Abstract
We analyze the ground state of the open spin-1/2 isotropic quantum spin chain with a non-diagonal boundary term using a recently proposed Bethe ansatz solution. As the coefficient of the non-diagonal boundary term tends to zero, the Bethe roots split evenly into two sets: those that remain finite, and those that become infinite. We argue that the former satisfy conventional Bethe equations, while the latter satisfy a generalization of the Richardson-Gaudin equations. We derive an expression for the leading correction to the boundary energy in terms of the boundary parameters.
Original language | English (US) |
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Article number | 032001 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 47 |
Issue number | 3 |
DOIs | |
State | Published - Jan 24 2014 |
Keywords
- Bethe ansatz
- Richardson-Gaudin model
- boundary (surface) energy
- integrable boundary conditions
- integrable quantum spin chain
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Modeling and Simulation
- Mathematical Physics
- Physics and Astronomy(all)