Lifshitz Transition in the Two Dimensional Hubbard Model

Abstract

Using large-scale dynamical cluster quantum Monte Carlo simulations, we study the Lifshitz transition of the two dimensional Hubbard model with next-nearest-neighbor hopping ($t^{\prime }$), chemical potential and temperature as control parameters. At $t^{\prime }\le 0$, we identify a line of Lifshitz transition points associated with a change of the Fermi surface topology at zero temperature. In the overdoped region, the Fermi surface is complete and electron-like; across the Lifshitz transition, the Fermi surface becomes hole-like and develops a pseudogap. At (or very close to) the Lifshitz transition points, a van Hove singularity in the density of states crosses the Fermi level. The van Hove singularity occurs at finite doping due to correlation effects, and becomes more singular when $t^{\prime }$ becomes more negative. The resulting temperature dependence on the bare d-wave pairing susceptibility close to the Lifshitz points is significantly different from that found in the traditional van Hove scenarios. Such unambiguous numerical observation of the Lifshitz transition at $t^{\prime }\le 0$ extends our understanding of the quantum critical region in the phase diagram, and shines lights on future investigations of the nature of the quantum critical point in the two dimensional Hubbard model.

9 pages, 8 figures, accepted for publication in Physics Review B

References in corpus (16)

• Electron pockets in the Fermi surface of hole-doped high-Tc superconductors
• Evolution of electronic structure of doped Mott insulators - reconstruction of poles and zeros of Green's function
• 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
• Dual fermion approach to the two-dimensional Hubbard model: Antiferromagnetic fluctuations and Fermi arcs
• On the Reconstructed Fermi Surface in the Underdoped Cuprates
• Doped high-Tc cuprate superconductors elucidated in the light of zeros and poles of electronic Green's function
• High energy kink in the single particle spectra of the two-dimensional Hubbard model
• Antiferromagnetism and the gap of a Mott insulator: Results from analytic continuation of the self-energy
• Two-stage metal-insulator transition in the 2D Hubbard model: momentum selectivity in the 8-site dynamical cluster approximation
• Phase separation in the Hubbard model
• Quantum and Topological Criticalities of Lifshitz Transition in Two-Dimensional Correlated Electron Systems
• Zeeman-driven Lifshitz transition: A scenario for the Fermi-surface reconstruction in YbRh2Si2
• Physics of the Pseudogap in 8-site Cluster Dynamical Mean Field Theory: photoemission, Raman scattering, in-plane and c-axis conductivity
• Metamagnetism and Lifshitz Transitions in Models for Heavy Fermions
• Spectral properties of the three-dimensional Hubbard model
• Quantum Metamagnetic Transitions Induced by Changes in Fermi-Surface Topology -Applications to a Weak Itinerant-Electron Ferromagnet;ZrZn_2