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List of works by Murray Batchelor

A biofilm and organomineralisation model for the growth and limiting size of ooids

scientific article published on 11 January 2018

Analytic thermodynamics and thermometry of Gaudin-Yang Fermi gases.

scientific article published on 30 September 2009

Anomalous bulk behavior in the free parafermion Z(N) spin chain

scientific article published on 01 June 2018

Asymptotic Bethe-ansatz solution for one-dimensional SU(2) spinor bosons with finite-range Gaussian interactions

Beautiful Models: 70 Years of Exactly Solved Quantum Many-Body Problems

Bethe-Ansatz results for a solvable O(n) model on the square lattice

scientific article published on 01 May 1989

Branching in the zero-noise limit of discrete Laplacian growth processes

scientific article published on 01 March 1992

Comparative study of large-scale Laplacian growth patterns

scientific article published on 01 January 1995

Conformal Anomaly and Scaling Dimensions of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">O</mml:mi><mml:mn /><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo><mml:mn /></mml:math>Mode

scientific article published on 26 July 2002

Conformal anomaly and scaling dimensions of the O(n) model from an exact solution on the honeycomb lattice

scientific article published on 01 July 1988

Conformal invariance and critical behavior of the O(n) model on the honeycomb lattice

scientific article published on 01 February 1989

Conformal invariance and the spectrum of the XXZ chain

scientific article published on 01 February 1987

Degenerate ground states and multiple bifurcations in a two-dimensional q-state quantum Potts model.

scientific article published on 30 June 2014

Exact results for Hamiltonian walks from the solution of the fully packed loop model on the honeycomb lattice.

scientific article

Exact results for the thermal and magnetic properties of strong coupling ladder compounds.

scientific article published on 19 November 2003

Exact solution and surface critical behaviour of an O(n) model on the honeycomb lattice

scientific article published on 25 August 2002

Ground-state energy of some staggered spin-(1/2 antiferromagnetic XXZ Heisenberg chains

scientific article published on 01 November 1989

Integrable models and quantum spin ladders: comparison between theory and experiment for the strong coupling ladder compounds

Magnetic phase transitions in one-dimensional strongly attractive three-component ultracold fermions

scientific article published on 19 May 2008

One-dimensional interacting anyon gas: low-energy properties and Haldane exclusion statistics.

scientific article published in June 2006

Scaling and universality in the two-dimensional Ising model with a magnetic field

scientific article published on 15 June 2010

Sparse matrix factorizations of transfer matrices

scientific article published in 1987

Spectrum of the biquadratic spin-1 antiferromagnetic chain

scientific article published on 01 September 1989

Surface critical behaviour of the honeycomb O(n) loop model with mixed ordinary and special boundary conditions

scientific article published on 25 August 2002

Surface critical phenomena and scaling in the eight-vertex model

scientific article published on 01 January 1996

The quantum Rabi model: solution and dynamics

article

Universal order parameters and quantum phase transitions: a finite-size approach

scientific article

Who cares what's new?

scientific article published in Nature

Wilson ratio of fermi gases in one dimension.

scientific article published on 23 September 2013

q-deformations of the O(3) symmetric spin-1 Heisenberg chain