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arXiv · 1812.05627

Single-hole wave function in two dimensions: A case study of the doped Mott insulator

Shuai Chen·Qing-Rui Wang·Yang Qi·D. N. Sheng·Zheng-Yu Weng
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Abstract

We study a ground-state ansatz for the single-hole doped $t$-$J$ model in two dimensions via a variational Monte Carlo (VMC) method. Such a single-hole wave function possesses finite angular momenta generated by hidden spin currents, which give rise to a novel ground state degeneracy in agreement with recent exact diagonalization (ED) and density matrix renormalization group (DMGR) results. We further show that the wave function can be decomposed into a quasiparticle component and an incoherent momentum distribution in excellent agreement with the DMRG results up to an $8\times 8 $ lattice. Such a two-component structure indicates the breakdown of Landau's one-to-one correspondence principle, and in particular, the quasiparticle spectral weight vanishes by a power law in the large sample-size limit. By contrast, turning off the phase string induced by the hole hopping in the so-called $σ\cdot t\text{-}J$ model, a conventional Bloch-wave wave function with a finite quasiparticle spectral weight can be recovered, also in agreement with the ED and DMRG results. The present study shows that a singular effect already takes place in the single-hole-doped Mott insulator, by which the bare hole is turned into a non-Landau quasiparticle with translational symmetry breaking. Generalizations to pairing and finite doping are briefly discussed.

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Shuai Chen, Qing-Rui Wang, Yang Qi, D. N. Sheng, Zheng-Yu Weng. 2019-07-03. Single-hole wave function in two dimensions: A case study of the doped Mott insulator. https://doi.org/10.1103/physrevb.99.205128

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