547 citations · 2.8k across the 92 of their papers we have counts for
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Addendum to `Algebraic equations for the exceptional eigenspectrum of the generalized Rabi model'
Zi-Min Li, Murray T. Batchelor
In our recent paper (Li and Batchelor J. Phys. A: Math. Theor. 48, 454005 (2015)) we obtained exceptional points in the eigenspectrum of the generalized Rabi model in terms of a se…
The surprising connection between exactly solved lattice models and discrete holomorphicity
Murray T. Batchelor
Over the past few years it has been discovered that an "observable" can be set up on the lattice which obeys the discrete Cauchy-Riemann equations. The ensuing condition of discret…
Quantum Inverse Scattering Method with anyonic grading
M T Batchelor, A Foerster, X-W Guan +2
We formulate the Quantum Inverse Scattering Method for the case of anyonic grading. This provides a general framework for constructing integrable models describing interacting hard…
processes, hiding exponents and self-avoiding walks in a wedge
Nathan Deutscher, Murray T. Batchelor
This article employs Schramm-Loewner Evolution to obtain intersection exponents for several chordal curves in a wedge. As is believed to describe the contin…
Random walks on finite lattice tubes
B. I. Henry, M. T. Batchelor
Exact results are obtained for random walks on finite lattice tubes with a single source and absorbing lattice sites at the ends. Explicit formulae are derived for the absorption p…
The Rotor Model and Combinatorics
M. T. Batchelor, J. de Gier, B. Nienhuis
We examine the groundstate wavefunction of the rotor model for different boundary conditions. Three conjectures are made on the appearance of numbers enumerating alternating sign m…
The XXZ spin chain at : Bethe roots, symmetric functions and determinants
Jan de Gier, Murray Batchelor, Bernard Nienhuis +1
A number of conjectures have been given recently concerning the connection between the antiferromagnetic XXZ spin chain at and various symmetry classes of alternatin…