Orbital magnetic field effects in spin liquid with spinon Fermi sea: Possible application to $\kappa$-(ET)${}_2$Cu${}_2$(CN)${}_3$

Abstract

We consider orbital magnetic field effects in a spin liquid phase of a half-filled triangular lattice Hubbard system close to the Mott transition, continuing an earlier exploration of a state with spinon Fermi surface. Starting from the Hubbard model and focusing on the insulator side, we derive an effective spin Hamiltonian up to four-spin exchanges in the presence of magnetic field, and find that the magnetic field couples linearly to spin chirality on the triangles. The latter corresponds to a flux of an internal gauge field in a gauge theory description of the spin liquid, and therefore a static such internal flux is induced. A quantitative estimate of the effect is obtained using a spinon mean field analysis, where we find that this orbital field seen by the spinons is comparable to or even larger than the applied field. We further argue that because the stiffness of the emergent internal gauge field is very small, such a spinon-gauge system is strongly susceptible at low temperatures to an instability of the homogeneous state due to strong Landau level quantization for spinons. This instability is reminiscent of the so-called strong magnetic interaction regime in metals with the usual electromagnetic field, but we estimate that the corresponding temperature--magnetic field range is significantly broader in the spinon-gauge system.

Replaced with new version to match PRB; significant rewrite of the intro/discussion; references added; 13 pages, 6 figures

References in corpus (5)

• Variational study of triangular lattice spin-1/2 model with ring exchanges and spin liquid state in κ-(ET)_2 Cu_2 (CN)_3
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Mott Transition from a Spin Liquid to a Fermi Liquid in the Spin-Frustrated Organic Conductor kappa-(ET)2Cu2(CN)3
• Pairing and superconductivity driven by strong quasiparticle renormalization in two-dimensional organic charge transfer salts
• Direct Observation of Condon Domains in Silver by Hall Probes

Cited by in corpus (123)

