论文标题
高度纠缠的试验状态的有效矩阵 - 产品状态制备：三角晶格上的弱莫特绝缘子重新审视
Efficient matrix-product-state preparation of highly entangled trial states: Weak Mott insulators on the triangular lattice revisited
论文作者
论文摘要
使用张量网态以最小的量子型量子旋转液体的物理性，但通用的微观自旋或电子模型仍然具有挑战性。一个著名的公开问题涉及在Mott Metal-Metal-Metulsulstration过渡附近的三角晶格上进行二维半纤维哈伯德型模型的绝缘基态的性质，该制度可以通过Spin-1/2 Heisenberg模型在微观上进行微观近似，并补充了其他“ ring-exechange”互动。 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金属）在四腿和六腿宽的梯子上。我们的方法铺平了与DMRG在沮丧的量子磁性和强烈相关的电子领域中完全解决的其他有争议的问题。
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.
