Intertwined nematic orders in a frustrated ferromagnet

Abstract

We investigate the quantum phases of the frustrated spin-$\frac{1}{2}$ $J_1$-$J_2$-$J_3$ Heisenberg model on the square lattice with ferromagnetic $J_1$ and antiferromagnetic $J_2$ and $J_3$ interactions. Using the pseudo-fermion functional renormalization group technique, we find an intermediate paramagnetic phase located between classically ordered ferromagnetic, stripy antiferromagnetic, and incommensurate spiral phases. We observe that quantum fluctuations lead to significant shifts of the spiral pitch angles compared to the classical limit. By computing the response of the system with respect to various spin rotation and lattice symmetry-breaking perturbations, we identify a complex interplay between different nematic spin states in the paramagnetic phase. While retaining time-reversal invariance, these phases either break spin-rotation symmetry, lattice-rotation symmetry, or a combination of both. We therefore propose the $J_1$-$J_2$-$J_3$ Heisenberg model on the square lattice as a paradigmatic example where different intimately connected types of nematic orders emerge in the same model.

Published version. 8 pages, 5 figures

References in corpus (6)

• Plaquette valence bond solid in the frustrated Heisenberg quantum antiferromagnet on the square lattice
• Physical realization of a quantum spin liquid based on a novel frustration mechanism
• Finite temperature properties and frustrated ferromagnetism in a square lattice Heisenberg model
• Spiral order in the honeycomb iridate Li2IrO3
• Paired chiral spin liquid with a Fermi surface in S=1 model on the triangular lattice
• Nematic and supernematic phases in Kagome quantum antiferromagnets under a magnetic field

Cited by in corpus (7)

• Frustrated two dimensional quantum magnets
• Competing magnetic orders and spin liquids in two- and three-dimensional kagome systems: A pseudo-fermion functional renormalization group perspective
• Functional-renormalization-group analysis of Dzyaloshinsky-Moriya and Heisenberg spin interactions on the kagome lattice
• Quantum paramagnetism and helimagnetic orders in the Heisenberg model on the body centered cubic lattice
• Projective symmetry group classifications of quantum spin liquids on the simple cubic, body centered cubic, and face centered cubic lattices
• Highly dispersive magnons with spin-gap like features in the frustrated ferromagnetic S=1/2 chain compound Ca2Y2Cu5O10 detected by inelastic neutron scattering
• Spontaneous dimerization and moment formation in the Hida model of spin-1 kagomé antiferromagnet