Ian Affleck

(604) 822-2137
Physics & Astronomy
Hennings Building
406 - 6224 Agricultural Rd
Vancouver, BC V6T 1Z1

Research Focus
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.

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) 

Career Highlights
PhD Harvard University 1976 – 1979
Asst. Professor Princeton University 1981 – 1987
Professor UBC 1987 – present

2018 Graduates
Samuel Gozel (EPFL), Tarun Tummuru, Kyle Wamer
Postdoctoral Fellows
Pedro Lopes, Wang Yang
Research Associate
Alberto Nocera

Selected Publications
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).

Research Website