• Quantum Spin Liquids
• Theory of Thermal Hall Effect in Quantum Magnets
• Rare-earth triangular lattice spin liquid: a single-crystal study of YbMgGaO${}_4$
• Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors
• Are non-Fermi-liquids stable to Cooper pairing?
• Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator
• Exotic phases induced by strong spin-orbit coupling in ordered double perovskites
• $\mu$SR evidence for the U(1) quantum spin liquid ground state in the triangular antiferromagnet YbMgGaO${}_4$
• Crystalline Electric Field Randomness in the Triangular Lattice Spin-Liquid YbMgGaO${}_4$
• Electronic Orbital Currents and Polarization in Mott Insulators
• Excitation spectra of the spin-1/2 triangular-lattice Heisenberg antiferromagnet
• Chiral Spin Liquid and Quantum Criticality in Extended $S=1/2$ Heisenberg Models on the Triangular Lattice
• Fermi surface in the absence of a Fermi liquid in the Kondo insulator SmB${}_6$
• Gapless quantum spin liquid, stripe and antiferromagnetic phases in frustrated Hubbard models in two dimensions
• Global phase diagram and quantum spin liquids in spin-1/2 triangular antiferromagnet
• Projective symmetry group classification of chiral spin liquids
• Weak Mott insulators on the triangular lattice: possibility of a gapless nematic quantum spin liquid
• Mixed-valence insulators with neutral Fermi surfaces
• Emergence of nontrivial magnetic excitations in a spin liquid state of kagome volborthite
• Pressure-Tuned Exchange Coupling of a Quantum Spin Liquid in the Molecular Triangular Lattice $\kappa$-(ET)${}_2$Ag${}_2$(CN)${}_3$
• Gapless chiral spin liquid in a kagome Heisenberg model
• SU(2) gauge theory of the Hubbard model and application to the honeycomb lattice
• Landau Quantization and Highly Mobile Fermions in an Insulator
• Bridging Hubbard Model Physics and Quantum Hall Physics in Trilayer Graphene/h-BN moiré superlattice
• Novel Pauli-paramagnetic quantum phase in a Mott insulator
• Quantum oscillations in insulators with neutral Fermi surfaces
• Chiral Spin Liquids in Arrays of Spin Chains
• Magnetic memory and spontaneous vortices in a van der Waals superconductor
• Fractionalized excitations in the partially magnetized spin liquid candidate YbMgGaO4
• Paired chiral spin liquid with a Fermi surface in S=1 model on the triangular lattice
• Self-consistent slave rotor mean field theory for strongly correlated systems
• Thermal Hall effects in quantum magnets
• Chiral spin liquids in triangular lattice SU(N) fermionic Mott insulators with artificial gauge fields
• Detecting spin fractionalization in a spinon Fermi surface spin liquid
• Gate-tunable heavy fermion quantum criticality in a moiré Kondo lattice
• Spin Liquid versus Spin Orbit Coupling on the Triangular Lattice
• Fermi surfaces in Kondo insulators
• Topological superconductivity in the doped chiral spin liquid on the triangular lattice
• Emergence of Chiral Spin Liquids via Quantum Melting of Non-Coplanar Magnetic Orders
• Unconventional thermal metallic state of charge-neutral fermions in an insulator
• Cluster Mott insulators and two Curie-Weiss regimes on an anisotropic Kagome lattice
• Geometrical frustration in the spin liquid beta'-Me3EtSb[Pd(dmit)2]2 and the valence bond solid Me3EtP[Pd(dmit)2]2
• Phase transitions out of quantum Hall states in moiré materials
• Mechanisms for Sub-Gap Optical Conductivity in Herbertsmithite
• Charge Friedel oscillations in a Mott insulator
• Finite-temperature behavior of a classical spin-orbit-coupled model for ${\text{YbMgGaO}}_4$ with and without bond disorder
• Anomalous Quantum Oscillations in a Heterostructure of Graphene on a Proximate Quantum Spin Liquid
• Geometric aspects of nonlinear and nonequilibrium phenomena
• Gapless Spin Liquids: Stability and Possible Experimental Relevance
• Topological superconductivity in Kondo-Kitaev model
• Competing Chiral Orders in the Topological Haldane-Hubbard Model of Spin-1/2 Fermions and Bosons
• Consideration of Thermal Hall Effect in Undoped Cuprates
• Kondo screening in a charge-insulating spinon metal
• $ab$-$initio$ Approaches for Low-Energy Spin Hamiltonians
• The dynamics of local magnetic moments induced by itinerant Weyl electrons
• Kitaev Quantum Spin Liquids
• Thermal Hall signatures of non-Kitaev spin liquids in honeycomb Kitaev materials
• Chiral Pseudo Spin Liquids in Moire Heterostructures
• Field-Induced Instability of a Gapless Spin Liquid with a Spinon Fermi Surface
• Spin-liquid insulators can be Landau's Fermi liquids
• Imprinting and driving electronic orbital magnetism using magnons
• Unconventional Magnetic Oscillations in Kagome Mott Insulators
• Anyon Superconductivity from Topological Criticality in a Hofstadter-Hubbard Model
• Cyclotron resonance inside the Mott gap: a fingerprint of emergent neutral fermions
• Quantum Oscillation of Thermally Activated Conductivity in a Monolayer WTe${}_2$-like Excitonic Insulator
