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Indian Journal of Pure & Applied Physics (IJPAP) >
IJPAP Vol.44 [2006] >
IJPAP Vol.44(02) [February 2006] >
| Title: | Many particle aspects of a quantum wire |
| Authors: | Sharma, A C |
| Keywords: | Quantum wire
Fermi surface
Coulomb potential |
| Issue Date: | Feb-2006 |
| Publisher: | CSIR |
| IPC Code: | B82B1/00 |
| Abstract: | The electronic systems in one dimension have features quite
distinct from those in higher dimensions. The one-dimensional Fermi surface
consists of two discrete points, while in higher dimensions it is continuous.
The low-energy particle-hole pairs’ spectrum, which arises from momentum and
energy conservations for wave vector between zero and twice of Fermi wave
vector does not exist in one dimension. In higher dimensions, this region of
missing states is filled in. The Fourier transform of one-dimensional Coulomb
potential diverges. This led to wide spread belief that one-dimensional
interacting electronic systems should exhibit non-Fermi liquid (known as
Luttinger liquid) behaviour. However, there is still no unambiguous
evidence both for the real existence or non-existence of Luttinger
liquid behaviour in a
realistic quantum wire. This talk briefly reviews key aspects of Fermi
liquid approach and Tomonaga-Luttinger liquid approach for a one-dimensional
system. In this paper, structure factor, pair distribution function and
electron-electron scattering, which exhibit similarity between two approaches
in low energy and momentum regime, is reviewed. |
| Page(s): | 98-106 |
| ISSN: | 0975-1041 (Online); 0019-5596 (Print) |
| Source: | IJPAP Vol.44(02) [February 2006]
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