Disordered topological quantum critical points in three-dimensional systems

被引:10
作者
Shindou, Ryuichi [1 ]
Nakai, Ryota [1 ,2 ]
Murakami, Shuichi [3 ,4 ]
机构
[1] RIKEN, Condensed Matter Theory Lab, Wako, Saitama 3510198, Japan
[2] Univ Tokyo, Dept Phys, Bunkyo Ku, Tokyo 1130033, Japan
[3] Tokyo Inst Technol, Dept Phys, Meguro Ku, Tokyo 1528551, Japan
[4] Japan Sci & Technol Agcy, PRESTO, Kawaguchi, Saitama 3320012, Japan
关键词
SPIN HALL; INSULATOR; ABSENCE; LOCALIZATION; SCATTERING; STATES; PHASE;
D O I
10.1088/1367-2630/12/6/065008
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Generic non-magnetic disorder effects on topological quantum critical points (TQCP), which intervene between the three-dimensional (3D) topological insulator and an ordinary insulator, are investigated in this work. We first show that, in such 3D TQCP, any backward-scattering process mediated by chemical-potential-type impurity is always cancelled by its time-reversal (T-reversal) counter-process because of the nontrivial Berry phase supported by these two processes in the momentum space. However, this cancellation can be generalized into only those backward-scattering processes that conserve a certain internal degree of freedom, i.e. the parity density, while the 'absolute' stability of the TQCP against any non-magnetic disorders is required by the bulk-edge correspondence. Motivated by this, we further derive the self-consistent Born-phase diagram and the quantum conductivity correction in the presence of generic non-magnetic disorder potentials. The distinctions and similarities between the case with only the chemical-potential-type disorder and that with the generic non-magnetic disorders are summarized.
引用
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页数:20
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共 31 条
[1]   SCALING THEORY OF LOCALIZATION - ABSENCE OF QUANTUM DIFFUSION IN 2 DIMENSIONS [J].
ABRAHAMS, E ;
ANDERSON, PW ;
LICCIARDELLO, DC ;
RAMAKRISHNAN, TV .
PHYSICAL REVIEW LETTERS, 1979, 42 (10) :673-676
[2]   Presence of perfectly conducting channel in metallic carbon nanotubes [J].
Ando, T ;
Suzuura, H .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2002, 71 (11) :2753-2760
[3]   Impurity scattering in carbon nanotubes - Absence of back scattering [J].
Ando, T ;
Nakanishi, T .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1998, 67 (05) :1704-1713
[4]   Berry's phase and absence of back scattering in carbon nanotubes [J].
Ando, T ;
Nakanishi, T ;
Saito, R .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1998, 67 (08) :2857-2862
[5]   CRITICAL LOCALIZATION IN 2-DIMENSIONAL LANDAU QUANTIZATION [J].
AOKI, H ;
ANDO, T .
PHYSICAL REVIEW LETTERS, 1985, 54 (08) :831-834
[6]   One-parameter scaling at the dirac point in graphene [J].
Bardarson, J. H. ;
Tworzydlo, J. ;
Brouwer, P. W. ;
Beenakker, C. W. J. .
PHYSICAL REVIEW LETTERS, 2007, 99 (10)
[7]   Experimental Realization of a Three-Dimensional Topological Insulator, Bi2Te3 [J].
Chen, Y. L. ;
Analytis, J. G. ;
Chu, J. -H. ;
Liu, Z. K. ;
Mo, S. -K. ;
Qi, X. L. ;
Zhang, H. J. ;
Lu, D. H. ;
Dai, X. ;
Fang, Z. ;
Zhang, S. C. ;
Fisher, I. R. ;
Hussain, Z. ;
Shen, Z. -X. .
SCIENCE, 2009, 325 (5937) :178-181
[8]   Topological insulators in three dimensions [J].
Fu, Liang ;
Kane, C. L. ;
Mele, E. J. .
PHYSICAL REVIEW LETTERS, 2007, 98 (10)
[9]   Topological insulators with inversion symmetry [J].
Fu, Liang ;
Kane, C. L. .
PHYSICAL REVIEW B, 2007, 76 (04)
[10]   Theory of the Topological Anderson Insulator [J].
Groth, C. W. ;
Wimmer, M. ;
Akhmerov, A. R. ;
Tworzydlo, J. ;
Beenakker, C. W. J. .
PHYSICAL REVIEW LETTERS, 2009, 103 (19)