Interacting electrons in disordered potentials: The inverse compressibility
Tóm tắt
The inverse compressibility, i.e., the change in the chemical potential as the number of particles in the sample is changed, is studied for a small quantum dot. It is found that the inverse compressibility behaves differently for different values of disorder and electron-electron interactions. For weak interactions or strong disorder one may understand this behavior in the framework of a random matrix theory.
Tài liệu tham khảo
M. Jammmer, Ph.D. thesis, Hebrew University, Jerusalem.
For more details, see C. Weisbuch and B. Vinter,Quantum Semiconductor Structures (Academic, Boston, 1991).
L. P. Gorkov and G. M. Eliashberg,Zh. Eksp. Teor. Fiz. 48, 1407 (1965) [Sov. Phys. JETP 21, 940 (1965)].
B. L. Altshuler and B. I. Shklovskii,Zh. Eksp. Teor. Fiz. 91, 220 (1986) [Sov. Phys. JETP 64, 127 (1986)].
U. Sivan and Y. Imry,Phys. Rev. B 35, 6074 (1987).
S. N. Evangelou and E. N. Economou,Phys. Rev. Lett. 68, 361 (1992).
F. M. Izrailev,Phys. Rep. 129, 299 (1990).
B. I. Shklovskii, B. Shapiro, B. R. Sears, P. Lambrianides, and H. B. Shore,Phys. Rev. B. 47, 11487 (1993).
R. Harris and Z. Yan,J. Phys. Condens. Matter 5, L493 (1993).
E. Hofstetter and M. Schreiber,Phys. Rev. B 48, 16979 (1993).
V. E. Kravtsov, I. V. Lerner, B. L. Altshuler, and A. G. Aronov,Phys. Rev. Lett. 72 (1994).
S. N. Evangelou,Phys. Rev. B 49, 16805 (1994).
E. Hofstetter and M. Schreiber,Phys. Rev. Lett. 73, 3137 (1994).
E. P. Wigner,Ann. Math. 53, 36 (1951);62, 548 (1955);65, 203 (1957);67, 325 (1958).
F. J. Dyson,J. Math. Phys. 3, 140 (1962);3, 1157 (1962);3, 166 (1962).
M. L. Mehta,Random Matrices (Academic Press, San Diego, 1991).
R. Berkovits,Europhys. Lett. 25, 681 (1994).
R. Berkovits and Y. AvishaiJ. Phys. Condens Matter 8, 389 (1996).
U. Sivan, F. P. Milliken, K. Millkove, S. Rishton, Y. Lee, J. M. Hong, V. Boegli, D. Kern, and M. DeFranza,Europhys. Lett. 25, 605 (1994).
U. Sivan, private communication.
M. Field, C. G. Smith, and M. Pepper, private communication.
M. A. Kastner,Phys. Today 46, 24 (1993); R. Berkovits, M. Abraham, and Y. Avishai,J. Phys. Condens. Matter 5, L175 (1993).
R. Berkovits and B. L. Altshuler, preprint.