Shedding Light on Microscopic Details: 2D Spectroscopy of 1D Quantum Ising Magnets

Abstract

The identification of microscopic models describing the low-energy properties of correlated materials has been a central goal of spectroscopic measurements. We demonstrate how 2D non-linear spectroscopy can be used to distinguish effective spin models whose linear responses show similar behavior. Motivated by recent experiments on the quasi-1D Ising magnet CoNb${}_2$O${}_6$, we focus on two proposed models, the ferromagnetic twisted Kitaev chain with bond dependent interactions and the transverse field Ising model. The dynamical spin structure factor probed in linear response displays similar broad spectra for both models from their fermionic domain wall excitations. In sharp contrast, the 2D non-linear spectra of the two models show clear qualitative differences: those of the twisted Kitaev model contain off-diagonal peaks originating from the bond dependent interactions and transitions between different fermion bands absent in the transverse field Ising model. We discuss the different signatures of spin fractionalization in integrable and non-integrable regimes of the models and their connection to experiments.

10 pages, 6 figures

References in corpus (15)

• Real time evolution using the density matrix renormalization group
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Inelastic Light Scattering From Correlated Electrons
• Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
• Duality and domain wall dynamics in a twisted Kitaev chain
• Spectroscopic fingerprints of gapped quantum spin liquids, both conventional and fractonic
• Glide symmetry breaking and Ising criticality in the quasi-1D magnet CoNb${}_2$O${}_6$
• Experimental Observation of Quantum Many-Body Excitations of $E_8$ Symmetry in the Ising Chain Ferromagnet CoNb${}_2$O${}_6$
• "Quasi-particle breakdown" in the quasi-one-dimensional Ising ferromagnet CoNb${}_2$O${}_6$
• Photon echo from lensing of fractional excitations in Tomonaga-Luttinger spin liquid
• Extracting spinon self-energies from two-dimensional coherent spectroscopy
• Nonlinear spectroscopy of bound states in perturbed Ising spin chains
• Two-dimensional coherent spectrum of interacting spinons from matrix-product states
• Spin dynamics of the generalized quantum spin compass chain
• Local dynamics and thermal activation in the transverse-field Ising chain

Cited by in corpus (10)

• Exploring Two-dimensional Coherent Spectroscopy with Exact Diagonalization: Spinons and Confinement in 1D Quantum Magnets
• Photon echo and fractional excitation lensing of $S=1/2$ XY spin chain
• Revealing Quadrupolar Excitations with Non-Linear Spectroscopy
• Two-dimensional coherent spectrum of high-spin models via a quantum computing approach
• Disentangling spin excitation continua in classical and quantum magnets using 2D nonlinear spectroscopy
• Multidimensional coherent spectroscopy of correlated lattice systems
• Extracting Nonlinear Dynamical Response Functions from Time Evolution
• Detection of anyon braiding through pump-probe spectroscopy
• Diagnosing electronic phases of matter using photonic correlation functions
• Signatures of Domain-Wall Confinement in Raman Spectroscopy of Ising Spin Chains