Electron Spin Resonance in S=1/2 antiferromagnetic chains

Abstract

A systematic field-theory approach to Electron Spin Resonance (ESR) in the $S=1/2$ quantum antiferromagnetic chain at low temperature $T$ (compared to the exchange coupling $J$) is developed. In particular, effects of a transverse staggered field $h$ and an exchange anisotropy (including a dipolar interaction) $\delta$ on the ESR lineshape are discussed. In the lowest order of perturbation theory, the linewidth is given as $\propto J{h}^2/T^2$ and $\propto (\delta /J{)}^{2}T$, respectively. In the case of a transverse staggered field, the perturbative expansion diverges at lower temperature; non-perturbative effects at very low temperature are discussed using exact results on the sine-Gordon field theory. We also compare our field-theory results with the predictions of Kubo-Tomita theory for the high-temperature regime, and discuss the crossover between the two regimes. It is argued that a naive application of the standard Kubo-Tomita theory to the Dzyaloshinskii-Moriya interaction gives an incorrect result. A rigorous and exact identity on the polarization dependence is derived for certain class of anisotropy, and compared with the field-theory results.

53 pages in REVTEX, 7 figures in EPS included; revised version with missing references and corrections

Cited by in corpus (117)

• Dzyaloshinsky-Moriya Anisotropy in the Spin-1/2 Kagomé Compound ZnCu${}_3$(OH)${}_6$Cl${}_2$
• Spin-Orbit mediated spin relaxation in monolayer MoS2
• Quantum quench in the sine-Gordon model
• Superdiffusion in spin chains
• Dynamical structure factor at small q for the XXZ spin-1/2 chain
• Massive Nambu-Goldstone Bosons
• Spin-orbital effects in magnetized quantum wires and spin chains
• Excitation hierarchy of the quantum sine-Gordon spin chain in strong magnetic field
• Modes of magnetic resonance in the spin liquid phase of Cs2CuCl4
• A unified theory of spin-relaxation due to spin-orbit coupling in metals and semiconductors
• Hierarchy of exchange interactions in the triangular-lattice spin-liquid YbMgGaO${}_4$
• Importance of Spin-Orbit Coupling in Organic BEDT-TTF and BEDT-TSF Salts
• Dynamical structure factor of the anisotropic Heisenberg chain in a transverse field
• Strong coupling of microwave photons to antiferromagnetic fluctuations in an organic magnet
• Algorithm for Linear Response Functions at Finite Temperatures: Application to ESR spectrum of s=1/2 Antiferromagnet Cu benzoate
• The Luttinger liquid and integrable models
• Thermal conductivity of quasi-one-dimensional antiferromagnetic spin-chain materials
• Scaling of electrical and thermal conductivities in an almost integrable chain
• Quantum spin liquids in the absence of spin-rotation symmetry: application to Herbertsmithite
• Field-Induced Spin Excitations in the Spin-1/2 Triangular-Lattice Antiferromagnet CsYbSe${}_2$
• Complete field-induced spectral response of the spin-1/2 triangular-lattice antiferromagnet CsYbSe${}_2$
• Electron Spin Resonance in sine-Gordon spin chains in the perturbative spinon regime
• Electron spin resonance signal of Luttinger liquids and single-wall carbon nanotubes
• Linear and Nonlinear Optical Responses in Kitaev Spin Liquids
• Coupled $S=1/2$ Heisenberg antiferromagnetic chains in an effective staggered field
• Thermal transport in antiferromagnetic spin-chain materials
• Electron spin resonance in S=1/2 antiferromagnets at high temperature
• Transverse spectral functions and Dzyaloshinskii-Moriya interactions in XXZ spin chains
• Evidence for a magnetic field-induced unconventional nematic state in the frustrated and anisotropic spin-chain cuprate LiCuSbO${}_4$
• Dynamical signatures of quasiparticle interactions in quantum spin chains
