Low-frequency optical conductivity in graphene and in other scale-invariant two-band systems

被引:63
作者
Bacsi, Adam [1 ]
Virosztek, Attila [1 ,2 ]
机构
[1] Budapest Univ Technol & Econ, Dept Phys, H-1521 Budapest, Hungary
[2] Wigner Res Ctr Phys, Inst Solid State Phys & Opt, H-1525 Budapest, Hungary
基金
匈牙利科学研究基金会;
关键词
PHASE-TRANSITIONS; BILAYER GRAPHENE; TRANSPORT; QUANTUM; FILMS;
D O I
10.1103/PhysRevB.87.125425
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We investigate optical transitions of noninteracting electron systems consisting of two symmetric energy bands touching each other at the Fermi energy (e. g., graphene at half-filling). Optical conductivity is obtained using Kubo formula at zero temperature. We show that for particles whose pseudospin direction is determined solely by the direction of their momentum, the optical conductivity has power-law frequency dependence with the exponent (d - 2)/z where d is the dimension of the system and z is the dynamical exponent. According to our result two-dimensional systems with the above pseudospin characteristics always exhibit frequency-independent optical conductivity. DOI: 10.1103/PhysRevB.87.125425
引用
收藏
页数:5
相关论文
共 24 条
[1]   Mean-field quantum phase transition in graphene and in general gapless systems [J].
Bacsi, Adam ;
Virosztek, Attila ;
Borda, Laszlo ;
Dora, Balazs .
PHYSICAL REVIEW B, 2010, 82 (15)
[2]   How generic scale invariance influences quantum and classical phase transitions [J].
Belitz, D ;
Kirkpatrick, TR ;
Vojta, T .
REVIEWS OF MODERN PHYSICS, 2005, 77 (02) :579-632
[3]   UNIVERSAL CONDUCTIVITY OF 2-DIMENSIONAL FILMS AT THE SUPERCONDUCTOR-INSULATOR TRANSITION [J].
CHA, MC ;
FISHER, MPA ;
GIRVIN, SM ;
WALLIN, M ;
YOUNG, AP .
PHYSICAL REVIEW B, 1991, 44 (13) :6883-6902
[4]   Electronic transport in two-dimensional graphene [J].
Das Sarma, S. ;
Adam, Shaffique ;
Hwang, E. H. ;
Rossi, Enrico .
REVIEWS OF MODERN PHYSICS, 2011, 83 (02) :407-470
[5]   Space-time dispersion of graphene conductivity [J].
Falkovsky, L. A. ;
Varlamov, A. A. .
EUROPEAN PHYSICAL JOURNAL B, 2007, 56 (04) :281-284
[6]   THERMAL FLUCTUATIONS, QUENCHED DISORDER, PHASE-TRANSITIONS, AND TRANSPORT IN TYPE-II SUPERCONDUCTORS [J].
FISHER, DS ;
FISHER, MPA ;
HUSE, DA .
PHYSICAL REVIEW B, 1991, 43 (01) :130-159
[7]   Unusual microwave response of Dirac quasiparticles in graphene [J].
Gusynin, V. P. ;
Sharapov, S. G. ;
Carbotte, J. P. .
PHYSICAL REVIEW LETTERS, 2006, 96 (25)
[8]   Direct measurement of quantum phases in graphene via photoemission spectroscopy [J].
Hwang, Choongyu ;
Park, Cheol-Hwan ;
Siegel, David A. ;
Fedorov, Alexei V. ;
Louie, Steven G. ;
Lanzara, Alessandra .
PHYSICAL REVIEW B, 2011, 84 (12)
[9]   Relation between Zitterbewegung and the charge conductivity, Berry curvature, and the Chern number of multiband systems [J].
Jozsef Cserti ;
Gyula David .
PHYSICAL REVIEW B, 2010, 82 (20)
[10]   Universal optical conductance of graphite [J].
Kuzmenko, A. B. ;
van Heumen, E. ;
Carbone, F. ;
van der Marel, D. .
PHYSICAL REVIEW LETTERS, 2008, 100 (11)