Efficient matrix-product-state preparation of highly entangled trial states: Weak Mott insulators on the triangular lattice revisited

• URL: http://arxiv.org/abs/2009.12435v2
• Date: Tue, 20 Oct 2020 21:41:03 GMT
• Title: Efficient matrix-product-state preparation of highly entangled trial states: Weak Mott insulators on the triangular lattice revisited
• Authors: Amir M Aghaei, Bela Bauer, Kirill Shtengel, Ryan V. Mishmash
• Abstract summary: We show that the simplest triangular lattice $J$-$K$ spin model with four-site ring exchange likely does not harbor a fully gapless U(1) spinon Fermi surface. Our methodology paves the way to fully resolve other controversial problems in the fields of frustrated quantum magnetism and strongly correlated electrons.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Using tensor network states to unravel the physics of quantum spin liquids in minimal, yet generic microscopic spin or electronic models remains notoriously challenging. A prominent open question concerns the nature of the insulating ground state of two-dimensional half-filled Hubbard-type models on the triangular lattice in the vicinity of the Mott metal-insulator transition, a regime which can be approximated microscopically by a spin-1/2 Heisenberg model supplemented with additional "ring-exchange" interactions. Using a novel and efficient state preparation technique whereby we initialize full density matrix renormalization group (DMRG) calculations with highly entangled Gutzwiller-projected Fermi surface trial wave functions, we show -- contrary to previous works -- that the simplest triangular lattice $J$-$K$ spin model with four-site ring exchange likely does not harbor a fully gapless U(1) spinon Fermi surface (spin Bose metal) phase on four- and six-leg wide ladders. Our methodology paves the way to fully resolve with DMRG other controversial problems in the fields of frustrated quantum magnetism and strongly correlated electrons.

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