The quantum Hall effect in graphene samples and the relativistic Dirac effective action

被引:15
作者
Beneventano, C. G.
Giacconi, Paola
Santangelo, E. M.
Soldati, Roberto
机构
[1] Natl Univ La Plata, Dept Fis, RA-1900 La Plata, Argentina
[2] Consejo Nacl Invest Cient & Tecn, IFLP, RA-1900 La Plata, Argentina
[3] Ist Nazl Fis Nucl, Sez Bologna, I-40126 Bologna, Italy
[4] Univ Bologna, Dipartmento Fis, Bologna, Italy
关键词
PARITY VIOLATION; LANDAU PROBLEM; BERRYS PHASE; GRAPHITE; GAS;
D O I
10.1088/1751-8113/40/24/F01
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the Euclidean effective action per unit area and the charge density for a Dirac field in a two-dimensional (2D) spatial region, in the presence of a uniform magnetic field perpendicular to the 2D plane, at finite temperature and density. In the limit of zero temperature we reproduce, after performing an adequate Lorentz boost, the Hall conductivity measured for different kinds of graphene samples, depending upon the phase choice in the fermionic determinant.
引用
收藏
页码:F435 / F442
页数:8
相关论文
共 26 条
[1]   CHEMICAL-POTENTIALS IN GAUGE-THEORIES [J].
ACTOR, A .
PHYSICS LETTERS B, 1985, 157 (01) :53-56
[2]   Relativistic Landau problem at finite temperature [J].
Beneventano, C. G. ;
Santangelo, E. M. .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (21) :6137-6144
[3]   The finite-temperature relativistic Landau problem and the relativistic quantum Hall effect [J].
Beneventano, C. G. ;
Santangelo, E. M. .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (23) :7457-7469
[4]   Ultrathin epitaxial graphite: 2D electron gas properties and a route toward graphene-based nanoelectronics [J].
Berger, C ;
Song, ZM ;
Li, TB ;
Li, XB ;
Ogbazghi, AY ;
Feng, R ;
Dai, ZT ;
Marchenkov, AN ;
Conrad, EH ;
First, PN ;
de Heer, WA .
JOURNAL OF PHYSICAL CHEMISTRY B, 2004, 108 (52) :19912-19916
[5]   Dirac functional determinants in terms of the eta invariant and the noncommutative residue [J].
Cognola, G ;
Elizalde, E ;
Zerbini, S .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2003, 237 (03) :507-532
[6]   Effective QED actions: Representations, gauge invariance, anomalies, and mass expansions [J].
Deser, S ;
Griguolo, L ;
Seminara, D .
PHYSICAL REVIEW D, 1998, 57 (12) :7444-7459
[7]   EFFECTIVE LAGRANGIAN AND ENERGY-MOMENTUM TENSOR IN DESITTER SPACE [J].
DOWKER, JS ;
CRITCHLEY, R .
PHYSICAL REVIEW D, 1976, 13 (12) :3224-3232
[8]  
Dunne G. V., 1999, Topological Aspects of Low Dimensional Systems.
[9]  
EBERT D, 2006, HEPPH0606029
[10]   Induced parity-breaking term at finite temperature (vol 79, pg 1980, 1997) [J].
Fosco, CD ;
Rossini, GL ;
Schaposnik, FA .
PHYSICAL REVIEW LETTERS, 1997, 79 (21) :4296-4296