• Spin dynamics in the low-dimensional magnet TiOCl
• Symmetric and antisymmetric exchange anisotropies in quasi-one-dimensional CuSe${}_2$O${}_5$ as revealed by ESR
• Quasi-one-dimensional antiferromagnetism and multiferroicity in CuCrO${}_4$
• Quench dynamics of one-dimensional bosons in a commensurate periodic potential: A quantum kinetic equation approach
• Dynamical Dzyaloshinsky-Moriya Interaction in KCuF3
• Spin-charge coupling in quantum wires at zero magnetic field
• Superdiffusive transport of energy in one-dimensional metals
• Exact Analysis of ESR Shift in the Spin-1/2 Heisenberg Antiferromagnetic Chain
• Photon echo from lensing of fractional excitations in Tomonaga-Luttinger spin liquid
• Thermal transport in $T\bar{T}$-deformed conformal field theories: from integrability to holography
• Spin-Triplet Excitons in the $S=1/2$ Gapped Antiferromagnet BaCuSi${}_2$O${}_6$: Electron Paramagnetic Resonance Studies
• ESR study of the spin ladder with uniform Dzyaloshinskii-Moria interaction
• Magnetic order and low-energy excitations in the quasi-one-dimensional antiferromagnet CuSe${}_2$O${}_5$ with staggered fields
• Spinon magnetic resonance of quantum spin liquids
• Comparison among Various Expressions of Complex Admittance for Quantum System in Contact with Heat Reservoir
• Electron spin resonance in a model S=1/2 chain antiferromagnet with a uniform Dzyaloshinskii--Moriya interaction
• Electron Spin Resonance in Quasi-One-Dimensional Quantum Antiferromagnets: Relevance of Weak Interchain Interactions
• Electron spin resonance in the $S$=1/2 quasi-one-dimensional antiferromagnet with Dzyaloshinskii-Moriya interaction BaCu$\_2$Ge$\_2$O$\_7$
• Site-selective quantum correlations revealed by magnetic anisotropy in the tetramer system SeCuO3
• Heat Transport in Spin Chains with Weak Spin-Phonon Coupling
• ESR modes in a Strong-Leg Ladder in the Tomonaga-Luttinger Liquid Phase
• Ising phases of Heisenberg ladders in a magnetic field
• Generalized Elliott-Yafet theory of electron spin relaxation in metals: the origin of the anomalous electron spin life-time in MgB2
• The absence of intraband scattering in a consistent theory of Gilbert damping in metallic ferromagnets
• Honeycomb rare-earth magnets with anisotropic exchange interactions
• Theory of electron spin resonance in one-dimensional topological insulators with spin-orbit couplings
• Quantum criticality in the coupled two-leg spin ladder Ba2CuTeO6
• Collective spinon spin wave in a magnetized U(1) spin liquid
• Spin dynamics in S = 1/2 antiferromagnetic chain compounds delta-(EDT-TTF-CONMe_2)_2X (X=AsF_6, Br): a multi-frequency Electron Spin Resonance study
• Angular dependence of electron spin resonance for detecting quadrupolar liquid state of frustrated spin chains
• Topological transition between competing orders in quantum spin chains
• Electron spin resonance shift in spin ladder compounds
• Charge density wave and finite-temperature transport in minimally twisted bilayer graphene
• Electron spin resonance for the detection of long-range spin nematic order
• Dynamical properties of the sine-Gordon quantum spin magnet Cu-PM at zero and finite temperature
• Unconventional anisotropic superexchange in NaV2O5
• Dynamical Correlations of the Spin-1/2 Heisenberg XXZ Chain in a Staggered Field
• High-field magnetic resonance of spinons and magnons in a triangular lattice S=1/2 antiferromagnet Cs2CuCl4
• Effective S=1/2 description of the S=1 chain with strong easy plane anisotropy
• Magnetization and specific heat of the dimer system CuTe2O5
• On the absorption of microwaves by the one-dimensional spin-1/2 Heisenberg-Ising magnet
• Decay of plasmonic waves in Josephson junction chains
• Microscopic theory of spin Seebeck effect in antiferromagnets
