Ian Affleck

Professor Emeritus

Department of Physics & Astronomy

Current Projects

  • Self-interacting Majorana modes (the Majorana-Hubbard model)
  • A Majorana mode interacting with a multi-channel Luttinger liquid
  • Quantum spin chains with SU(n) symmetry
  • Phase diagram of the generalized Kitaev spin chain model
  • Gapless phases in integer spin chains
  • Observing impurity entropy in the multi-channel Kondo effect (in collaboration with Joshua Folk)
  • The Kitaev spin model

Selected Publications

  • Affleck, I., Kennedy, T., Lieb, E., and Tasaki, H., Rigorous Results on Valence-Bond Ground States in Antiferromagnets, Phys. Rev. Lett. 59, 799-802 (1987).
  • I. Affleck, J.B. Marston. Large-n limit of the Heisenberg-Hubbard model: implications for high-Tc superconductors. Phys. Rev. B 37, 3774 (1988).
  • Affleck, I. and Ludwig, A.W.W., Universal Non-Integer `Groundstate Degeneracy’ in Critical Quantum Systems, Phys. Rev. Lett., 67, 161-164 (1991).
  • S. Gozel, F. Mila, I. Affleck. Asymptotic Freedom and Large Spin Antiferromagnetic Chains. Phys. Rev. Lett. 123, 037202 (2019).
  • Z. Shi, E. Nica, I. Affleck. Kondo effect due to a hydrogen impurity in graphene: a multichannel Kondo problem with diverging hybridization. Phys. Rev. B 100, 125158 (2019).