Observation of a Dirac point in microwave experiments with a photonic crystal modeling graphene

被引:119
作者
Bittner, S. [1 ]
Dietz, B. [1 ]
Miski-Oglu, M. [1 ]
Iriarte, P. Oria [1 ]
Richter, A. [1 ,2 ]
Schaefer, F. [3 ]
机构
[1] Tech Univ Darmstadt, Inst Kernphys, D-64289 Darmstadt, Germany
[2] ECT, I-38123 Trento, Italy
[3] Univ Florence, LENS, I-50019 Florence, Italy
关键词
SIMULATION; CARBON;
D O I
10.1103/PhysRevB.82.014301
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We present measurements of transmission and reflection spectra of a microwave photonic crystal composed of 874 metallic cylinders arranged in a triangular lattice. The spectra show clear evidence of a Dirac point, a characteristic of a spectrum of relativistic massless fermions. In fact, Dirac points are a peculiar property of the electronic band structure of graphene, whose properties consequently can be described by the relativistic Dirac equation. In the vicinity of the Dirac point, the measured reflection spectra resemble those obtained by conductance measurements in scanning tunneling microscopy of graphene flakes.
引用
收藏
页数:5
相关论文
共 26 条
[1]   S-matrix, resonances, and wave functions for transport through billiards with leads [J].
Albeverio, S ;
Haake, F ;
Kurasov, P ;
Kus, M ;
Seba, P .
JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (10) :4888-4903
[2]   Colloquium: Andreev reflection and Klein tunneling in graphene [J].
Beenakker, C. W. J. .
REVIEWS OF MODERN PHYSICS, 2008, 80 (04) :1337-1354
[3]   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
[4]   Quantum chaotic scattering in microwave resonators [J].
Dietz, B. ;
Friedrich, T. ;
Harney, H. L. ;
Miski-Oglu, M. ;
Richter, A. ;
Schafer, F. ;
Weidenmueller, H. A. .
PHYSICAL REVIEW E, 2010, 81 (03)
[5]  
Joannopoulos S.G., 2008, Pho- tonic Crystals-Molding the Flow of Light, V2
[6]   Graphene: carbon in two dimensions [J].
Katsnelson, Mikhail I. .
MATERIALS TODAY, 2007, 10 (1-2) :20-27
[7]   Scanning Tunneling Spectroscopy of Graphene on Graphite [J].
Li, Guohong ;
Luican, Adina ;
Andrei, Eva Y. .
PHYSICAL REVIEW LETTERS, 2009, 102 (17)
[8]  
Mahaux C., 1969, Shell Model Approach in Nuclear Reactions
[9]   Density of states functions for photonic crystals [J].
McPhedran, RC ;
Botten, LC ;
McOrist, J ;
Asatryan, AA ;
de Sterke, CM ;
Nicorovici, NA .
PHYSICAL REVIEW E, 2004, 69 (01) :16
[10]   Two-dimensional gas of massless Dirac fermions in graphene [J].
Novoselov, KS ;
Geim, AK ;
Morozov, SV ;
Jiang, D ;
Katsnelson, MI ;
Grigorieva, IV ;
Dubonos, SV ;
Firsov, AA .
NATURE, 2005, 438 (7065) :197-200