Condensation of Nonabelian Moore–Read Quasiholes in Correlated Composite Fermion Liquids

نویسندگان

  • D. Wodziński
  • A. Wójs
چکیده

Twoand three-body correlation functions (number of pairs or triplets vs. relative angular momentum) of electrons or Laughlin quasielectrons (i.e., composite fermions in their first excited Landau level) are studied numerically in several fractional quantum Hall liquids. It is shown directly that the νe = 4/11 liquid (corresponding to a ν = 1/3 filling of composite fermions in their first excited Landau level) is a paired state of quasielectrons, hence interpreted as a condensate of “second-generation” quasiholes of Moore–Read ν = 1/2 state of composite fermions.

منابع مشابه

Half-filled Landau level, topological insulator surfaces, and three-dimensional quantum spin liquids

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. We synthesize and partly review recent developments relating the physics of the half-filled Landau level in two dim...

متن کامل

Fermi Liquid without Quasiparticles and Electron Spectral Functions of Two-Dimensional High-Tc Superconductors

Properties of strongly correlated two-dimensional (2D) electron systems in solids are studied on the assumption that these systems undergo a phase transition, called fermion condensation, whose characteristic feature is flattening of the electron spectrum ǫ(p). Unlike the previous models in the present study, the decay of single-particle states is properly taken into account. Remarkably, the va...

متن کامل

Quantum groups and nonabelian braiding in quantum Hall systems

Wave functions describing quasiholes and electrons in nonabelian quantum Hall states are well known to correspond to conformal blocks of certain coset conformal field theories. In this paper we explicitly analyse the algebraic structure underlying the braiding properties of these conformal blocks. We treat the electrons and the quasihole excitations as localised particles carrying charges relat...

متن کامل

Exclusion statistics for fractional quantum Hall states on a sphere

We discuss exclusion statistics parameters for quasiholes and quasielectrons excited above the fractional quantum Hall states near ν = p/(2np + 1). We derive the diagonal statistics parameters from the (“unprojected”) composite fermion (CF) picture. We propose values for the off-diagonal (mutual) statistics parameters as a simple modification of those obtained from the unprojected CF picture, b...

متن کامل

Monte Carlo evaluation of non-Abelian statistics.

We develop a general framework to (numerically) study adiabatic braiding of quasiholes in fractional quantum Hall systems. Specifically, we investigate the Moore-Read (MR) state at nu=1/2 filling factor, a known candidate for non-Abelian statistics, which appears to actually occur in nature. The non-Abelian statistics of MR quasiholes is demonstrated explicitly for the first time, confirming th...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

متن کامل
عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006