arXiv subjects

Yan-Guang Yue

Publications and source records attributed to Yan-Guang Yue.

3 recordsLinked to original sources

arXiv2026

Hierarchical Trion Formation and Fractionalized Solitons in One Dimension

Stabilizing commensurate $2:1$ trions in one-dimensional quantum mixtures is typically hindered by phase separation. Within the conventional density-driven framework, the asymmetric locking mechanism generically couples to a softening density mode, creating a geometric constraint that suppresses the formation of a stable trionic liquid. We demonstrate that correlated kinetics can reorganize the low-energy structure to bypass this instability. Driven by microscopic fermion pair-hopping, the fermions first form an emergent pair liquid. At a $2:1$ filling, the density of the emergent pairs exactly matches the bosons. The low-energy theory is therefore reorganized into an effective symmetric $1:1$ pair-boson mixture. This symmetry decouples the locking mechanism from the softening mode, preempting phase separation and stabilizing a trionic liquid. The reconstructed phase exhibits a correlation hierarchy where only the composite trion retains quasi-long-range order, while the gapped relative sector supports parity-constrained topological kink excitations.

cond-mat.str-el↗

arXiv2025

Universal Rule for Topological Hopf Term via Dirac-Spin Coupling

It is known that the topological Hopf term in two-dimensional (2D) spin systems can be derived by coupling to massless Dirac fermions. We establish a universal rule governing the generation of Hopf terms in 2D quantum spin systems coupled to Dirac fermions. The key insight identifies the Hopf coefficient as the oriented volume in the $\mathfrak{su}(2)$ Lie algebra space formed by Dirac cone matrix bases. This geometric interpretation allows direct determination of Hopf term without path integral computations. Applying this framework, we demonstrate nontrivial Hopf term in tailored checkerboard lattice models and recover known results in graphene-based systems.

cond-mat.str-el↗

arXiv2025

Microscopic study of 3D Potts phase transition via Fuzzy Sphere Regularization

The Potts model describes interacting spins with $Q$ different components, which is a direct generalization of the Ising model ($Q=2$). Compared to the existing exact solutions in 2D, the phase transitions and critical phenomena in the 3D Potts model have been less explored. Here, we systematically investigate a quantum $(2+1)$-D Potts model with $Q=3$ using a fuzzy sphere regularization scheme. We first construct a microscopic model capable of achieving a magnetic phase transition that separates a spin $S_3$ permutationally symmetric paramagnet and a spontaneous symmetry-breaking ferromagnet. Importantly, the energy spectrum at the phase transition point exhibits an approximately conformal symmetry, implying that an underlying conformal field theory may govern this transition. Moreover, when tuning along the phase transition line in the mapped phase diagram, we find that the dimension of the subleading $S_3$ singlet operator flows and drifts around the critical value $\sim 3$, which is believed to be crucial for understanding this phase transition, although determining its precise value remains challenging due to the limitations of our finite-size calculations. These findings suggest a discontinuous transition in the 3D 3-state Potts model, characterized by pseudo-critical behavior, which we argue results from a nearby multicritical or complex fixed point.

cond-mat.stat-mech↗