Exactly solvable pairing model for superconductors with p(x)+ip(y)-wave symmetry

Ibanez, Miguel, Links, Jon, Sierra, German and Zhao, Shao-you (2009) Exactly solvable pairing model for superconductors with p(x)+ip(y)-wave symmetry. Physical Review B, 79 18: 180501.1-180501.4. doi:10.1103/PhysRevB.79.180501

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Author Ibanez, Miguel
Links, Jon
Sierra, German
Zhao, Shao-you
Title Exactly solvable pairing model for superconductors with p(x)+ip(y)-wave symmetry
Formatted title
Exactly solvable pairing model for superconductors with px+ipy-wave symmetry
Journal name Physical Review B   Check publisher's open access policy
ISSN 1098-0121
1550-235X
Publication date 2009-05-01
Year available 2009
Sub-type Article (original research)
DOI 10.1103/PhysRevB.79.180501
Open Access Status File (Publisher version)
Volume 79
Issue 18
Start page 180501.1
End page 180501.4
Total pages 4
Editor P. D. Adams
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
Subject C1
970101 Expanding Knowledge in the Mathematical Sciences
010502 Integrable Systems (Classical and Quantum)
Abstract We present the exact Bethe ansatz solution for the two-dimensional BCS pairing Hamiltonian with p(x)+ip(y) symmetry. Using both mean-field theory and the exact solution we obtain the ground-state phase diagram parametrized by the filling fraction and the coupling constant. It consists of three phases that are denoted weak-coupling BCS, weak pairing, and strong pairing. The first two phases are separated by a topologically protected line where the exact ground state is given by the Moore-Read pfaffian state. In the thermodynamic limit the ground-state energy is discontinuous on this line. The other two phases are separated by the critical line, also topologically protected, previously found by Read and Green. We establish a duality relation between the weak and strong pairing phases, whereby ground states of the weak phase are "dressed" versions of the ground states of the strong phase by zero energy (Moore-Read) pairs and characterized by a topological order parameter.
Formatted abstract
We present the exact Bethe ansatz solution for the two-dimensional BCS pairing Hamiltonian with px+ipy symmetry. Using both mean-field theory and the exact solution we obtain the ground-state phase diagram parametrized by the filling fraction and the coupling constant. It consists of three phases that are denoted weak-coupling BCS, weak pairing, and strong pairing. The first two phases are separated by a topologically protected line where the exact ground state is given by the Moore-Read pfaffian state. In the thermodynamic limit the ground-state energy is discontinuous on this line. The other two phases are separated by the critical line, also topologically protected, previously found by Read and Green. We establish a duality relation between the weak and strong pairing phases, whereby ground states of the weak phase are “dressed” versions of the ground states of the strong phase by zero energy (Moore-Read) pairs and characterized by a topological order parameter.


Keyword BCS theory
Phase-transitions
Q-Index Code C1
Q-Index Status Confirmed Code
Grant ID FIS2006-04885
INSTANS 2005-2010
DP0663772
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
2010 Higher Education Research Data Collection
 
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Citation counts: TR Web of Science Citation Count  Cited 42 times in Thomson Reuters Web of Science Article | Citations
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Created: Thu, 03 Sep 2009, 18:01:25 EST by Mr Andrew Martlew on behalf of School of Mathematics & Physics