Topological Order in the Insulating Josephson Junction Array
- 14 March 2003
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 90 (10) , 107003
- https://doi.org/10.1103/physrevlett.90.107003
Abstract
We propose a Josephson junction array which can be tuned into an unconventional insulating state by varying external magnetic field. This insulating state retains a gap to half-vortices; as a consequence, such an array with nontrivial global geometry exhibits a ground state degeneracy. This degeneracy is protected from the effects of external noise. We compute the gaps, separating higher energy states from the degenerate ground state, and we discuss experiments probing the unusual properties of this insulator.Keywords
All Related Versions
This publication has 11 references indexed in Scilit:
- Fractionalization in an easy-axis Kagome antiferromagnetPhysical Review B, 2002
- Pairing of Cooper Pairs in a Fully Frustrated Josephson-Junction ChainPhysical Review Letters, 2002
- Topologically protected quantum bits using Josephson junction arraysNature, 2002
- Short-ranged resonating valence bond physics, quantum dimer models, and Ising gauge theoriesPhysical Review B, 2001
- Fractionalization, topological order, and cuprate superconductivityPhysical Review B, 2001
- gauge theory of electron fractionalization in strongly correlated systemsPhysical Review B, 2000
- Reliable quantum computersProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1998
- Mean-field theory of spin-liquid states with finite energy gap and topological ordersPhysical Review B, 1991
- Large-Nexpansion for frustrated quantum antiferromagnetsPhysical Review Letters, 1991
- Ground-state degeneracy of the fractional quantum Hall states in the presence of a random potential and on high-genus Riemann surfacesPhysical Review B, 1990