ELEMENTARY EXCITATIONS IN ONE-DIMENSIONAL QUANTUM WIRES - EXACT EQUIVALENCE BETWEEN THE RANDOM-PHASE APPROXIMATION AND THE TOMONAGA-LUTTINGER MODEL

被引：89

作者：

LI, QP ^{[1
]}

DASSARMA, S ^{[1
]}

JOYNT, R ^{[1
]}

机构：

[1] UNIV WISCONSIN,DEPT PHYS,MADISON,WI 53706

来源：

PHYSICAL REVIEW B | 1992年 / 45卷 / 23期

关键词：

D O I：

10.1103/PhysRevB.45.13713

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We show-contrary to the viewpoint that the random-phase approximation (RPA) is progressively worse in lower dimensions-that the simple random-phase approximation provides an exact description for intrasubband plasmon dispersion in one-dimensional quantum wires, by establishing a general equivalence between the RPA and the strongly correlated Tomonaga-Luttinger model for the elementary-excitation spectra in one-dimensional Fermi systems. We also discuss the formal analogy between intrasubband and intersubband collective modes in quantum wires by showing that the one dimensional intrasubband collective excitations can also be thought of as depolarization-shifted single-particle excitations. Our results explain why recent experimentally observed one-dimensional-plasmon dispersion in GaAs quantum wires can be quantitatively described by the RPA.

引用

页码：13713 / 13716

页数：4

共 31 条

[11] ANISOTROPIC PLASMON DISPERSION IN A LATERAL QUANTUM-WIRE SUPERLATTICE
EGELER, T
ABSTREITER, G
WEIMANN, G
DEMEL, T
HEITMANN, D
GRAMBOW, P
SCHLAPP, W
[J]. PHYSICAL REVIEW LETTERS, 1990, 65 (14) : 1804 - 1807
[12] ENGELBRECHT JR, 1991, PHYS REV LETT, V66, P3325
[13] Fetter A, 2003, QUANTUM THEORY MANY
[14] ONE-DIMENSIONAL PLASMON DISPERSION AND DISPERSIONLESS INTERSUBBAND EXCITATIONS IN GAAS QUANTUM WIRES
GONI, AR
PINCZUK, A
WEINER, JS
CALLEJA, JM
DENNIS, BS
PFEIFFER, LN
WEST, KW
[J]. PHYSICAL REVIEW LETTERS, 1991, 67 (23) : 3298 - 3301
[15] LUTTINGER LIQUID THEORY OF ONE-DIMENSIONAL QUANTUM FLUIDS .1. PROPERTIES OF THE LUTTINGER MODEL AND THEIR EXTENSION TO THE GENERAL 1D INTERACTING SPINLESS FERMI GAS
HALDANE, FDM
[J]. JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1981, 14 (19): : 2585 - 2609
[16] INTERSUBBAND RESONANCE IN QUASI ONE-DIMENSIONAL INVERSION CHANNELS
HANSEN, W
HORST, M
KOTTHAUS, JP
MERKT, U
SIKORSKI, C
PLOOG, K
[J]. PHYSICAL REVIEW LETTERS, 1987, 58 (24) : 2586 - 2589
[17] ELEMENTARY COLLECTIVE EXCITATIONS IN MULTILAYERED TWO-DIMENSIONAL SYSTEMS
JAIN, JK
DASSARMA, S
[J]. SURFACE SCIENCE, 1988, 196 (1-3) : 466 - 475
[18] QUASI-ONE-DIMENSIONAL ELECTRON-STATES IN A SPLIT-GATE GAAS/ALGAAS HETEROSTRUCTURE
LAUX, SE
FRANK, DJ
STERN, F
[J]. SURFACE SCIENCE, 1988, 196 (1-3) : 101 - 106
[19] COLLECTIVE EXCITATION-SPECTRA OF ONE-DIMENSIONAL ELECTRON-SYSTEMS
LI, Q
DASSARMA, S
[J]. PHYSICAL REVIEW B, 1989, 40 (08): : 5860 - 5863
[20] PLASMON EXCITATIONS IN ONE-DIMENSIONAL LATERAL-QUANTUM-WIRE SUPERLATTICES
LI, Q
DASSARMA, S
[J]. PHYSICAL REVIEW B, 1990, 41 (14): : 10268 - 10271

← 1 2 3 4 →