Emergent $D_8^{(1)}$ spectrum and topological soliton excitation in CoNb$_2$O$_6$

Ning Xi; Xiao Wang; Yunjing Gao; Yunfeng Jiang; Rong Yu; Jianda Wu

doi:10.1103/f32m-kkzm

paper

Emergent $D_{8}^{(1)}$ spectrum and topological soliton excitation in CoNb $_{2}$ O $_{6}$

arXiv:2403.10785 · doi:10.1103/f32m-kkzm

Abstract

Quantum integrability emerging near a quantum critical point (QCP) is manifested by exotic excitation spectrum that is organized by the associated algebraic structure. A well known example is the emergent $E_{8}$ integrability near the QCP of a transverse field Ising chain (TFIC), which was long predicted theoretically and initially proposed to be realized in the quasi-one-dimensional (q1D) quantum magnet CoNb $_{2}$ O $_{6}$ . However, later measurements on the spin excitation spectrum of this material revealed a series of satellite peaks that cannot be described by the $E_{8}$ Lie algebra. Motivated by these experimental progresses, we hereby revisit the spin excitations of CoNb $_{2}$ O $_{6}$ by combining numerical calculation and analytical analysis. We show that, as effects of strong interchain fluctuations, the spectrum of the system near the 1D QCP is characterized by the $D_{8}^{(1)}$ Lie algebra with robust topological soliton excitation. We further show that the $D_{8}^{(1)}$ spectrum can be realized in a broad class of interacting quantum systems. Our results advance the exploration of integrability and manipulation of topological excitations in quantum critical systems.

6 pages, 3 figures - Supplementary Material 5 pages

Emergent D8(1)​ spectrum and topological soliton excitation in CoNb2​O6​

Abstract

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Emergent $D_{8}^{(1)}$ spectrum and topological soliton excitation in CoNb $_{2}$ O $_{6}$