• Theory of the inverse Faraday effect in dissipative Rashba electron systems: Floquet engineering perspective
• Electron spin dynamics in strongly correlated metals
• Spin Dynamics in $S=1/2$ Chains with Next-Nearest-Neighbor Exchange Interactions
• Anisotropic Exchange in $\mathbf{LiC}{\mathbf{u}}_2{\mathbf{O}}_2$
• Spin-orbit coupling and electron spin resonance for interacting electrons in carbon nanotubes
• Spin gap in a quasi-1D S=1/2 antiferromagnet K2CuSO4Cl2
• Two-photon driven magnon-pair resonance as a signature of spin-nematic order
• Gapped Goldstones at the cut-off scale: a non-relativistic EFT
• Low-energy properties of anisotropic two-dimensional spin-1/2 Heisenberg models in staggered magnetic fields
• Direct perturbation theory on the shift of Electron Spin Resonance
• On the theory of microwave absorption by the spin-1/2 Heisenberg-Ising magnet
• Coupled frustrated ferromagnetic and antiferromagnetic quantum spin chains in the quasi-one-dimensional mineral antlerite, Cu${}_3$SO${}_4$(OH)${}_4$
• Charge Order Breaks Magnetic Symmetry in Molecular Quantum Spin Chains
• Control of superexchange interactions with DC electric fields
• Electron Spin Resonance in a Spin-1/2 Heisenberg Strong-rung Ladder
• A semi-classical approach to electron spin resonance in quantum spin systems
• Temperature- and Size-dependence of Line shape of ESR spectra of XXZ antiferromagnetic chain
• Computation of ESR spectra from the time evolution of the magnetization: comparison of autocorrelation and Wiener-Khinchin-relation based methods
• Effective spin-wave action for ordered Heisenberg antiferromagnets in a magnetic field
• Electron spin resonance in a dilute magnon gas as a probe of magnon scattering resonances
• Interplay of spin-orbit coupling and Zeeman splitting in the absorption lineshape of 2D fermions
• Larmor precession in strongly correlated itinerant electron systems
• Numerical study on ESR by making use of Wiener-Khinchin relation in time domain
• Exchange integrals and magnetization distribution in BaCu2X2O7 (X=Ge,Si)
• Hydrodynamics of interacting spinons in the magnetized spin-$1/2$ chain with the uniform Dzyaloshinskii-Moriya interaction
• Anisotropy-induced soliton excitation in magnetized strong-rung spin ladders
• Magnetization oscillations in a periodically driven transverse field Ising chain
• The quantum-mechanical basis of an extended Landau-Lifshitz-Gilbert equation for a current-carrying ferromagnetic wire
• Anisotropic magnetic interactions and spin dynamics in the spin-chain compound Cu(py)${}_2$Br${}_2$: An experimental and theoretical study
• Field-induced dimer orders in quantum spin chains
• Dynamic structure factors of the spin-1/2 XX chain with Dzyaloshinskii-Moriya interaction
• Spin dynamics and 1/3 magnetization plateau in a coupled distorted diamond chain compound K2Cu3(MoO4)4
• Spin Correlations in Quantum Wires
• Synergetic effect of spin-orbit coupling and Zeeman splitting on the optical conductivity in the one-dimensional Hubbard model
• Spin-orbit coupling in quasi-one-dimensional Wigner crystals
• Frequency-Temperature Crossover in the Conductivity of Disordered Luttinger Liquids
• Magnetic resonance of collective paramagnets with gapped excitations spectrum
• Electron spin resonance study of spin relaxation in the strong-leg spin ladder with nonmagnetic dilution
• Two-stage evolution of magnetic correlations in spiral spin liquid material, Ca${}_{10}$Cr${}_7$O${}_{28}$
• Exciton Condensation in Landau Levels of Quantum Spin Hall Insulators
• Properties of an organic model $S=1$ Haldane chain system
• Spin pumping into quantum spin chains
• Electron spin resonance shifts in S=1 antiferromagnetic chains
• Universal collective Larmor-Silin mode emerging in magnetized correlated Dirac fermions