Hydrodynamics of interacting spinons in the magnetized spin- 12 chain with a uniform Dzyaloshinskii-Moriya interaction

Ren Bo Wang, Anna Keselman, Oleg A. Starykh

Research output: Contribution to journalArticlepeer-review

Abstract

We use a hydrodynamic approach to investigate dynamic spin susceptibility of the antiferromagnetic spin-1/2 Heisenberg chain with a uniform Dzyaloshinskii-Moriya (DM) interaction in the presence of an external magnetic field. We find that transverse (with respect to the magnetic field) spin susceptibility harbors two (respectively, three) spin excitation modes when the magnetic field is parallel (respectively, orthogonal) to the DM axis. In all cases, the marginally irrelevant backscattering interaction between the spinons creates a finite energy splitting between optical branches of excitations at k=0. Additionally, for the orthogonal geometry, the two lower spin branches exhibit avoided crossing at finite momentum which is determined by the total magnetic field (the sum of the external and internal molecular fields) acting on spinons. Our approximate analytical calculations compare well with numerical results obtained using matrix-product-state (MPS) techniques. Physical consequences of our findings for the electron spin resonance experiments are discussed in detail.

Original languageEnglish
Article number184429
JournalPhysical Review B (Solid State) (United States)
Volume105
Issue number18
DOIs
StatePublished - 27 May 2022

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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