K. Machida et al., QUANTIZED HALL CONDUCTANCE AND ITS SIGN REVERSAL IN FIELD-INDUCED SPIN-DENSITY WAVES, Physical review. B, Condensed matter, 50(2), 1994, pp. 921-937
The sign-reversal phenomenon of the quantized Hall conductance as a fu
nction of an external magnetic field (H) observed in (TMTSF)2X is inve
stigated theoretically. After giving a general Hall-conductance formul
a written in terms of order parameters of the field-induced spin-densi
ty wave (FISDW), we have done extensive mean-field calculations for a
simplified standard model. It is shown that the many competing order p
arameters DELTA(n) (n = 0, +/-1, +/-2, ...) which coexist in a FISDW s
tate can make the sign of the Hall constant change particularly near t
he subphase boundary of the FISDW and that numbering of the integer su
bphases (N = 0, 1, 2.... stabilized in this order from high fields) do
es not necessarily coincide with the Hall number L defined by L = sigm
a(xy)/(e2/h). We have found that the jumps of the Hall constant are ac
companied by the spin-density wave gap closing when a FISDW is continu
ously evolving as H varies. In order for the sign reversal to occur a
FISDW must contain many order parameters DELTAn with n being both sign
s.