• Intrinsic bulk quantum oscillations in a bulk unconventional insulator SmB${}_6$
• Quantum field theory of topological spin dynamics
• The universal shear conductivity of Fermi liquids and spinon Fermi surface states and its detection via spin qubit noise magnetometry
• Quantum paramagnet in a $\pi$ flux triangular lattice Hubbard model
• Probing the Quantum Noise of the Spinon Fermi Surface with NV Centers
• $f$-electron hybridised metallic Fermi surface in magnetic field-induced metallic YbB${}_{12}$
• Chiral Topological Orders in an Optical Raman Lattice
• Topological thermal Hall effect for topological excitations in spin liquid: Emergent Lorentz force on the spinons
• Collective spinon spin wave in a magnetized U(1) spin liquid
• Magnetic impurities in Kondo insulators: An application to samarium hexaboride
• Raman scattering in a Heisenberg S=1/2 antiferromagnet on the anisotropic triangular lattice
• Electromagnetic signatures of chiral quantum spin liquid
• Quantum phase diagram and chiral spin liquid in the extended spin-$\frac{1}{2}$ honeycomb XY model
• Emergent orbital magnetization in Kitaev quantum magnets
• Topological thermal Hall effect of "magnetic monopoles" in pyrochlore U(1) spin liquid
• Doping a Mott insulator with excitons in moiré bilayer: fractional superfluid, neutral Fermi surface and Mott transition
• Proposal to detect emergent gauge field and its Meissner effect in spin liquids using NV Centers
• Oscillations of the thermal conductivity observed in the spin-liquid state of $\alpha$-RuCl${}_3$
• Electronic Density of States of a $U\left(1\right)$ Quantum Spin Liquid with Spinon Fermi Surface. I. Orbital Magnetic Field Effects
• A Classical Chiral Spin-Liquid from Chiral Interactions on the Pyrochlore Lattice
• Majorana chiral spin liquid in Mott insulating cuprates
• Evidence for a topological "exciton Fermi sea" in bilayer graphene
• Charge-Neutral Electronic Excitations in Quantum Insulators
• The higher-order magnetic skyrmions in non-uniform magnetic fields
• Orbital Magnetic Field Effects in Mott Insulators with Strong Spin-Orbit Coupling
• Topological nature of Hubbard bands in strongly correlated systems
• Entanglement in a three spin system controlled by electric and magnetic field
• Random free-fermion quantum spin chain with multi-spin interactions
• The magneto-optical Faraday effect in spin liquid candidates
• Interplay of spin-orbit coupling and Zeeman splitting in the absorption lineshape of 2D fermions
• Topological phase transition and nontrivial thermal Hall signatures in honeycomb lattice magnets
• Kondo enabled transmutation between spinons and superconducting vortices: origin of magnetic memory in 4Hb-$\mathrm{Ta}{\mathrm{S}}_2$
• Quantum oscillations in field-induced correlated insulators of a moiré superlattice
• Chiral Wigner crystal phases induced by Berry curvature
• Cavity-Vacuum-Induced Chiral Spin Liquids in Kagome Lattices: Tuning and Probing Topological Quantum Phases via Cavity Quantum Electrodynamics
• Interplay between multi-spin and chiral spin interactions on triangular lattice
• Unveiling chiral states in the XXZ chain: Finite-size scaling probing symmetry-enriched $c=1$ conformal field theories
• Some experimental schemes to identify quantum spin liquids
• Boundary-limited and glassy-like phonon thermal conduction in EtMe${}_3$Sb[Pd(dmit)${}_2$]${}_2$
• Overscreened Kondo fixed point in S=1 spin liquid
• The Detection of Unconventional Quantum Oscillations in Insulating 2D Materials
• Universal excitonic superexchange in spin-orbit-coupled Mott insulators
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Chiral Spin Liquid and Quantum Phase Transition in the Triangular Lattice Hofstadter-Hubbard Model
• Magnetic Flux Tuning of Spin Chirality in Mott Insulators with Ring Exchanges
• Insulating phases of electrons on a zigzag strip in the orbital magnetic field
• Intrinsic Thermal Hall Effect in Mott Insulators
• Gauge flux generations of weakly magnetized Dirac spin liquid in a kagomé lattice
• Exchange Interactions of a Wigner Crystal in a Magnetic Field and Berry Curvature: Multi-Particle Tunneling through Complex Trajectories
• Jordan-Wigner composite-fermion liquids in 2D quantum spin-ice
• Fermionized dual vortex theory for magnetized kagomé spin liquid
• Generation of chiral spin state by quantum simulation
• Real-space chirality from crystalline topological defects in the Kitaev spin liquid
• Dirac node pinning from Dzyaloshinskii-Moriya interactions in a Kagome spin liquid
• Theory of Angle Resolved Photoemission Spectroscopy of Altermagnetic Mott Insulators
• Schwinger-Boson mean-field study of spin-1/2 $J_1$-$J_2$-$J_{\chi }$ model in honeycomb lattice: thermal Hall signature
• SU(4) Kondo Lattice in Semiconductor Moiré Materials
• Multipolar ferroelectricity in the Mott regime