Volume 44, Number 2, October II 1998
|Page(s)||131 - 136|
|Published online||01 September 2002|
Geometric phase for a dimerized disordered continuum: Topological shot noise
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
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.