Topological insulators are new states of quantum matter which cannot be adiabatically
connected to conventional insulators and semiconductors. They are characterized by a full …

This paper gives a systematic review of a field theoretical approach to the fractional quantum
Hall effect (FQHE) that has been developed in the past few years. We first illustrate some …

Silicene, germanene and stanene are part of a monoelemental class of two-dimensional
(2D) crystals termed 2D-Xenes (X= Si, Ge, Sn and so on) which, together with their ligand …

The complex phase diagram of high-critical temperature (T c) superconductors can be
deduced from an SO (5) symmetry principle that unifies antiferromagnetism and d-wave …

Topological band insulators have recently been discovered in spin-orbit coupled two-and
three-dimensional systems. We theoretically predict a class of topological insulators where …

* The idea of proving Bogomolov's conjecture by using arithmetic intersection theory is due
to L. Szpiro. I would like to thank him for introducing me to this circle of problems. The idea of …

The complex dynamic system is a subject to study iterations on P1 or PN with respect to
complex topology. It originated from the study of Newton method and the three body problem …

Topological insulators are new states of quantum matter in which surface states residing in
the bulk insulating gap of such systems are protected by time-reversal symmetry. The study …

We show that the quantum spin Hall (QSH) effect, a state of matter with topological
properties distinct from those of conventional insulators, can be realized in mercury telluride …

Recent theory predicted that the quantum spin Hall effect, a fundamentally new quantum
state of matter that exists at zero external magnetic field, may be realized in HgTe/(Hg, Cd) …