SCOPUS 정보 검색 플랫폼 - 논문 보기

메뉴 건너뛰기

Physical Review Letters

Volumn 75, Issue 7, 1995, Pages 1348-1351

Berry phase, hyperorbits, and the Hofstadter spectrum

(2) Chang, Ming Che a Niu, Qian a

a UNIVERSITY OF TEXAS AT AUSTIN (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001428945 PISSN: 00319007 EISSN: None Source Type: Journal
DOI: 10.1103/PhysRevLett.75.1348 Document Type: Article

Times cited : (292)

References (31)

1
- 0003470014
- W. B. Saunders Co., Philadelphia, Chap. 12.
- (1976) Solid State Physics
- Ashcroft, N.W.¹ Mermin, N.D.²

2
- 0001032458
- (1976) Phys. Rev. B , vol.14 , pp. 2239
- Hofstadter, D.R.¹

3
- 84983910402
- Degeneracy of Landau Levels in Crystals
- (1974) physica status solidi (b) , vol.65 , pp. K131
- Rauh, A.¹

4
- 0000419240
- (1991) Phys. Rev. B , vol.43 , pp. 5192
- Gerhardts, R.R.¹ Weiss, D.² Wulf, U.³

5
- 84926570789
- Electron Diffraction from a 2D Electron Wigner Crystal
- (1995) Europhysics Letters (EPL) , vol.29 , pp. 333
- Harris, I.N.¹

6
- 36149025582
- (1964) Phys. Rev. , vol.136 , pp. A776
- Zak, J.¹

7
- 84927474438
- (1964) , vol.134 , pp. A1602

8
- 0001567826
- (1994) Phys. Rev. B , vol.50 , pp. 10 843
- Chang, M.C.¹ Niu, Q.²

9
- 33644561837
- We have used a time dependent vector potential for the electric field. For more detail, see
- (1983) Phys. Rev. B , vol.27 , pp. 6083
- Thouless, D.J.¹

10
- 3442880129
- (1982) Phys. Rev. Lett. , vol.49 , pp. 405
- Thouless, D.J.¹ Kohmoto, M.² Nightingale, M.P.³ den Nijs, M.⁴

11
- 33646635283
- (1985) Ann. Phys. (N.Y.) , vol.160 , pp. 343
- Kohmoto, M.¹

12
- 33748917096
- (1993) J. Phys. Soc. Jpn. , vol.62 , pp. 659

13
- 0002207807
- Quantal Phase Factors Accompanying Adiabatic Changes
- (1984) Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences , vol.392 , pp. 45
- Berry, M.V.¹

14
- 0001345770
- (1983) Phys. Rev. Lett. , vol.51 , pp. 2167
- Simon, B.¹

15
- 0005281584
- (1993) J. Phys. Condens. Matter , vol.5 , pp. 6991
- Oakeshott, R.B.S.¹ MacKinnon, A.²

16
- 84927482563
- Chang, M.C.¹ Niu, Q.²

17
- 84927468738
- E. D. Haidemenakis, Plenum, New York
- (1969) Physics of Solids in Intense Magnetic Fields, , pp. 370
- Pippard, A.B.¹

18
- 6044274113
- and references therein. The electron focusing device has also been used to map out the constant energy contours in k space; see, 305, 348, J. J. Heremans, M. B. Santos, M. Shayegan, Surf. Sci.
- (1989) Phys. Rev. B , vol.39 , pp. 8556
- van Houten, H.¹

19
- 84927506086
- A factor of 1/2 has been inserted into the right-hand side for the following reason: The orbit acquires a phase shift of -π/2 whenever it passes a caustic turning point. In this case, there are two caustics for a cyclotron orbit. Therefore there is an additional phase lag of -π that contributes to the nondynamical phase. van Houten's paper in Ref. [c12] has a nice discussion on the additional phase shift.

20
- 0001409871
- A similar formula for quantization of orbits in phase space has been derived by Wilkinson, in which it is not apparent that his Berry phase is related to the Hall conductivity. See
- (1984) J. Phys. A , vol.17 , pp. 3459
- Wilkinson, M.¹

21
- 0001395940
- Effective Action for Adiabatic Process: Dynamical Meaning of Berry and Simon's Phase
- also
- (1985) Progress of Theoretical Physics , vol.74 , pp. 439
- Kuratsuji, H.¹ Iida, S.²

22
- 4243988348
- (1992) Phys. Rev. Lett. , vol.69 , pp. 3001
- Entelis, A.¹ Levit, S.²

23
- 0012689044
- The scaling property of the Hofstadter spectrum guarantees that the semiclassical approximation, which is valid at the first order, remains valid at finer energy scales. See, for example
- (1983) J. Phys. A , vol.16 , pp. 1911
- Thouless, D.J.¹ Niu, Q.²

24
- 0000709658
- (1985) J. Phys. A , vol.18 , pp. 2199
- Avron, J.E.¹ Simon, B.²

25
- 0004283287
- (1964) Zh. Eksp. Teor. Fiz. , vol.46 , pp. 939
- Azbel, M.Y.¹

26
- 0000653017
- (1964) Sov. Phys. JETP , vol.19 , pp. 634

27
- 0021757421
- (1984) Proc. R. Soc. London A , vol.391 , pp. 305
- Wilkinson, M.¹

28
- 0542452210
- (1987) J. Phys. A , vol.20 , pp. 4337

29
- 84927498838
- (1994) , vol.27 , pp. 8123

30
- 0001615308
- (1990) Phys. Rev. B , vol.42 , pp. 8282
- Hatsugai, Y.¹ Kohmoto, M.²

31
- 0001062004
- also see
- (1979) Phys. Rev. B , vol.19 , pp. 6068
- Claro, F.H.¹ Wannier, G.H.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.