J. Phys. Soc. Jpn. 80, 093706 (2011) [4 Pages]
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Received April 13, 2011; Accepted July 19, 2011; Published August 18, 2011
For many-electron systems, we consider a nonequilibrium state (NES) that is driven by a pump field(s), which is either an optical field or a longitudinal electric field. For the differential optical conductivity describing the differential response of the NES to a probe optical field, we derive exact sum rules and asymptotic behaviors, which open wide possibilities for experiments. In deriving these results, we have also derived universal properties of general differential response functions of time-dependent NESs of general systems.
©2011 The Physical Society of Japan
References
- 1 R.Kubo, M.Toda, and N.Hashitsume:Statistical Physics II (Springer, Berlin, 1985). Crossref, Google Scholar
- 2 P. C.Martin:Phys. Rev. 161 (1967) 143. Crossref, Google Scholar
- 3 S.Chakravarty:Eur. Phys. J. B 5 (1998) 337. Crossref, Google Scholar
- 4 L.Benfatto, S. G.Sharapov, N.Andrenacci, and H.Beck:Phys. Rev. B 71 (2005) 104511. Crossref, Google Scholar
- 5 D. N.Basov and T.Timusk:Rev. Mod. Phys. 77 (2005) 721. Crossref, Google Scholar
- 6 V.Vescoli, J.Favand, F.Mila, and L.Degiorgi:Eur. Phys. J. B 3 (1998) 149. Crossref, Google Scholar
- 7 E.Shiles, T.Sasaki, M.Inokuti, and D. Y.Smith:Phys. Rev. B 22 (1980) 1612. Crossref, Google Scholar
- 8 S.Uchida, T.Ido, H.Takagi, T.Arima, Y.Tokura, and S.Tajima:Phys. Rev. B 43 (1991) 7942. Crossref, Google Scholar
- 9 K.Tobe, T.Kimura, and Y.Tokura:Phys. Rev. B 67 (2003) 140402. Crossref, Google Scholar
- 10 A. F.Santander-Syro, R. P. S. M.Lobo, N.Bontemps, W.Lopera, D.Girata, Z.Konstantinovic, Z. Z.Li, and H.Raffy:Phys. Rev. B 70 (2004) 134504. Crossref, Google Scholar
- 11 S.Iwai, M.Ono, A.Maeda, H.Matsuzaki, H.Kishida, H.Okamoto, and Y.Tokura:Phys. Rev. Lett. 91 (2003) 057401. Crossref, Google Scholar
- 12 N.Tsuji, T.Oka, and H.Aoki:Phys. Rev. Lett. 103 (2009) 047403. Crossref, Google Scholar
- 13 A.Shimizu and T.Yuge:J. Phys. Soc. Jpn. 79 (2010) 013002. Link, Google Scholar
- 14 T.Yuge:Phys. Rev. E 82 (2010) 051130. Crossref, Google Scholar
- 15 A.Shimizu:J. Phys. Soc. Jpn. 79 (2010) 113001. Link, Google Scholar
- 16 When A(t) is monochromatic, one might be interested in σαβA (ω;ν), which is the FT of σαβA (ω; t) with respect to t. If A(t) is sufficiently weak, σαβA (ω;ν) has a peak at ν=Ω, where Ω is the frequency of A(t). As A(t) becomes stronger, σαβA (ω;ν) has more peaks as a function ofν, until, for a strong A(t), it has a broad spectrum in addition to multiple peaks. Google Scholar
- 17 A similar result has recently been obtained independently by N. Tsuji , private communication. Google Scholar