Pseudogap to metal transition in the anisotropic two-dimensional Hubbard model

Abstract

The transition between a metallic and a pseudogap phase in high-$T_c$ cuprate superconductors is the subject of experimental investigations but has not been settled theoretically, even within the context of the Hubbard model. We apply the Cluster Dynamical Impurity Approximation (CDIA) to the anisotropic Hubbard model on the square lattice at zero temperature and finite doping. This approach can detect a first-order transition between two metallic states: a pseudogap state at low doping, with a depleted density of states at the Fermi level, and a correlated metal at higher doping. This transition was first seen in Cluster dynamical mean field theory at finite temperature by Sordi et al on the isotropic Hubbard model. Here we investigate this transition at zero temperature and a as function of on-site interaction $U$, anisotropy $t_y/t_x$ and doping. We find a first-order transition line which ends at a quantum critical point, which occurs around $t_y/t_x\sim 0.5$.

5 pages. Supplemental material (PDF) available

References in corpus (9)

• A Phenomenological Theory of The Pseudogap State
• 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
• First order Mott transition at zero temperature in two dimensions: Variational plaquette study
• Phase separation in the Hubbard model
• Fermi surface reconstruction and drop of Hall number due to spiral antiferromagnetism in high-$T_c$ cuprates
• Bath optimization in the Cellular Dynamical Mean Field Theory
• Fractionalized Fermi liquid with bosonic chargons as a candidate for the pseudogap metal
• Phenomenological theories of the low-temperature pseudogap: Hall number, specific heat and Seebeck coefficient
• Dimensional-crossover-driven Mott transition in the frustrated Hubbard model

Cited by in corpus (4)

• Pyqcm: An open-source Python library for quantum cluster methods
• Doping the Mott insulating state of the triangular-lattice Hubbard model reveals the Sordi transition
• Local moments versus itinerant antiferromagnetism: magnetic phase diagram and spectral properties of the anisotropic square lattice Hubbard model
• Fermi arcs vs hole pockets: periodization of a cellular two-band model