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 QuantumSystems, 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).