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

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• Quantum Critical Points and the Sign Problem
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• Emergent BCS regime of the two-dimensional fermionic Hubbard model: ground-state phase diagram
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• Intermediate Coupling Model of the Cuprates
• Unconventional superconductivity on the triangular lattice Hubbard model
• Tangent Space Approach for Thermal Tensor Network Simulations of the 2D Hubbard Model
• Van Hove singularity and ferromagnetic instability in phosphorene
• Dual parquet scheme for the two-dimensional Hubbard model: modelling low-energy physics of high-$T_c$ cuprates with high momentum resolution
• Revealing Fermionic Quantum Criticality from New Monte Carlo Techniques
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• Competing pairing channels in the doped honeycomb lattice Hubbard model
• Evolution of the Superconductivity Dome in the two dimensional Hubbard Model
• Progress in epitaxial thin-film Na3Bi as a topological electronic material
• Mott correlated states in the underdoped two-dimensional Hubbard model: variational Monte Carlo versus a dynamical cluster approximation
• The overdoped end of the cuprate phase diagram
• Evidence for spin-triplet odd-parity superconductivity close to type-II van Hove singularities
• Magnetic fluctuations and specific heat in NaxCoO2 near a Lifshitz topological transition
• Electronic structure of CaFe2As2
• Fermi arcs and pseudogap in a lattice model of a doped orthogonal metal
• Interaction-driven Lifshitz transition with dipolar fermions in optical lattices
• Evolution of an attractive polarized Fermi gas: From a Fermi liquid of polarons to a non-Fermi liquid at the Fulde-Ferrell-Larkin-Ovchinnikov quantum critical point
• One- and two-particle properties of the weakly interacting two-dimensional Hubbard model in proximity to the van Hove singularity
• Optimal inhomogeneity for pairing in Hubbard systems with next-nearest-neighbor hopping
• Effect of paramagnetic fluctuations on a Fermi surface topological transition in two dimensions
• Realization of a transition between type-I and type-II Dirac semimetals in monolayers
• Direct observation of fragile Mott insulators on plaquette Hubbard lattices
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• Effects of a k-dependent Hybridization on the Fermi Surface of an Extended $d-p$ Hubbard Model
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