Magnetic Incommensurability in Doped Mott Insulator

TL;DR

This paper demonstrates that incommensurate spin correlations in doped Mott insulators arise from the phase string effect, aligning with experimental neutron-scattering data and providing a unified explanation for magnetic properties in cuprates.

Contribution

It reveals the fundamental role of the phase string effect in causing magnetic incommensurability in doped Mott insulators within the $t-J$ model, linking theory with experiments.

Findings

Incommensurate peaks match neutron-scattering data in cuprates.

Phase string effect explains magnetic incommensurability.

Results unify neutron and NMR experimental observations.

Abstract

In this paper we explore the incommensurate spatial modulation of spin-spin correlations as the intrinsic property of the doped Mott insulator, described by the $t-J$ model. We show that such an incommensurability is a direct manifestation of the phase string effect introduced by doped holes in both one- and two-dimensional cases. The magnetic incommensurate peaks of dynamic spin susceptibility in momentum space are in agreement with the neutron-scattering measurement of cuprate superconductors in both position and doping dependence. In particular, this incommensurate structure can naturally reconcile the neutron-scattering and NMR experiments of cuprates.