| Issue |
Europhys. Lett.
Volume 44, Number 2, October II 1998
|
|
|---|---|---|
| Page(s) | 131 - 136 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i1998-00446-x | |
| Published online | 01 September 2002 | |
Geometric phase for a dimerized disordered continuum: Topological shot noise
1
Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur, Bangalore, 560 064, India
and Department of Physics, Indian Institute of Science, Bangalore, 560 012, India
2
Raman Research Institute - Bangalore, 560 080, India
Received:
27
March
1998
Accepted:
15
August
1998
Geometric phase shift associated with an electron propagating
through a dimerized disordered continuum is shown to be 0, or
(modulo 
), according to whether the associated circuit
traversed in the two-dimensional parameter space excludes, or
encircles a certain singularity. This phase shift is a topological
invariant. Its discontinuous dependence on the electron energy and
disorder implies a statistical spectral and conductance fluctuation in a
corresponding mesoscopic system. Inasmuch as the fluctuation derives
from the discreteness of the phase shift, it may aptly be called a
topological shot noise.
PACS: 03.65.Bz – Foundations, theory of measurement, miscellaneous theories (including Aha ronov Bohm effect, Bell inequalities, Berry's phase) / 73.23.-b – Mesoscopic systems / 72.15.-v – Electronic conduction in metals and alloys
© EDP Sciences, 1998
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