THE
COLLEGE OF SCIENCE, ZHEJIANG UNIVERSITY
PHYSICS COLLOQUIUM
物理学术前沿讲座
_________________________________________________________________________________________
Reconstruction of
Fractional Quantum Hall Edges
by
Prof.
Dr. Kun Yang
National High Magnetic Field Lab,
USA
2002年6月7日
星期五16:15-17:15
浙江近代物理中心
报告厅
#203
(light refreshments will be served prior to the
colloquium)
欢迎感兴趣的教师、研究生及高年级本科生参加
_____________________________________________________________
ABSTRACT
In this talk we discuss our recent work on
the interplay of electron-electron
interaction, confining potential, and effects of finite temperature at the edge
of a quantum Hall liquid. Our exact diagonalization calculations indicate that
edge reconstruction occurs in the fractional quantum Hall regime for a variety
of confining potential, including ones that correspond to a "sharp"
edge. The electron density profile of the reconstructed edge depends sensitively
on the details of the confining potential. We also propose a modification to the
chiral Luttinger liquid theory to accommodate the possibility of edge
reconstruction, which also allows us to obtain the exact critical behavior of
the reconstruction transition. To study the effects of finite temperature on
edge reconstructions, we have performed Hartree-Fock calculation for
reconstructed integer quantum Hall edges, and thermal averaging of all eigen-states for fractional edges with small sizes. We find the reconstruction is
suppressed by thermal fluctuations above certain characteristic temperature. We
discuss the implication of our results on recent edge tunneling and microwave
absorption experiments.