NMR in an electric field: A bulk probe of the hidden spin and orbital polarizations

Abstract

Recent theoretical work has established the presence of hidden spin and orbital textures in non-magnetic materials with inversion symmetry. Here, we propose that these textures can be detected by nuclear magnetic resonance (NMR) measurements carried out in the presence of an electric field. In crystals with hidden polarizations, a uniform electric field produces a staggered magnetic field that points to opposite directions at atomic sites related by spatial inversion. As a result, the NMR resonance peak corresponding to inversion partner nuclei is split into two peaks. The magnitude of the splitting is proportional to the electric field and depends on the orientation of the electric field with respect to the crystallographic axes and the external magnetic field. As a case study, we present a theory of electric-field-induced splitting of NMR peaks for ${}^{77}$Se, ${}^{125}$Te and ${}^{209}$Bi in Bi${}_2$Se${}_3$ and Bi${}_2$Te${}_3$. In conducting samples with current densities of $\simeq 10^6{A/cm}^2$, the splitting for Bi can reach $100\mathrm{kHz}$, which is comparable to or larger than the intrinsic width of the NMR lines. In order to observe the effect experimentally, the peak splitting must also exceed the linewidth produced by the Oersted field. In Bi${}_2$Se${}_3$, this requires narrow wires of radius $\lesssim 1\mu \mathrm{m}$. We also discuss other potentially more promising candidate materials, such as SrRuO${}_3$ and BaIr${}_2$Ge${}_2$, whose crystal symmetry enables strategies to suppress the linewidth produced by the Oersted field.

arXiv comment13 pages, 8 figures

References in corpus (37)

• Antiferromagnetic spintronics
• New Perspectives for Rashba Spin-Orbit Coupling
• Spin Transfer Torques
• Superconductivity in CuxBi2Se3 and its implications for pairing in the undoped topological insulator
• Coherent control of a single electron spin with electric fields
• p-type Bi2Se3 for topological insulator and low temperature thermoelectric applications
• Electrically driven single electron spin resonance in a slanting Zeeman field
• Hidden spin polarization in inversion-symmetric bulk crystals
• The monoclinic crystal structure of $\alpha$-RuCl${}_3$ and the zigzag antiferromagnetic ground state
• Crystal and Magnetic Structures in Layered, Transition Metal Dihalides and Trihalides
• Strong surface scattering in ultrahigh mobility Bi2Se3 topological insulator crystals
• A new type of Weyl semimetal with quadratic double Weyl fermions in SrSi2
• Quantum interference in macroscopic crystals of non-metallic Bi${}_2$Se${}_3$
• Direct observation of spin-polarised bulk bands in an inversion-symmetric semiconductor
• Evidence for a Field-induced Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Weyl Node and Spin Texture in Trigonal Tellurium and Selenium
• Hyperfine-mediated gate-driven electron spin resonance
• Structural, electronic and magnetic properties of SrRuO${}_3$ under epitaxial strain
• Spin-orbit torques in locally and globally non-centrosymmetric crystals: Antiferromagnets and ferromagnets
• Tailoring Magnetic Doping in the Topological Insulator Bi2Se3
• Influence of a Transport Current on Magnetic Anisotropy in Gyrotropic Ferromagnets
• Selective probing of hidden spin-polarized states in inversion-symmetric bulk MoS2
• Non-Adiabatic Spin Transfer Torque in Real Materials
• Intraband and interband spin-orbit torques in non-centrosymmetric ferromagnets
• Crystal structure and high-field magnetism of La2CuO4
• Search and design of nonmagnetic centrosymmetric layered crystals with large local spin polarization
• Catalyst-Free Growth of Millimeter-Long Topological Insulator Bi2Se3 Nanoribbons and the Observation of pi Berry Phase
• NMR Probe of Metallic States in Nanoscale Topological Insulators
• Understanding Bulk Defects in Topological Insulators from Nuclear-Spin Interactions
• Hidden orbital polarization in diamond, silicon, germanium, gallium arsenide and layered materials
• Nuclear magnetic resonance as a probe of electronic states of Bi2Se3
• Hyperfine coupling and spin polarization in the bulk of the topological insulator Bi${}_2$Se${}_3$
• ${}^{77}$Se nuclear magnetic resonance of topological insulator Bi${}_2$Se${}_3$
• Tight-binding theory of NMR shifts in topological insulators Bi2Se3 and Bi2Te3
• Nanoscale $\beta$-Nuclear Magnetic Resonance Depth Imaging of Topological Insulators
• Anomalous nuclear magnetic resonance spectra in Bi${}_2$Se${}_3$ nanowires
• Temperature dependence of spin-orbit torque effective fields in the diluted magnetic semiconductor (Ga,Mn)As

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