Possible Nematic Spin Liquid in Spin-$1$ Antiferromagnetic System on the Square Lattice: Implication for the Nematic Paramagnetic State of FeSe

Abstract

The exotic normal state of iron chalcogenide superconductor FeSe, which exhibits vanishing magnetic order and possesses an electronic nematic order, triggered extensive explorations of its magnetic ground state. To understand its novel properties, we study the ground state of a highly frustrated spin-$1$ system with bilinear-biquadratic interactions using unbiased large-scale density matrix renormalization group. Remarkably, with increasing biquadratic interactions, we find a paramagnetic phase between Néel and stripe magnetic ordered phases. We identify this phase as a candidate of nematic quantum spin liquid by the compelling evidences, including vanished spin and quadrupolar orders, absence of lattice translational symmetry breaking, and a persistent non-zero lattice nematic order in the thermodynamic limit. The established quantum phase diagram natually explains the observations of enhanced spin fluctuations of FeSe in neutron scattering measurement and the phase transition with increasing pressure. This identified paramagnetic phase provides a new possibility to understand the novel properties of FeSe.

4 pages, 5 figures, with supplemental material

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Cited by in corpus (22)

• Nematicity, magnetism and superconductivity in FeSe
• Quantum coherence and spin nematic to nematic quantum phase transitions in biquadratic spin-1 and -2 XY chains with rhombic single-ion anisotropy
• A ground state study of the spin-1 bilinear-biquadratic Heisenberg model on the triangular lattice using tensor networks
• Gapless quantum spin liquid in a honeycomb $\Gamma$ magnet
• Semi-classical simulation of spin-1 magnets
• Magnetic fluctuations and spin-spirals in single-layer FeSe
• Mechanism for nematic superconductivity in FeSe
• Quantum phase diagram of spin-$1$ $J_1-J_2$ Heisenberg model on the square lattice: an infinite projected entangled-pair state and density matrix renormalization group study
• Coexistence of non-Abelian chiral spin liquid and magnetic order in a spin-1 antiferromagnet
• Nematic Spin Liquid Phase in a Frustrated Spin-1 System on the Square Lattice
• Spin-one bilinear-biquadratic model on a star lattice
• Magnetic and Structural Properties of the Iron Oxychalcogenides La${}_2$O${}_2$Fe${}_2$O$M_2$ ($M$= S, Se)
• Determining the anisotropy and exchange parameters of polycrystalline spin-1 magnets
• Spin-$S$ designer hamiltonians and the square lattice $S=1$ Haldane nematic
• Density Matrix Renormalization Group Study of Nematicity in Two Dimensions: Application to a Spin-$1$ Bilinear-Biquadratic Model on the Square Lattice
• Quantum Transitions of Nematic Phases in a Spin-$1$ Bilinear-Biquadratic Model and Their Implications for FeSe
• Frustrated magnetic interactions in FeSe
• Long-range Ising spins models emerging from frustrated Josephson junctions arrays with topological constraints
• Haldane phases and phase diagrams of the S = 3/2, 1 bilinear-biquadratic Heisenberg model on the orthogonal dimer chain
• Quantum dynamics of frustrated Josephson junction arrays embedded in a transmission line: an effective XX spin chain with long-range interaction
• Phase diagram of the J1-J2 Heisenberg second-order topological quantum magnet
• Refined spin Hamiltonian on the Cairo pentagonal lattice of Bi2Fe4O9