Dunning, Clare and Ibanez, Miguel and Links, Jon and Sierra, German and Zhou, Shao-You (2010) Exact solution of the p+ip pairing Hamiltonian and a hierarchy of integrable models. Journal of Statistical Mechanics: Theory and Experiment (P08025). pp. 1-62. ISSN 1742-5468.
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Using the well-known trigonometric six-vertex solution of the Yang–Baxter equation we derive an integrable pairing Hamiltonian with anyonic degrees of freedom. The exact algebraic Bethe ansatz solution is obtained using standard techniques. From this model we obtain several limiting models, including the pairing Hamiltonian with p + ip-wave symmetry. An in-depth study of the p + ip model is then undertaken, including a mean-field analysis, analytical and numerical solutions of the Bethe ansatz equations and an investigation of the topological properties of the ground-state wavefunction. Our main result is that the ground-state phase diagram of the p + ip model consists of three phases. There is the known boundary line with gapless excitations that occurs for vanishing chemical potential, separating the topologically trivial strong pairing phase and the topologically non-trivial weak pairing phase. We argue that a second boundary line exists separating the weak pairing phase from a topologically trivial weak coupling BCS phase, which includes the Fermi sea in the limit of zero coupling. The ground state on this second boundary line is the Moore–Read state.
|Uncontrolled keywords:||integrable spin chains (vertex models), quantum integrability (Bethe ansatz)|
|Subjects:||Q Science > QA Mathematics (inc Computing science)|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science|
|Depositing User:||Clare Dunning|
|Date Deposited:||04 Oct 2012 10:25|
|Last Modified:||23 Jan 2013 09:09|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/31252 (The current URI for this page, for reference purposes)|
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