2026 Murray T. Batchelor: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	47	1287	1100	32	29	202	7978

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

1287

1100

202

7978

Research.com Recognitions

1997 - Pawsey Medal, Australian Academy of Science

Overview

Murray T. Batchelor is affiliated with the Australian National University in Australia and is an active researcher in the field of Physics and Astronomy. Their scholarly work spans 51 published works across this main discipline, with a strong focus on several key subfields including Atomic and Molecular Physics, and Optics, Geometry and Topology, Artificial Intelligence, Statistical and Nonlinear Physics, and Condensed Matter Physics.

Their research addresses various topics within physics, including:

Algebraic structures and combinatorial models
Quantum many-body systems
Quantum Mechanics and Non-Hermitian Physics
Quantum Information and Cryptography
Quantum and electron transport phenomena
Quantum chaos and dynamical systems
Nonlinear Waves and Solitons

Recent publications by Murray T. Batchelor include:

"The hidden symmetry of the asymmetric quantum Rabi model," 2021, Journal of Physics A Mathematical and Theoretical
"Hidden symmetry and tunneling dynamics in asymmetric quantum Rabi models," 2021, Physical review. A/Physical review, A
"Generalized adiabatic approximation to the quantum Rabi model," 2021, Physical review. A/Physical review, A
"Nonorthogonal-qubit-state expansion for the asymmetric quantum Rabi model," 2021, Physical review. A/Physical review, A
"Exceptional points in the Baxter-Fendley free parafermion model," 2023, SciPost Physics

Their frequent collaborators include Huan-Qiang Zhou, Ian P. McCulloch, Zi-Min Li, Qianqian Shi, and Vladimir V. Mangazeev, with whom they have co-authored multiple works across various topics within their research focus.

Murray T. Batchelor's research has been published in a variety of venues, notably:

arXiv (Cornell University)
Journal of Physics A Mathematical and Theoretical
Physical review. A/Physical review, A
Physical review. B./Physical review. B
AAPPS bulletin

In recognition of their contributions to the scientific community, Murray T. Batchelor received the Pawsey Medal from the Australian Academy of Science in 1997.

Best Publications

Surface exponents of the quantum XXZ, Ashkin-Teller and Potts models

F C Alcaraz;M N Barber;M T Batchelor;R J Baxter

597
Citations
Conformal invariance, the XXZ chain and the operator content of two-dimensional critical systems

Francisco C Alcaraz;Michael N Barber;Murray T Batchelor

328
Citations
Central charges of the 6- and 19-vertex models with twisted boundary conditions

A Klumper;M T Batchelor;P A Pearce

276
Citations
Conformal anomaly and surface energy for Potts and Ashkin-Teller quantum chains

C J Hamer;G R W Quispel;M T Batchelor

227
Citations
Spectrum of the biquadratic spin-1 antiferromagnetic chain

Michael N. Barber;Murray T. Batchelor

212
Citations
Conformal Invariance and the Spectrum of the XXZ Chain

Francisco C. Alcaraz;Michael N. Barber;Murray T. Batchelor

202
Citations
The quantum symmetric XXZ chain at Delta=-1/2, alternating-sign matrices and plane partitions

M.T. Batchelor;J.C. de Gier;B. Nienhuis

182
Citations
Analytical eigenstates for the quantum Rabi model

Honghua Zhong;Honghua Zhong;Qiongtao Xie;Qiongtao Xie;Murray T Batchelor;Murray T Batchelor;Chaohong Lee

177
Citations
One-Dimensional Interacting Anyon Gas: Low-Energy Properties and Haldane Exclusion Statistics

Murray T Batchelor;Xi-Wen Guan;Norman Oelkers

165
Citations
$q$ Deformations of the O(3) Symmetric Spin 1 Heisenberg Chain

M T Batchelor;L Mezincescu;R I Nepomechie;V Rittenberg

142
Citations
The Bethe ansatz after 75 years

Murray T. Batchelor

112
Citations
Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices

C.M. Yung;M.T. Batchelor

112
Citations
Exact solution and interfacial tension of the six-vertex model with anti-periodic boundary conditions

M T Batchelor;R J Baxter;M J O'Rourke;C M Yung

111
Citations
Exact solution for the spin-s XXZ quantum chain with non-diagonal twists

C.M. Yung;M.T. Batchelor

110
Citations
An analytic treatment of finite-size corrections in the spin-1 antiferromagnetic XXZ chain

A Klumper;M T Batchelor

107
Citations
Bethe ansatz study of one-dimensional Bose and Fermi gases with periodic and hard wall boundary conditions

Norman Oelkers;Murray Batchelor;Michael Bortz;Xi-Wen Guan

106
Citations
Evidence for the super Tonks–Girardeau gas

Murray Batchelor;Michael Bortz;Xi-Wen Guan;Norman Oelkers

106
Citations
Critical properties of the Izergin-Korepin and solvable O(n) models and their related quantum spin chains

S O Warnaar;M T Batchelor;B Nienhuis

103
Citations
A mechanism for the hydration force demonstrated in a model system

Phil Attard;Murray T. Batchelor

99
Citations
Exact results for the adsorption of a flexible self-avoiding polymer chain in two dimensions.

M. T. Batchelor;C. M. Yung

91
Citations
Beautiful Models: 70 Years of Exactly Solved Quantum Many-Body Problems

M T Batchelor

28
Citations

Frequent Co-Authors

Vladimir V. Bazhanov Australian National University

Atsuo Kuniba University of Tokyo

Enrique Solano University of the Basque Country

Paul A. Pearce University of Melbourne

Jingsong He Shenzhen University

John Cardy University of California, Berkeley

G. R. W. Quispel La Trobe University

Rafael I. Nepomechie University of Miami

External Links

Personal website of Murray T. Batchelor Google Scholar page

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