The frustrated spin-1/2J1ββJ2β Heisenberg model on the square lattice
has been extensively studied since 1988 because of its close relationship to
the high-temperature superconductivity in cuprates and more importantly
involved novel phase of matter in its own right, namely, quantum spin liquid
(QSL), one of hot topics in condensed matter physics in recent years. However,
the phase diagram of the model, particularly in the maximally frustrated regime
J2β/J1ββΌ0.5, is quite controversial, and more seriously the nature of
the QSL is not clear at all. Here we provide a pattern picture, on one hand, to
show explicitly how the system evolves from the N\'eel antiferromagnetic (AFM)
state at small J2β to the striped AFM one at large J2β; on the other hand,
to uncover the nature of the QSL if it exists in the intermediate J2β
coupling regime. For simplicity, we show our results by taking the square
lattice L=LxβΓLyβ with size Lxβ=Lyβ=4 here and periodic boundary
condition is considered, and furthermore, exact diagonalization is employed to
confirm the correctness of our picture. Our results indicate that the highly
frustration regime is characterized by diagonal two-domain, while the N\'eel
AFM state has a diagonal single-domain and the striped AFM state shows itself
as a diagonal four-domain, namely, completely diagonal antiferromagnetic order,
in the present case. Increasing the system size, the number of the diagonal
domains increases correspondingly, but the diagonal single-domain for the
N\'eel AFM state and the diagonal Lx(y)β-domain for the striped AFM state
remain unchanged. Our results shed light on the understanding of the QSL.Comment: 6 pages, 4 figure