APS congratulates David J. Thouless, F. Duncan M. Haldane, and J. Michael Kosterlitz for winning the 2016 Nobel Prize in Physics for their theoretical discoveries using topological concepts. Their work pioneered a new understanding of phase transitions of matter, paving the way for current and future work with topological insulators, superconducting materials, and other applications in condensed matter physics. Five key Physical Review articles related to their research have been made free-to-read.
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
D. J. Thouless, Mahito Kohmoto, MP Nightingale, and M Den Nijs
Phys. Rev. Lett. 49, 405 (1982)
Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the “Parity Anomaly”
F. D. M. Haldane
Phys. Rev. Lett. 61, 2015 (1988)
Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State
F. D. M. Haldane
Phys. Rev. Lett. 50, 1153 (1983)
Universal jump in the superfluid density of two-dimensional superfluids
David R. Nelson and J. M. Kosterlitz
Phys. Rev. Lett., 39, 1201 (1977)
Quantized hall conductance as a topological invariant
Qian Niu, D J Thouless, and Yong-Shi Wu
Phys. Rev. B, 31, 3372 (1985)
