Properties and Detection of Spin Nematic Order in Strongly Correlated Electron Systems

Abstract

A spin nematic is a state which breaks spin SU(2) symmetry while preserving translational and time reversal symmetries. Spin nematic order can arise naturally from charge fluctuations of a spin stripe state. Focusing on the possible existence of such a state in strongly correlated electron systems, we build a nematic wave function starting from a t-J type model. The nematic is a spin-two operator, and therefore does not couple directly to neutrons. However, we show that neutron scattering and Knight shift experiments can detect the spin anisotropy of electrons moving in a nematic background. We find the mean field phase diagram for the nematic taking into account spin-orbit effects.

arXiv comment13 pages, 11 figures. (v2) References added

References in corpus (21)

• How to detect fluctuating order in the high-temperature superconductors
• Hidden Order in the Cuprates
• A Four-Unit-Cell Periodic Pattern of Quasiparticle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+d
• Z_2 Gauge Theory of Electron Fractionalization in Strongly Correlated Systems
• Stripe phases in high-temperature superconductors
• Order and quantum phase transitions in the cuprate superconductors
• Universality and Critical Behavior at the Mott transition
• Periodic Density of States Modulations in Superconducting $\mathrm{B}{\mathrm{i}}_2\mathrm{S}{\mathrm{r}}_2\mathrm{CaC}{\mathrm{u}}_2{\mathrm{O}}_{8+\delta }$
• Density Wave States of Non-Zero Angular Momentum
• Static magnetic correlations near the insulating-superconducting phase boundary in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Hidden Orbital Order in $UR{u}_{2}S{i}_2$
• Landau Theory of Stripe Phases in Cuprates and Nickelates
• Plaquette Boson-Fermion Model of Cuprates
• Projected SO(5) Models
• Fractionalized Phase in an XY-Z_2 Gauge Model
• Understanding correlated electron systems by a classification of Mott insulators
• Fractionalization patterns in strongly correlated electron systems: Spin-charge separation and beyond
• SO(4) Theory of Competition between Triplet Superconductivity and Antiferromagnetism in Bechgaard Salts
• Definition of Magnetic Monopole Numbers for SU(N) Lattice Gauge-Higgs Models
• Stripe fractionalization II: the quantum spin nematic and the Abrikosov lattice
• Perturbation Calculation of the Axial Anomaly of a Ginsparg-Wilson lattice Dirac operator

Cited by in corpus (37)

• Colloquium: Hidden Order, Superconductivity, and Magnetism -- The Unsolved Case of URu2Si2
• Fermi liquid instabilities in the spin channel
• Higgs mode and its decay in a two dimensional antiferromagnet
• Dual gauge field theory of quantum liquid crystals in two dimensions
• How does a synthetic non-Abelian gauge field influence the bound states of two spin-$\half$ fermions?
• Variational Study of Fermionic and Bosonic Systems with Non-Gaussian States: Theory and Applications
• Possible ferro-spin nematic order in NiGa2S4
• Dual gauge field theory of quantum liquid crystals in three dimensions
• Unveiling Hidden Orders: Magnetostriction as a Probe of Multipolar-Ordered States
• Intertwined nematic orders in a frustrated ferromagnet
• Realistic scheme for quantum simulation of ${\mathbb{Z}}_2$ lattice gauge theories with dynamical matter in $(2+1)$D
• Spin nematic order in antiferromagnetic spinor condensates
• Quantum coherence and spin nematic to nematic quantum phase transitions in biquadratic spin-1 and -2 XY chains with rhombic single-ion anisotropy
• Resonant inelastic x-ray scattering operators for $t_{2g}$ orbital systems
• Spin-quadrupole ordering of spin-3/2 ultracold fermionic atoms in optical lattices in the one-band Hubbard model
• Generalized liquid crystals: giant fluctuations and the vestigial chiral order of $I$, $O$ and $T$ matter
• Effects of two-loop contributions in the pseudofermion functional renormalization group method for quantum spin systems
• Emergent generalized symmetries in ordered phases and applications to quantum disordering
• Classification of nematic order in 2+1D: Dislocation melting and $O(2)/Z_N$ lattice gauge theory
• Classification of point-group-symmetric orientational ordering tensors
• Rashba spin-orbit coupling, strong interactions, and the BCS-BEC crossover in the ground state of the two-dimensional Fermi Gas
• Spin-Nematic Vortex States in Cold Atoms
• Coupling ultracold matter to dynamical gauge fields in optical lattices: From flux-attachment to Z2 lattice gauge theories
• Hierarchy of orientational phases and axial anisotropies in the gauge theoretical description of generalized nematics
• Landau theory of helical Fermi liquids
• Symmetry breaking in low-dimensional SU(N) antiferromagnets
• Theory of spin nematic to spin-Peierls quantum phase transition in ultracold spin-1 atoms in optical lattices
• Generic first-order phase transitions between isotropic and orientational phases with polyhedral symmetries
• Reentrant multiple-$\mathbf{q}$ magnetic order and a "spin-cholesteric" phase in Sr${}_3$Fe${}_2$O${}_7$
• Magnetic and nematic phases in a Weyl type spin-orbit-coupled spin-1 Bose gas
• Large magnetic thermal conductivity induced by frustration in low-dimensional quantum magnets
• Emergent Quadrupolar Order in the Spin-$1/2$ Kitaev-Heisenberg Model
• Frustration and chirality in three-dimensional trillium lattices: Insights and Perspectives
• Scalar gauge-Higgs models with discrete Abelian symmetry groups
• Phononic enhancement and detection of hidden spin-nematicity and dynamics in quantum magnets
• Separation of quadrupole, spin, and charge across the magnetic phases of a one-dimensional interacting spin-1 gas
• Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions