Professor Gull works in the general area of computational condensed matter physics with a focus on the study of correlated electronic systems in and out of equilibrium. He is an expert on Monte Carlo methods for quantum systems and one of the developers of the diagrammatic ‘continuous-time’ quantum Monte Carlo methods. His recent work includes the study of the Hubbard model using large cluster dynamical mean field methods, the development of vertex function methods for optical (Raman and optical conductivity) probes, and the development of bold line diagrammatic algorithms for quantum impurities out of equilibrium. Professor Gull is involved in the development of open source computer programs for strongly correlated systems.
Continuous-Time Monte Carlo Methods for Quantum Impurity Models, (E. Gull, A. J. Millis, A. I. Lichtenstein, A. N. Rubtsov, M. Troyer, P. Werner), Rev. Mod. Phys. 83, 349 (2011).
Numerically Exact Long Time Behavior of Nonequilibrium Quantum Impurity Models, (E. Gull, D. R. Reichman, A. J. Millis), Phys. Rev. B 84, 085134 (2011).
Thermodynamics of the 3D Hubbard Model on Approach to the Neel Transition,
(S. Fuchs, E. Gull, L. Pollet, E. Burovski, E. Kozik, T. Pruschke, M. Troyer), Phys. Rev. Lett. 106, 030401 (2011).
Momentum Space Anisotropy and Pseudogaps: A Comparative Cluster Dynamical Mean Field Analysis of the Doping-Driven Metal-Insulator Transition in the Two Dimensional Hubbard Model, (E. Gull, M. Ferrero, O. Parcollet, A. Georges, A. J. Millis), Phys. Rev. B 82, 155101 (2010).
Bold Line Diagrammatic Monte Carlo Method: General Formulation and Application to Expansion Around the Non-Crossing Approximation, (E. Gull, D. R. Reichman, A. J. Millis),
Phys. Rev. B 82, 075109 (2010).
Continuous-Time Auxiliary Field Monte Carlo for Quantum Impurity Models, (E. Gull, P. Werner, O. Parcollet, M. Troyer), EPL 82 No 5, 57003 (June 2008).