Topological excitation in the Fractional Quantum Hall system
نویسندگان
چکیده
Two kinds of topological excitations, vortices and skyrmions, are studied in the frame of Ginzburg-Landau theory. We obtain the rigorous relation between the topological excitation and the order parameters in the fractional quantum Hall systems. We also discuss the evolution of the vortices in fractional quantum Hall systems. PACS numbers: 73.40.Hm; 02.40.-k; 12.93.Dc Typeset using REVTEX ∗Anthor to whom correspondence should be addressed. Email: [email protected] 1
منابع مشابه
Broken Symmetry and Josephson-like Tunneling in Quantum Hall Bilayers
The various quantum Hall effects are among the most remarkable many-body phenomena discovered in the second half of the twentieth century. 2, 3, 4 The fractional effect has yielded fractional charge, spin and statistics, as well as unprecedented order parameters. There are beautiful connections with a variety of different topological and conformal field theories of interest in nuclear and high ...
متن کامل1 4 N ov 2 01 0 Fractional topological insulators in three dimensions
Topological insulators can be generally defined by a topological field theory with an axion angle θ of 0 or π. In this work, we introduce the concept of fractional topological insulator defined by a fractional axion angle and show that it can be consistent with time reversal (T ) invariance if ground state degeneracies are present. The fractional axion angle can be measured experimentally by th...
متن کاملManifestation of spin degrees of freedom in the double fractional quantum Hall system.
The double fractional quantum Hall system of spin 1/2 electrons is numerically studied to predict that there exists a novel spin-unpolarized quantum liquid specific to the multi-species system, which exemplifies a link between the spin state and the inter-layer electron correlation. Even when the ground state is spin-polarized, the lowest charge-excitation mode involves the spin when the interl...
متن کاملProbing topological order in quantum Hall states using entanglement calculations
I provide the background and a brief review of the interdisciplinary use of entanglement calculations to investigate a type of unconventional order in many-body systems, known as topological order. The discussion focuses on a particular class of topologically ordered states: the fractional quantum Hall states
متن کاملGrowing quantum states with topological order
We discuss a protocol for growing states with topological order in interacting many-body systems using a sequence of flux quanta and particle insertion. We first consider a simple toy model, the superlattice Bose-Hubbard model, to explain all required ingredients. Our protocol is then applied to fractional quantum Hall systems in both, continuum and lattice. We investigate in particular how the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008