Abstract
At low energies certain one dimensional Mott insulators can be described in terms of an exactly solvable quantum field theory, the U(1) Thirring model. Using exact results derived from integrability we determine dynamical properties like the frequency dependent optical conductivity and the single-particle Green’s function. We discuss the effects of a small temperature and the effects on interchain tunneling in a model of infinitely many weakly coupled chains.
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More precisely, these compounds are considered to be charge-transfer insulators
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References
N. F. MottMetal-Insulator Transitions2“ded., Taylor and Francis, London (1990); F. GebhardThe Mott Metal-Insulator TransitionSpringer, Berlin (1997).
N. F. MottProc. Roy. Soc. A 62416 (1949);Canad. Jo. Phys. 341356 (1964);Phil. Mag. 6287 (1961).
A. Georges, G. Kotliar, W. Krauth and M.J. RozenbergRev. Mod. Phys. 6813 (1996).
C. Bourbonnais and D. Jerome, in “Advances in Synthetic Metals, Twenty years of Progress in Science and Technology”, ed. by P. Bernier, S. Lefrant and G. Bidan (Elsevier, New York, 1999), p. 206–301 and references therein. See also tond-mat - 9903101.
C. Kim, A.Y. Matsuura, Z.X. Shen, N. Montoyama, H. Eisaki, S. Uchida, T. Tohyama and S. MaekawaPhys. Rev. Lett. 774054(1996); H. Fujisawa et alPhys. Rev. B 597358 (1999); K. Kobayashi et. al.Phys. Rev. Lett. 82803 (1999);
T. Mizokawa et. al.Phys. Rev. Lett. 854779 (2000).
S. Biermann, A. Georges, T. Giamarchi and A. Lichtenstein, Proceedings of the NATO ASI “Field Theory of Strongly Correlated Fermions and Bosons in Low - Dimensional Disordered Systems”, Windsor, August, 2001.
Bosonization in Strongly Correlated SystemsA. O. Gogolin, A. A. Nersesyan and A. M. Tsvelik, Cambridge University Press (1999).
T. GiamarchiPhysica B230–232975 (1997).
H. Yoshioka, M. Tsuchizu and Y. SuzumuraJ. Phys. Soc. Jpn 70762 (2001).
M. NakamuraPhys. Rev. B6116377 (2000).
F.A. SmirnovForm Factors in Completely Integrable Models ofQuantumField Theory(World Scientific, Singapore, 1992).
M. Karowski and P. Weisz. Phys. B139455 (1978); H. Babujian, A. Fring, M. Karowski and A. ZapletalNucl. Phys. B538535 (1999); A. Fring, G. Mussardo and P. SimonettiNucl. Phys. B393413 (1993); S. LukyanovComm. Math. Phys. 167183 (1995); S. LukyanovMod. Phys. Lett. Al22911 (1997).
A.B. ZamolodchikovJETP Lett. 25468 (1977); H.-J. Thun, T.T. Truong, P.H. WeiszPhys. Lett. B67321 (1977).
J. Cardy and G. MussardoNucl. Phys. B410451 (1993).
G. Mussardo, preprint hep-th/940512.
E. Jeckelmann, F. Gebhard and F. H. L. EsslerPhys. Rev. Lett. 853910 (2000).
D. Controzzi, F.H.L. Essler and A.M. TsvelikPhys. Rev. Lett. 86680 (2001).
D. Controzzi, F.H.L. Essler and A.M. Tsvelik, in “New Theoretical Approaches to Strongly Correlated Systems”, ed A.M. Tsvelik, NATO Science SeriesIIVol 23, preprint cond-mat/0011439.
E. JeckelmannPhys. Rev.B 66045114 (2002).
F.H.L. Essler, F. Gebhard and E. JeckelmannPhys. Rev. B 645119 (2001).
E. JeckelmannPhys. Rev. B 67075106 (2003).
A. Schwartz, M. Dressel, G. Grüner, V. Vescoli, L. Degiorgi, T. GiamarchiPhys. Rev. B 581261 (1998); V.Vescoli, L. Degiorgi, W. Henderson, G. Grüner, K. P. Starkey, L. K. MontgomeryScience 2811181 (1998); W. Henderson, V. Vescoli, P. Tran, L. Degiorgi and G. GrünerFur. Phys. J. B 11365 (1999).
M.G. Zacher, E. Arrigoni, W. Hanke and J.R. SchriefferPhys. Rev. B 576370 (1998); D. Senechal, D. Perez and M. Pioro-LadierePhys. Rev. Lett. 84522 (2000); R.N. Bannister and N. d’AmbrumenilPhys. Rev. B 614651 (2000).
A. Parola and S. SorellaPhys. Rev. B.576444 (1998); A. Parola and S. SorellaPhys. Rev. Lett. 764604 (1996); K. Penc, K. Hallberg, F. Mila and H. ShibaPhys. Rev. Lett. 771390 (1996).
P. B. WiegmannSoy. Sci. Rev. Ser. A vol.2p.41 (1980), Harwood Academic Publ., ed. I. M. Khalatnikov.
J. VoitEur. Phys. J. B5505 (1998).
O.A. Starykh, D.L. Maslov, W. Häusler, L.I. Glazman, inLow-Dimensional Systemsed. T. Brandes, Lecture Notes in Physics, Springer (2000)
F.H.L. Essler and A.M. TsvelikPhys. Rev.B 65115117 (2002).
S. Lukyanov and A. B. ZamolodchikovNucl. Phys. B607437 (2001).
F.H.L. Essler and A.M. TsvelikPhys. Rev. Lett. 90126401 (2003).
F.H.L. Essler and A.M. TsvelikPhys. Rev. Lett.88096403 (2002).
A.A. Abrikosov, L.P. Gorkov and I.E. DzyaloshinskiMethods of Quantum Field Theory in Statistical PhysicsDover (New York) 1975, page 168.
X.G.’Wen, xx Phys. Rev. B426623 (1990); E. ArrigoniPhys. Rev. B 617909 (2000).
D. Boies, C. Bourbonnais and A.-M. S. TremblayPhys. Rev. Lett. 74968 (1995).
D.J. Scalapino, Y. Imry and P. PincusPhys. Rev. B112042 (1975).
S. Biermann, T. Giamarchi, A. Georges and A. LichtensteinPhys. Rev. Lett.87276405 (2001).
D. Controzzi and F.H.L. EsslerPhys. Rev.B 66165112 (2002).
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Essler, F.H.L., Tsvelik, A.M. (2003). Dynamical Response of Quasi 1D Mott Insulators. In: Iagolnitzer, D., Rivasseau, V., Zinn-Justin, J. (eds) International Conference on Theoretical Physics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7907-1_45
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DOI: https://doi.org/10.1007/978-3-0348-7907-1_45
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