One method which we have applied with great success is conformal field theory. While its original development was motivated by string theory, we have applied it to quantum spin chains, quantum wires, and various types of quantum impurity problems including the Kondo effect and junctions of quantum wires. We also use the renormalization group, which straddles high energy and condensed matter physics, and have frequently applied large scale numerical techniques to these problems, especially the Density Matrix Renormalization Group. Our collaborators include Steven White at UC Irvine and Frederic Mila at École Polytechnique Fédérale de Lausanne.
• 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)
PhD Harvard University 1976 – 1979
Asst. Professor Princeton University 1981 – 1987
Professor UBC 1987 – present
Samuel Gozel (EPFL), Tarun Tummuru, Kyle Wamer
Pedro Lopes, Wang Yang
I. Affleck, J.B. Marson. Large-n limit of the Heisenberg-Hubbard model: implications for high-Tc superconductors. Phys. Rev. B 37, 3774 (1988).
I. Affleck, A. Rahmani, D. Pikulin. Majorana-Hubbard model on the square lattice. Phys. Rev. B 96, 125121 (2018).
D. Wang, I. Affleck, R. Raussendorf. Topological Qubits from Valence Bond Solids. Phys. Rev. Lett. 120, 200503 (2018).