Fermi Arcs From Dynamical Variational Monte Carlo

Abstract

Variational Monte Carlo is a many-body numerical method that scales well with system size. It has been extended to study the Green function only recently by Charlebois and Imada (2020). Here we generalize the approach to systems with open boundary conditions in the absence of translational invariance. Removing these constraints permits the application of embedding techniques like Cluster perturbation theory (CPT). This allows us to solve an enduring problem in the physics of the pseudogap in cuprate high-temperature superconductors, namely the existence or absence of Fermi arcs in the one-band Hubbard model. We study the behavior of the Fermi surface and of the density of states as a function of hole doping for clusters of up to 64 sites, well beyond the reach of modern exact diagonalization solvers. We observe that the technique reliably captures the transition from a Mott insulator at half filling to a pseudogap, evidenced by the formation of Fermi arcs, and finally to a metallic state at large doping. The ability to treat large clusters with quantum cluster methods helps to minimize potential finite size effects and enables the study of systems with long range orders, which will help extend the reach of these already powerful methods and provide important insights on the nature of various strongly correlated many-electron systems, including the high-T${}_c$ cuprate superconductors.

13 pages, 8 figures

References in corpus (22)

• Continuous-time Monte Carlo methods for quantum impurity models
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Electron pockets in the Fermi surface of hole-doped high-Tc superconductors
• Quantum Oscillations in the Underdoped Cuprate YBa2Cu4O8
• Shubnikov-de Haas oscillations in YBa_2Cu_4O_8
• Fractional excitations in the square-lattice quantum antiferromagnet
• Variational Quantum Monte Carlo Method with a Neural-Network Ansatz for Open Quantum Systems
• 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
• de Haas-van Alphen oscillations in the underdoped cuprate YBa${}_2$Cu${}_3$O${}_{6.5}$
• Variational Monte Carlo Method Combined with Quantum-Number Projection and Multi-Variable Optimization
• The Origin and Non-quasiparticle Nature of Fermi Arcs in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Variational cluster approach to the Hubbard model: Phase-separation tendency and finite-size effects
• Learning Feynman Diagrams with Tensor Trains
• Mott-Hubbard transition in V2O3 revisited
• Quantum oscillations from nodal bilayer magnetic breakdown in the underdoped high temperature superconductor YBa2Cu3O6+x
• Charge ordering in superconducting copper oxides
• Fermi surface reconstruction and drop of Hall number due to spiral antiferromagnetism in high-$T_c$ cuprates
• Observation of small Fermi pockets protected by clean CuO2 sheets of a high-Tc superconductor
• Theory of projections with non-orthogonal basis sets: Partitioning techniques and effective Hamiltonians
• Two-mode variational Monte Carlo study of Quasiparticle excitations in cuprates
• Fermi arcs and pseudogap phase in a minimal microscopic model of $d$-wave superconductivity
• Competition between spin ordering and superconductivity near the pseudogap boundary in La2-xSrxCuO4: insights from NMR

Cited by in corpus (8)

• Altermagnetism on the Shastry-Sutherland lattice
• Mott transition, Widom line and pseudogap in the half-filled triangular lattice Hubbard model
• Mott transition and pseudogap of the square-lattice Hubbard model: results from center-focused cellular dynamical mean-field theory
• One- and two-particle correlation functions in the cluster perturbation theory for cuprates
• Perturbative solution of fermionic sign problem in lattice Quantum Monte Carlo
• Dynamical Variational Monte Carlo as a quantum impurity solver: Application to Cluster Dynamical Mean-Field Theory
• Probing the pseudogap and beyond: Examining single-particle properties of the hole- and electron-doped Hubbard model
• An occupation number quantum subspace expansion approach to compute the single-particle Green function: an opportunity for noise filtering