Transport in thermal equilibrium, gapless modes, and anomalies
Publications Mathématiques de l'IHÉS, Les relations entre les mathématiques et la physique théorique. Festschrift for the 40th anniversary of the IHÉS, Tome S88 (1998), pp. 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},
     pages = {81--97},
     publisher = {Institut des Hautes \'Etudes Scientifiques},
     volume = {S88},
     year = {1998},
     mrnumber = {1667902},
     zbl = {0994.81152},
     language = {en},
     url = {http://www.numdam.org/item/PMIHES_1998__S88__81_0/}
}
TY  - JOUR
AU  - Fröhlich, Jürg
TI  - Transport in thermal equilibrium, gapless modes, and anomalies
JO  - Publications Mathématiques de l'IHÉS
PY  - 1998
SP  - 81
EP  - 97
VL  - S88
PB  - Institut des Hautes Études Scientifiques
UR  - http://www.numdam.org/item/PMIHES_1998__S88__81_0/
LA  - en
ID  - PMIHES_1998__S88__81_0
ER  - 
%0 Journal Article
%A Fröhlich, Jürg
%T Transport in thermal equilibrium, gapless modes, and anomalies
%J Publications Mathématiques de l'IHÉS
%D 1998
%P 81-97
%V S88
%I Institut des Hautes Études Scientifiques
%U http://www.numdam.org/item/PMIHES_1998__S88__81_0/
%G en
%F PMIHES_1998__S88__81_0
Fröhlich, Jürg. Transport in thermal equilibrium, gapless modes, and anomalies. Publications Mathématiques de l'IHÉS, Les relations entre les mathématiques et la physique théorique. Festschrift for the 40th anniversary of the IHÉS, Tome 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

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

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

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

[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

[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 | Zbl

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

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

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

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

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

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