Fractionalization, Topological Order, and Quasiparticle Statistics
نویسندگان
چکیده
منابع مشابه
Fractionalization, topological order, and quasiparticle statistics.
We argue, based on general principles, that topological order is essential to realize fractionalization in gapped insulating phases in dimensions d > or = 2. In d = 2 with genus g, we derive the existence of the minimum topological degeneracy q(g) if the charge is fractionalized in units of 1/q, irrespective of microscopic model or effective theory. Furthermore, if the quasiparticle is either b...
متن کاملSymmetry Fractionalization and Topological Order
In this article, I would first introduce a new phase of matter with symmetry fractionalization and symmetry protected topological orders. Such a system is beyond Landau's symmetry breaking theory. For a symmetry protected topological ordered state, even without symmetry breaking, it is still different from a conventional non-symmetry breaking one as it cannot be adiabatically connected to a tri...
متن کاملFractionalization, topological order, and cuprate superconductivity
This paper is concerned with the idea that the electron is fractionalized in the cuprate high-Tc materials. We show how the notion of topological order may be used to develop a precise theoretical characterization of a fractionalized phase in spatial dimension higher than 1. Apart from the fractional particles into which the electron breaks apart, there are nontrivial gapped topological excitat...
متن کاملAnomalous Symmetry Fractionalization and Surface Topological Order
Xie Chen, 2 F. J. Burnell, Ashvin Vishwanath, 5 and Lukasz Fidkowski Department of Physics and Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, CA 91125, USA Department of Physics, University of California, Berkeley, CA, 94720, USA Department of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455, USA Department of Physics, University...
متن کاملFractionalization in the cuprates: detecting the topological order.
The precise theoretical characterization of a fractionalized phase in spatial dimensions higher than one is through the concept of "topological order." We describe a physical effect that is a robust and a direct consequence of this hidden order that should enable a precise experimental characterization of fractionalized phases. In particular, we propose specific "smoking-gun" experiments to una...
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: 2006
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.96.060601