Insulator, Conductor, and Commensurability: A Topological Approach
نویسندگان
چکیده
منابع مشابه
Insulator, conductor, and commensurability: a topological approach.
I discuss a topological relation of the conduction property of a many-particle system on a periodic lattice at zero temperature to the energy spectrum. When the particle number per unit cell is an irreducible fraction p/q, an insulator must have q low-lying states of energy O(1/L) in one dimension and of energy O(1) in two dimensions, where L is the linear system size.
متن کاملA natural topological insulator.
The earth's crust and outer space are rich sources of technologically relevant materials which have found application in a wide range of fields. Well-established examples are diamond, one of the hardest known materials, or graphite as a suitable precursor of graphene. The ongoing drive to discover novel materials useful for (opto)electronic applications has recently drawn strong attention to to...
متن کاملTopological insulator nanowires and nanoribbons.
Recent theoretical calculations and photoemission spectroscopy measurements on the bulk Bi(2)Se(3) material show that it is a three-dimensional topological insulator possessing conductive surface states with nondegenerate spins, attractive for dissipationless electronics and spintronics applications. Nanoscale topological insulator materials have a large surface-to-volume ratio that can manifes...
متن کاملTopological insulator nanostructures
© 2014 Materials Research Society MRS BULLETIN • VOLUME 39 • OCTOBER 2014 • www.mrs.org/bulletin Introduction Topological insulators (TIs) are a class of materials where the bulk is a band insulator, but the surface possesses electronic states carrying electric current. 1 , 2 One unique characteristic of the surface bands is the spin-momentum locking property—electrons have a single spin state ...
متن کاملTopological Anderson insulator.
Disorder plays an important role in two dimensions, and is responsible for striking phenomena such as metal-insulator transition and the integral and fractional quantum Hall effects. In this Letter, we investigate the role of disorder in the context of the recently discovered topological insulator, which possesses a pair of helical edge states with opposing spins moving in opposite directions a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2003
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.90.236401