M
Michael N. Barber
Researcher at University of California, Santa Barbara
Publications - 9
Citations - 957
Michael N. Barber is an academic researcher from University of California, Santa Barbara. The author has contributed to research in topics: Ising model & Bethe ansatz. The author has an hindex of 8, co-authored 9 publications receiving 926 citations. Previous affiliations of Michael N. Barber include Australian National University.
Papers
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Surface exponents of the quantum XXZ, Ashkin-Teller and Potts models
TL;DR: In this article, the conformal anomaly and surface exponents of the critical quantum Ashkin-Teller and Potts chains are calculated by exploiting their relations with the mass gap amplitudes as predicted by conformal invariance.
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Conformal invariance, the XXZ chain and the operator content of two-dimensional critical systems
TL;DR: In this paper, Bethe ansatz equations are formulated and solved numerically for eigenstates of the XXZ Hamiltonian on a finite chain with periodic boundary conditions and with a generalized class of twisted boundary conditions.
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Finite-size scaling in the three-dimensional Ising model.
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Spin-s quantum chains and Temperley-Lieb algebras
TL;DR: In this paper, a family of isotropic spin-s quantum chains consisting of sums of operators satisfying a Temperley-Lieb algebra was constructed and the exact values for the infinite lattice limit of the ground-state energy per site and for the (non-zero) gap to the lowest energy excited state were derived from the equivalence with a Bethe ansatz soluble XXZ model.
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Dynamical phase transitions in the two-dimensional ANNNI model
TL;DR: In this article, the phase diagram of the two-dimensional anisotropic next-nearest neighbor Ising (ANNNI) model is studied by comparing the time evolution of two distinct spin configurations submitted to the same thermal noise.