Interaction induced Fermi-surface renormalization in the $t_1-t_2$ Hubbard model close to the Mott-Hubbard transition

Abstract

We investigate the nature of the interaction-driven Mott-Hubbard transition of the half-filled $t_1-t_2$ Hubbard model in one dimension, using a full-fledged variational Monte Carlo approach including a distance-dependent Jastrow factor and backflow correlations. We present data for the evolution of the magnetic properties across the Mott-Hubbard transition and on the commensurate to incommensurate transition in the insulating state. Analyzing renormalized excitation spectra, we find that the Fermi surface renormalizes to perfect nesting right at the Mott-Hubbard transition in the insulating state, with a first-order reorganization when crossing into the conducting state.

6 pages and 7 figures

References in corpus (11)

• Theory of ultracold Fermi gases
• Role of backflow correlations for the non-magnetic phase of the t-t' Hubbard model
• Fermi Surface Reconstruction without Breakdown of Kondo Screening at Quantum Critical Point
• Spin-liquid and magnetic phases in the anisotropic triangular lattice: the case of $\kappa$-(ET)${}_2$X
• Breakup of the Fermi surface near the Mott transition in low-dimensional systems
• Determining the underlying Fermi surface of strongly correlated superconductors
• Luttinger sum rule for finite systems of correlated electrons
• Fermi-Surface Reconstruction in the Periodic Anderson Model
• Two-band electronic metal and neighboring spin liquid (spin Bose-metal) on a zigzag strip with longer-ranged repulsion
• Breakdown of the Luttinger sum-rule at the Mott-Hubbard transition in the one-dimensional t1-t2 Hubbard model
• Breakdown of the Luttinger sum rule within the Mott-Hubbard insulator

Cited by in corpus (6)

• Backflow Transformations via Neural Networks for Quantum Many-Body Wave-Functions
• Backflow correlations in the Hubbard model: an efficient tool for the metal-insulator transition and the large-U limit
• A continuous Mott transition between a metal and a quantum spin liquid
• Strong renormalization of the Fermi-surface topology close to the Mott transition
• Simulating the Fermi-Hubbard model with long-range hopping on a quantum computer
• Ferromagnetism and doublon localization in a Wannier-Hubbard chain