Electric-Dipole-Induced Universality for Dirac Fermions in Graphene

被引:26
作者
De Martino, Alessandro [1 ]
Kloepfer, Denis [2 ]
Matrasulov, Davron [3 ]
Egger, Reinhold [2 ]
机构
[1] City Univ London, Dept Math, London EC1V 0HB, England
[2] Univ Dusseldorf, Inst Theoret Phys, D-40225 Dusseldorf, Germany
[3] Univ Tashkent, Turin Polytechn, Tashkent 100095, Uzbekistan
关键词
SYSTEM;
D O I
10.1103/PhysRevLett.112.186603
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study electric dipole effects for massive Dirac fermions in graphene and related materials. The dipole potential accommodates towers of infinitely many bound states exhibiting a universal Efimov-like scaling hierarchy. The dipole moment determines the number of towers, but there is always at least one tower. The corresponding eigenstates show a characteristic angular asymmetry, observable in tunnel spectroscopy. However, charge transport properties inferred from scattering states are highly isotropic.
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页数:5
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共 33 条
[1]  
Abramov D. I., 1972, Theoretical and Mathematical Physics, V13, P1090, DOI 10.1007/BF01035530
[2]  
Abramowitz M., 1964, HDB MATH FUNCTIONS, V55
[3]  
[Anonymous], 1985, Quantum Electrodynamics of Strong Fields
[4]   NEUTRINO BILLIARDS - TIME-REVERSAL SYMMETRY-BREAKING WITHOUT MAGNETIC-FIELDS [J].
BERRY, MV ;
MONDRAGON, RJ .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1987, 412 (1842) :53-74
[5]   Universality in few-body systems with large scattering length [J].
Braaten, Eric ;
Hammer, H. -W. .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2006, 428 (5-6) :259-390
[6]   Quantum anomaly in molecular physics [J].
Camblong, HE ;
Epele, LN ;
Fanchiotti, H ;
Canal, CAG .
PHYSICAL REVIEW LETTERS, 2001, 87 (22) :art. no.-220402
[7]   The electronic properties of graphene [J].
Castro Neto, A. H. ;
Guinea, F. ;
Peres, N. M. R. ;
Novoselov, K. S. ;
Geim, A. K. .
REVIEWS OF MODERN PHYSICS, 2009, 81 (01) :109-162
[8]   Critical dipoles in one, two, and three dimensions [J].
Connolly, Kevin ;
Griffiths, David J. .
AMERICAN JOURNAL OF PHYSICS, 2007, 75 (06) :524-531
[9]   ENERGY LEVELS ARISING FROM RESONANT 2-BODY FORCES IN A 3-BODY SYSTEM [J].
EFIMOV, V .
PHYSICS LETTERS B, 1970, B 33 (08) :563-&
[10]   Supercritical Coulomb center and excitonic instability in graphene [J].
Gamayun, O. V. ;
Gorbar, E. V. ;
Gusynin, V. P. .
PHYSICAL REVIEW B, 2009, 80 (16)