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A substance that reaches superconductivity, a state in which magnetic fields cannot penetrate, and there is no electrical resistance, is referred to as a superconductor. In 1911, Heike Kamerlingh Onnes of Leiden University, a Dutch physicist, observed a relation between the temperature and the resistance of the element mercury. The mercury sample was then cooled in liquid helium to study the linear dependence of resistance on temperature. It was observed that, as the temperature decreased, the...
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A superconductor is a substance that offers zero resistance to the electric current when it drops below a critical temperature. Zero resistance is not the only interesting phenomenon as materials reach their transition temperatures. A second effect is the exclusion of magnetic fields. This is known as the Meissner effect. A light, permanent magnet placed over a superconducting sample will levitate in a stable position above the superconductor. High-speed trains that levitate on strong...
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Determining Membrane Protein Topology Using Fluorescence Protease Protection FPP
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Fibonacci Topological Superconductor.

Yichen Hu1, C L Kane1

  • 1Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.

Physical Review Letters
|February 27, 2018
PubMed
Summary
This summary is machine-generated.

We present a new model for interacting Majorana fermions, describing a Fibonacci topological phase. This theory predicts a related anti-Fibonacci phase and proposes an interferometer to probe non-Abelian statistics.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Field Theory
  • Topological Phases of Matter

Background:

  • Topological order in condensed matter systems is crucial for fault-tolerant quantum computation.
  • Majorana fermions are exotic particles with potential applications in topological quantum computing.
  • Existing models often rely on parafermions to describe complex topological phases.

Purpose of the Study:

  • To introduce a novel model of interacting Majorana fermions.
  • To describe a superconducting phase with Fibonacci topological order.
  • To predict and characterize a related anti-Fibonacci phase.

Main Methods:

  • Utilizing a SO(7)_{1}/(G_{2})_{1} coset factorization for theoretical development.
  • Constructing a solvable one-dimensional model and extending it to two dimensions via network construction.
  • Proposing a generalized Majorana interferometer to probe anyonic statistics.

Main Results:

  • The model successfully describes the Fibonacci topological phase without requiring parafermions.
  • A novel, closely related anti-Fibonacci phase characterized by the tricritical Ising model is predicted.
  • It is demonstrated that Majorana fermions can split into Fibonacci anyons.

Conclusions:

  • The developed theory provides a new framework for understanding Fibonacci and anti-Fibonacci topological phases.
  • The proposed interferometer offers a direct experimental method to probe non-Abelian statistics of Fibonacci anyons.
  • This work advances the study of topological phases and their potential for quantum information processing.