Quantum spin liquid in the magnetic field and the phase diagram of the spin-1/2 J<sub>1</sub>-J<sub>2</sub> triangular lattice antiferromagnet.
ORAL · Invited
Abstract
The search for quantum spin liquids—long-range entangled magnetic states with fractionalized excitations—has become a defining pursuit in modern condensed-matter physics. The triangular lattice Heisenberg antiferromagnet with interactions between nearest (J1) and next-nearest (J2) spins is central to this search.
Employing large-scale density matrix renormalization group (DMRG) studies on finite-circumference cylinders and a number of approximate spin-wave calculations, we obtain the ground-state phase diagram of the model in a magnetic field [1]. Focusing on the putative quantum spin liquid regime of J2/J1 ≈ 0.1, we observe the formation of two magnetization plateaus at 1/3 and 1/2 of the total magnetization, extending beyond the semiclassical first-order transition line at J2/J1 = 0.125. This observation of overlapping magnetization plateaus could serve as a telltale sign of the quantum spin liquid region, which lies below the plateaus along the field axis, in future experimental studies of candidate spin liquid materials with triangular lattice geometry.
We will also discuss the dynamical response of the Dirac spin liquid and its evolution with the magnetic field [2].
Employing large-scale density matrix renormalization group (DMRG) studies on finite-circumference cylinders and a number of approximate spin-wave calculations, we obtain the ground-state phase diagram of the model in a magnetic field [1]. Focusing on the putative quantum spin liquid regime of J2/J1 ≈ 0.1, we observe the formation of two magnetization plateaus at 1/3 and 1/2 of the total magnetization, extending beyond the semiclassical first-order transition line at J2/J1 = 0.125. This observation of overlapping magnetization plateaus could serve as a telltale sign of the quantum spin liquid region, which lies below the plateaus along the field axis, in future experimental studies of candidate spin liquid materials with triangular lattice geometry.
We will also discuss the dynamical response of the Dirac spin liquid and its evolution with the magnetic field [2].
*This research was supported by Grant No. 2024200 from the United States-Israel Binational Science Foundation (BSF).
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Publication: [1] Anna Keselman, Xinyuan Xu, and Oleg A. Starykh, "J_1-J_2 triangular lattice antiferromagnet in the magnetic field", manuscript in preparation.
[2] Chuang Chen, Urban F. P. Seifert, Kexin Feng, Oleg A. Starykh, Leon Balents, Zi Yang Meng, "Emergent gauge flux in QED3 with flavor chemical potential: application to magnetized U(1) Dirac spin liquids", arxiv:2508.08528.
Presenters
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Oleg A Starykh
- University of Utah