Friedel sum rule and Levinson theorem for massless Weyl fermions

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 73, Issue 5, 2006, Pages

  Lin, De Hone ^a  

^a NATIONAL SUN YAT SEN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

FERMI SURFACE; HIGH ENERGY PHYSICS; MATHEMATICAL TECHNIQUES; MOLECULAR PHYSICS; PHASE SHIFT;

DISCRETE ZERO MODES; FRIEDEL SUM RULE; GLOBAL PHASES; LEVINSON THEOREM;

FERMIONS;

EID: 33646900153     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.73.052113     Document Type: Article

References (22)

1. J. Friedel, Philos. Mag. PHMAA4 0031-8086 43, 153 (1952);
2. J. Friedel, Adv. Phys. ADPHAH 0001-8732 10.1080/00018735400101233 3, 446 (1953);
3. J. Friedel, Nuovo Cimento, Suppl. NUCUAF 0550-3868 7, 287 (1958).
4. J. M. Ziman, Principles of the Theory of Solids (Cambridge University Press, New York, 1972), p. 159.
5. G. D. Mahan, Many-Particle Physics (Plenum Press, New York, 2000), p. 195.
6. H. Johannesson, C. J. Bolech, and N. Andrei, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.075112 68, 075112 (2003);
7. H. Johannesson, C. J. Bolech, and N. Andrei, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.195107 71, 195107 (2005).
8. T. D. Lee and C. N. Yang, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.105.1671 105, 1671 (1957).
9. A. Salam, Nuovo Cimento NUCIAD 0029-6341 5, 299 (1957).
10. L. Landau, Nucl. Phys. NUPHA7 0029-5582 10.1016/0029-5582(57)90061-5 3, 127 (1957).
11. M. Goldhaber, L. Grodzins, and A. W. Sunyar, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.109.1015 109, 1015 (1958).
12. M. Levin and X. G. Wen, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.77.871 77, 871 (2005).
13. See, for instance, M. Balkanski, in Elementary Excitations in Solids, Molecules and Atoms, edited by, J. T. Devreese, A. B. Kunz, and, T. C. Collins, (Plenum, New York, 1974).
14. K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, M. I. Katsnelson, I. V. Grigorieva, S. V. Dubonos, and A. A. Firsov, Nature (London) NATUAS 0028-0836 10.1038/nature04233 438, 197 (2005), and references therein.
15. Y. Zhang, Y. W. Tan, H. L. Stormer, and P. Kim, Nature (London) NATUAS 0028-0836 10.1038/nature04235 438, 201 (2005).
16. N. Levinson, K. Dan. Vidensk. Selsk. Mat. Fys. Medd. KDVSAK 0023-3323 25, 9 (1949).
17. R. G. Newton, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1703665 1, 319 (1960);
18. R. G. Newton, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.523428 18, 1348 (1977);
19. R. G. Newton, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.523466 18, 1582 (1977);
20. R. G. Newton, Scattering Theory of Waves and Particles (Springer-Verlag, New York, 1982).
21. W. Greiner, Relativistic Quantum Mechanics (Springer, New York, 2000), p. 213.
22. D. H. Lin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.012701 72, 012701 (2005).