arXiv subjects

Si-Yu Pan

Publications and source records attributed to Si-Yu Pan.

3 recordsLinked to original sources

arXiv2026

Emergent Gauge Flux and Spin Ordering in Magnetized Triangular Spin Liquids: Applications to Hofstadter-Hubbard Model

Motivated by recent progress in moir\'e superlattices and spin-1/2 triangular-lattice antiferromagnets, we study how orbital magnetic flux and Zeeman coupling compete or cooperate in generating internal U(1) gauge flux in a triangular spin liquid. We show that orbital flux favors a chiral spin liquid with staggered internal flux, whereas Zeeman coupling destabilizes the spinon Fermi-pocket state toward a Landau-level state with spontaneous uniform internal flux and conical spin order. We demonstrate this mechanism in a spin-$1/2$ $J_1$-$J_2$-$J_{\chi}$ model, and further identify thermal Hall and magnetic signatures that distinguish these regimes, with potential applications to moir\'e Hofstadter-Hubbard systems and triangular-lattice antiferromagnets.

cond-mat.str-el↗

arXiv2025

Gauge flux generations of weakly magnetized Dirac spin liquid in a kagom\'{e} lattice

Inspired by the recent progress on the Dirac spin liquid and the kagom\'{e} lattice antiferromagnets, we revisit the U(1) Dirac spin liquid on the kagom\'{e} lattice and consider the response of this quantum state to the weak magnetic field by examining the matter-gauge coupling. Even though the system is in the strong Mott insulating regime, the Zeeman coupling could induce the internal U(1) gauge flux with the assistance of the Dzyaloshinskii-Moriya interaction. In addition to the perturbatively-induced non-uniform flux from the microscopic interactions, the system spontaneously generates the uniform U(1) gauge flux in a non-perturbative fashion to create the spinon Landau levels and thus gains the kinetic energy for the spinon matters. Renormalized mean-field theory is employed to validate these two flux generation mechanisms. The resulting state is argued to be an ordered antiferromagnet with the in-plane magnetic order, and the gapless Goldstone mode behaves like the gapless gauge boson and the spinons appear at higher energies. The dynamic properties of this antiferromagnet, and the implication for other matter-gauge-coupled systems are discussed.

cond-mat.str-el↗

arXiv2023

Fermionized dual vortex theory for magnetized kagom\'{e} spin liquid

Inspired by the recent quantum oscillation measurement on the kagom\'{e} lattice antiferromagnet in finite magnetic fields, we raise the question about the physical contents of the emergent fermions and the gauge fields if the U(1) spin liquid is relevant for the finite-field kagom\'{e} lattice antiferromagnet. Clearly, the magnetic field is non-perturbative in this regime, and the finite-field state has no direct relation with the U(1) Dirac spin liquid proposal at zero field. We here consider the fermionized dual vortex liquid state as one possible candidate theory to understand the magnetized kagom\'{e} spin liquid. Within the dual vortex theory, the $S^z$ magnetization is the emergent U(1) gauge flux, and the fermionized dual vortex is the emergent fermion. The magnetic field polarizes the spin component that modulates the U(1) gauge flux for the fermionized vortices and generates the quantum oscillation. Within the mean-field theory, we discuss the gauge field correlation, the vortex-antivortex continuum and the vortex thermal Hall effect.

cond-mat.str-el↗