Fermi Surface Restructuring in the Fermi-Hubbard Model
MetadataShow full item record
Publisher:The Ohio State University
Citation:arXiv Preprint: Osborne, Ian, Thereza Paiva, and Nandini Trivedi. "Topological Fermi-surface Reconstruction in the Repulsive Fermi-Hubbard Model." arXiv preprint arXiv:2001.07197v1 (2020). https://arxiv.org/abs/2001.07197v1
Series/Report no.:The Ohio State University. Department of Physics Undergraduate Research Theses; 2020
We take an in depth look into the celebrated Fermi-Hubbard model for strongly interacting fermions, beginning with a two-site exact diagonalization demonstration of the Mott ground state. We continue with measurements of compressibility and susceptibility using Determinantal Quantum Monte Carlo (DQMC) methods on a larger square lattice 6x6 over the parameter space of interaction strength U/t and doping, controlled by the chemical potential, mu/t. We construct the Fermi surface for a 16x16 cluster size using the retarded Green's function and the single particle spectral function (derived from the Green's function using an analytic continuation procedure) and find conclusive evidence of Fermi surface restructuring (FSR) as a result of strong interactions freezing out states from contributing to the Luttinger count, n, at intermediate temperatures, T = t/2. FSR is found for strongly interacting, doped systems for dopings p < 0.2. This phase is dubbed the Luttinger's rule breaking (LB) phase, and we provide a discussion of the consequences of the deviation from Luttinger's theorem. We strongly suggest a topological nature underlying the restructuring of the Fermi surface by eliminating competing ordering in spin or charge channels.
Academic Major: Physics
DOE: No. DE-FG02-07ER46423