Topological Chern indices in molecular spectra

被引:47
作者
Faure, F
Zhilinskii, B
机构
[1] CNRS, Maison Magistres Jean Perrin, LPMMC, F-38042 Grenoble 9, France
[2] Univ Littoral, MREID, F-59140 Dunkerque, France
关键词
D O I
10.1103/PhysRevLett.85.960
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Topological Chern indices are related to the number of rotational states in each molecular vibrational band. Modification of the indices is associated to the appearance of "band degeneracies," and exchange of rotational states between two consecutive bands. The topological dynamical origin of these indices is demonstrated through a semiclassical approach, and their values are computed in two examples. The relation with the integer quantum Hall effect is briefly discussed.
引用
收藏
页码:960 / 963
页数:4
相关论文
共 22 条
[1]  
[Anonymous], 1978, Principles of algebraic geometry
[2]   HOMOTOPY AND QUANTIZATION IN CONDENSED MATTER PHYSICS [J].
AVRON, JE ;
SEILER, R ;
SIMON, B .
PHYSICAL REVIEW LETTERS, 1983, 51 (01) :51-53
[3]  
BIEDENHAM L, 1981, ANGULAR MOMENTUM QUA
[4]   TRANSFER OF CLUSTERS BETWEEN THE VIBRATIONAL COMPONENTS OF CF4 [J].
BRODERSEN, S ;
ZHILINSKII, BI .
JOURNAL OF MOLECULAR SPECTROSCOPY, 1995, 169 (01) :1-17
[5]   THE ROTATIONAL STRUCTURE OF THE VIBRATIONAL-STATES AND SUBSTATES OF SYMMETRY-E IN CF4 [J].
BRODERSEN, S ;
ZHILINSKII, BI .
JOURNAL OF MOLECULAR SPECTROSCOPY, 1995, 172 (02) :303-318
[6]   Analysis of the "unusual" vibrational components of triply degenerate vibrational mode ν6 of Mo(CO)6 based on the classical interpretation of the effective rotation-vibration Hamiltonian [J].
Dhont, G ;
Sadovskií, D ;
Zhilinskií, B ;
Boudon, V .
JOURNAL OF MOLECULAR SPECTROSCOPY, 2000, 201 (01) :95-108
[7]   Topological properties of quantum periodic Hamiltonians [J].
Faure, F .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (03) :531-555
[8]   GENERIC DESCRIPTION OF THE DEGENERACIES IN HARPER-LIKE MODELS [J].
FAURE, F .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (22) :7519-7532
[9]   CRITICAL PHENOMENA AND DIABOLIC POINTS IN ROVIBRATIONAL ENERGY-SPECTRA OF SPHERICAL TOP MOLECULES [J].
KRIVTSUN, VM ;
SADOVSKII, DA ;
ZHILINSKII, BI .
JOURNAL OF MOLECULAR SPECTROSCOPY, 1990, 139 (01) :126-146
[10]  
Landau L., 1965, QUANTUM MECH