Properties of low-lying states in a diffusive quantum dot and Fock-space localization

被引:44
作者
Mejía-Monasterio, C
Richert, J
Rupp, T
Weidenmüller, HA
机构
[1] Univ Nacl Autonoma Mexico, Lab Cuernavaca, Inst Fis, Cuernavaca 62191, Morelos, Mexico
[2] ULP, Phys Theor Lab, F-67084 Strasbourg, France
[3] Max Planck Inst Kernphys, D-69029 Heidelberg, Germany
关键词
D O I
10.1103/PhysRevLett.81.5189
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Motivated by an experiment by Sivan er nl. [Europhys. Lett. 25, 605 (1994)] and by subsequent theoretical work on localization in Fock space, we study numerically a hierarchical model for a finite many-body system of fermions moving in a disordered potential and coupled by a two-body interaction. We focus attention on the low-lying states close to the Fermi energy. Both the spreading width and the participation number depend smoothly on excitation energy. This behavior is in keeping with naive expectations and does not display Anderson localization. We show that the model reproduces essential features of the experiment by Sivan et al. [S0031-9007(98)07906-X].
引用
收藏
页码:5189 / 5192
页数:4
相关论文
共 10 条
[1]   SELF-CONSISTENT THEORY OF LOCALIZATION [J].
ABOUCHACRA, R ;
ANDERSON, PW ;
THOULESS, DJ .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1973, 6 (10) :1734-1752
[2]   Quasiparticle lifetime in a finite system: A nonperturbative approach [J].
Altshuler, BL ;
Gefen, Y ;
Kamenev, A ;
Levitov, LS .
PHYSICAL REVIEW LETTERS, 1997, 78 (14) :2803-2806
[3]   Localization in Fock space: A finite-energy scaling hypothesis for for many-particle excitation statistics [J].
Berkovits, R ;
Avishai, Y .
PHYSICAL REVIEW LETTERS, 1998, 80 (03) :568-571
[4]   Electron-electron scattering rate in disordered mesoscopic systems [J].
Blanter, YM .
PHYSICAL REVIEW B, 1996, 54 (18) :12807-12819
[5]   Emergence of quantum chaos in finite interacting Fermi systems [J].
Jacquod, P ;
Shepelyansky, DL .
PHYSICAL REVIEW LETTERS, 1997, 79 (10) :1837-1840
[6]   Localization and fluctuations of local spectral density on treelike structures with large connectivity: Application to the quasiparticle line shape in quantum dots [J].
Mirlin, AD ;
Fyodorov, YV .
PHYSICAL REVIEW B, 1997, 56 (20) :13393-13404
[7]   Decay of a quasiparticle in a quantum dot: The role of energy resolution [J].
Silvestrov, PG .
PHYSICAL REVIEW LETTERS, 1997, 79 (20) :3994-3997
[8]   SPECTROSCOPY, ELECTRON-ELECTRON INTERACTION, AND LEVEL STATISTICS IN A DISORDERED QUANTUM-DOT [J].
SIVAN, U ;
MILLIKEN, FP ;
MILKOVE, K ;
RISHTON, S ;
LEE, Y ;
HONG, JM ;
BOEGLI, V ;
KERN, D ;
DEFRANZA, M .
EUROPHYSICS LETTERS, 1994, 25 (08) :605-611
[9]   QUASI-PARTICLE LIFETIME IN A QUANTUM-DOT [J].
SIVAN, U ;
IMRY, Y ;
ARONOV, AG .
EUROPHYSICS LETTERS, 1994, 28 (02) :115-120
[10]   Thouless numbers for few-particle systems with disorder and interactions [J].
Weinmann, D ;
Pichard, JL ;
Imry, Y .
JOURNAL DE PHYSIQUE I, 1997, 7 (12) :1559-1581