Transport in thermal equilibrium, gapless modes, and anomalies
Publications Mathématiques de l'IHÉS, Volume S88  (1998), p. 81-97
@article{PMIHES_1998__S88__81_0,
     author = {Fr\"ohlich, J\"urg},
     title = {Transport in thermal equilibrium, gapless modes, and anomalies},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     publisher = {Institut des Hautes \'Etudes Scientifiques},
     volume = {S88},
     year = {1998},
     pages = {81-97},
     zbl = {0994.81152},
     mrnumber = {1667902},
     language = {en},
     url = {http://www.numdam.org/item/PMIHES_1998__S88__81_0}
}
Fröhlich, Jürg. Transport in thermal equilibrium, gapless modes, and anomalies. Publications Mathématiques de l'IHÉS, Volume S88 (1998) , pp. 81-97. http://www.numdam.org/item/PMIHES_1998__S88__81_0/

[0] A. Yu. Alekseev, V.V. Cheianov, and J. Fröhlich, Phys. Rev. B 54, R 17 320 (1996);

A. Yu. Alekseev, V.V. Cheianov, and J. Fröhlich, Universality of transport properties in equilibrium, Goldstone theorem and chiral anomaly, subm. for publication.

[1] J. Fröhlich and T. Kerler, Nucl. Phys. B. 354, 369-417 (1991). | MR 1103058

J. Fröhlich and E. Thiran, J. Stat. Phys. 76, 209-283 (1994). | MR 1297877 | Zbl 0839.76101

J. Fröhlich, T. Kerler, U.M. Studer and E. Thiran, Nucl. Phys. B 453 [FS], 670-704 (1995). | MR 1358783 | Zbl 1003.81584

J. Fröhlich, U.M. Studer and E. Thiran, J. Stat. Phys. 86, 821-897 (1997). | MR 1438972 | Zbl 0952.81503

[2] R.E. PRANGE and S.M. GIRVIN (eds.), The Quantum Hall Effect , 2nd ed., Graduate Texts in Contemporary Physics , Springer-Verlag, Berlin , Heidelberg, New York 1990. M. STONE (ed.), Quantum Hall Effect, World Scientific Publ. Co., Singapore 1992.

[3] J. Fröhlich and U.M. Studer, Rev. Mod. Phys. 65, 733-802 (1993). | MR 1252608

[4] B.J. Van Wees et al., Phys. Rev. Lett. 60, 848 (1988).

[5] A. Yacoby et al., Phys. Rev. Lett. 77, 4612 (1996 ).

[6] D. Ruelle , Statistical Mechanics (Rigorous Results, W.A. Benjamin , New York, Amsterdam 1969. O. Bratteli and D. Robinson, Operator Algebras and Quantum Statistical Mechanics, vol. I and II, Springer-Verlag , Berlin, Heidelberg, New York 1979. | MR 289084 | Zbl 0177.57301

[7] R. Jackiw , in S.B. Treiman, R. Jackiw and D.J. Gross, CurrentAlgebra and Its Applications, Princeton University Press, Princeton NJ, 1972. | MR 323263

L. Alvarez-Gaumé and E. Witten, Nucl. Phys. B 234, 269-330 (1983). | MR 736803

[8] S. Tomonaga , Progr. Theor. Phys. 5, 544 (1950).

J.M. Luttinger, J. Math. Phys. 4,1154 (1963). | MR 154649

D.C. Mattis and E.H. Lieb, J. Math. Phys. 6, 304 (1965). | MR 172638

J. Sólyom, Adv. Phys. 28, 209 (1979).

F.D.M. Haldane, J. Phys. C 14, 2585 (1981 ).

[9] N. Read, Phys. Rev. Lett. 65,1502 (1990).

[10] J. Fröhlich et al., The Fractional Quantum Hall Effect, Chern-Simons Theory, and Integral Lattices, in Proc. of ICM '94, S.D. Chatterji (ed.), Birkhäuser Verlag , Basel, Boston, Berlin 1995. | Zbl 0849.58001