theorems for Schrödinger operators, in from number theory to physics, M. WALDSCHMIDT, P. MOUSSA, J. LUCK, C. ITZYKSON Eds., Springer-Verlag, Berlin, 1991. | MR 1221111 | Zbl 0833.47056
,[JN] Mapping properties of functions of Schrödinger operators between Sobolev spaces and Besov spaces, Advanced Studies in Pure Math., Vol. 23, 1994, pp. 187-210. | Zbl 0815.47012
and ,[L] Quantized hall conductivity in two dimensions, Phys. Rev., Vol. B23, 1981, p. 5632.
,[NB] Low energy bands do not contribute to quantum Hall effect, Commun. Math. Phys., Vol. 31, 1990, pp. 283-305. | MR 1065673 | Zbl 0707.46050
and ,[S] Schrödinger semigroups, Bull. Amer. Mech. Sci., Vol. 7, 1982, pp. 447-526. | MR 670130 | Zbl 0524.35002
,[TKNN] Quantum Hall conductance in a two dimensional periodic potential, Phys. Rev. Lett, Vol. 49, 1982, p.40.
, , and ,[Y] The Wk,p-continuity of wave operators for Schrödinger operators III, even dimensional cases m ≥ 4, J. Math. Sci. Univ. of Tokyo, Vol. 2, 1995, pp. 311-346. | MR 1366561 | Zbl 0841.47009
,