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Quasiparticle Interactions in the $S = 1/2$ Heisenberg Antiferromagnetic Chain CuPzN

Year: 2026
Type: preprint
Abstract: We investigate spinon--spinon interactions in the quasi-one-dimensional $S=1/2$ Heisenberg antiferromagnet Cu(C$_4$H$_4$N$_2$)(NO$_3$)$_2$ (CuPzN) using inelastic neutron scattering. At zero field, the spectrum exhibits the canonical multi-spinon continuum of the Heisenberg chain. With increasing field we demonstrate the appearance of an energy gap $2Δ$ towards momentum $q\rightarrow 0$ between the uniform magnetization precession mode and the shifted spinon continuum. $2Δ$ is a direct measure of spinon backscattering interactions. Comparison with numerical matrix-product-state calculations and a recent analytical theory shows excellent agreement. By examining the integrable spin-1/2 chain, we provide an example of how quasiparticle interactions can be quantified experimentally in isotropic quantum spin systems.
DOI: 10.48550/arxiv.2610.34536
Authors: Zhao, Leshan, Reeder, Timothy, Stone, Matthew, Mazzone, Daniel G., Lass, Jakob, Niedermayer, Christof, Reich, Daniel H., Keselman, Anna, Starykh, Oleg A., Broholm, Collin
Institutions: Johns Hopkins University, Brookhaven National Laboratory, Oak Ridge National Laboratory, Paul Scherrer Institute, Technion – Israel Institute of Technology, University of Utah
Language: English
Open Access status: green
Funders: National Science Foundation, U.S. Department of Energy, Gordon and Betty Moore Foundation, Johns Hopkins University, United States-Israel Binational Science Foundation, Paul Scherrer Institut, Office of Science, Basic Energy Sciences
Awards: G1299390383, Collin Broholm Experimental Investigator Award, G5798147371, MRI: Acquisition of an Advanced Computing Instrument to Integrate Data-Driven Research and Data intensive computing at Johns Hopkins University, Fostering a Culture of Openness and Transparency with Institutional Authorship Policies, G8385992436
OpenAlex ID: W7223841660
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