Fano Resonance in Landau Fermi and Luttinger Liquids
HAN Yue-Wu1,3, LIU Yu-Liang2, CAI Shao-Hong1,4
1Laboratory for Photoelectric Technology and Application, Department of Physics, Guizhou University, Guiyang 5500252Department of Physics, Renmin University of China, Beijing 1008723 Center of Experiment, Guizhou Radio and TV University, Guiyang 5500044Guizhou College of Finance and Economics, Guiyang 550004
Fano Resonance in Landau Fermi and Luttinger Liquids
HAN Yue-Wu1,3;LIU Yu-Liang2;CAI Shao-Hong1,4
1Laboratory for Photoelectric Technology and Application, Department of Physics, Guizhou University, Guiyang 5500252Department of Physics, Renmin University of China, Beijing 1008723 Center of Experiment, Guizhou Radio and TV University, Guiyang 5500044Guizhou College of Finance and Economics, Guiyang 550004
摘要With a two-channel model, we study the influence of temperature, external voltage and magnetic flux on the line shape of the Fano resonance, and show that in the Luttinger liquid case, the background transmittance and the asymmetric parameter depend strongly on the temperature and external voltage, while for the Landau Fermi liquid case they are nearly independent of these parameters in the low energy region. Moreover, we demonstrate that the asymmetric parameter changes periodically with an external magnetic flux, which is consistent with the recent experimental data.
Abstract：With a two-channel model, we study the influence of temperature, external voltage and magnetic flux on the line shape of the Fano resonance, and show that in the Luttinger liquid case, the background transmittance and the asymmetric parameter depend strongly on the temperature and external voltage, while for the Landau Fermi liquid case they are nearly independent of these parameters in the low energy region. Moreover, we demonstrate that the asymmetric parameter changes periodically with an external magnetic flux, which is consistent with the recent experimental data.
HAN Yue-Wu;LIU Yu-Liang;CAI Shao-Hong;. Fano Resonance in Landau Fermi and Luttinger Liquids[J]. 中国物理快报, 2007, 24(4): 1066-1069.
HAN Yue-Wu, LIU Yu-Liang, CAI Shao-Hong,. Fano Resonance in Landau Fermi and Luttinger Liquids. Chin. Phys. Lett., 2007, 24(4): 1066-1069.
[1] Fano U 1961 Phys. Rev. 124 1866 [2] Kobayashi K et al %, Aikawa H, Katsumoto K and Iye Y2002 Phys. Rev. Lett. 88 256806 [3] Goeres J et al 2000 Phys. Rev. B 62 2188 [4] Kim J et al 2003 Phys. Rev. Lett. 90166403 [5] Yi W et al %, Lu L, Hu H, Pan Z W and Xie S S2003 Phys. Rev. Lett. 91 76801 [6] Bockrath M et al 1999 Nature 397 598 [7] Bachtold A et al 1999 Nature 397 673 [8] Kasumov A Y et al 1998 Europhys. Lett. 43 89 [9] Egger R and Gogolin A O 1997 Phys. Rev. Lett. 795082 Egger R 1999 Phys. Rev. Lett. 83 5547 [10] Kane C L, Balents L and Fisher M P A 1997 Phys. Rev.Lett. 79 5086 [11] Hofstettor W, Koenig J and Schoeller H 2001 Phys. Rev.Lett. 87 156803 Bulka B R and Stefanski P 2001 Phys. Rev. Lett. 86 5128 [12] Kim T S et al %, Cho S Y, Kim C K and Ryu C M2002 Phys. Rev. B 65 245307 [13] Fano U and Rau A R P 1986 Atomic Collisions and Spectra(Orland: Academic) [14] Madhavan V et al %, Chen W, Jamneala T, Crommie M F and Wingreen N S1998 Science 280 567 Li J et al %, Schneider W D, Berndt R and Delley B1998 Phys. Rev. Lett. 80 2893 [15] Haldane F D M 1981 J. Phys. C 14 2585 [16] Nozieres P 1974 Theory of Interacting Fermi System(Cambridge: Addison-Wesley) [17] Ng T K and Lee P A 1988 Phys. Rev. Lett. 61 1768 [18] Kane C L and Fisher M P A 1992 Phys. Rev. Lett. 68 1220 Kane C L and Fisher M P A 1992 Phys. Rev. B 46 15233 [19] Noeckel J U and Stone A D 1994 Phys. Rev. B 50 17415 [20] Liu Y L 2002 Int. J. Mod. Phys. B 16 773 Liu Y L 2002 Int. J. Mod. Phys. B 16 2201 Liu Y L 2002 Int. J. Mod. Phys. B 16 4127 Liu Y L 2003 Phys. Rev. B 68 155116 [21] Negele J W and Orland H 1988 Quantum Many-ParticleSystems (Cambridge: Addison-Wesley) [22] Luther A and Peschel I 1974 Phys. Rev. B 9 2911 [23] Emery V J 1979 Highly Conducting One-Dimensional Solids ed Devreese J T (New York: Plenum) S\'{olyom J 1979 Adv. Phys. 28 201 [24] Jose J V, Kadanoff L P, Kirkpatrick S and Nelson D R 1977 Phys. Rev. B 16 1217 [25] Giamarchi T and Schulz H J Phys. Rev. B 37 325 [26] Liu Y L 2004 Phys. Rev. B 70 195111 [27] Liu Y L 2000 Phys. Rev. B 62 1212 [28] Affleck I and Ludwig A W W 1994 J. Phys. Rev. A 27 5375 Fendley P, Ludwig A W W and Saleur H 1995 Phys. Rev. Lett. 74 3005 Fabrizio M and Gogolin A O 1997 Phys. Rev. B 51 17827 Fabrizio M and Gogolin A O 1997 Phys. Rev. Lett. 78 4527 [29] Yue D X, Glazman L I and Matveev K A 1994 Phys. Rev. B 49 1966
2007, Vol. 24 
