Unidirectional subsystem symmetry in a hole-doped honeycomb-lattice Ising magnet

Abstract

We study a model of a hole-doped collinear Ising antiferromagnet on the honeycomb lattice as a route toward the realization of subsystem symmetry. We find nearly exact conservation of dipole symmetry verified both numerically with exact diagonalization (ED) on finite clusters and analytically with perturbation theory. The emergent symmetry forbids the motion of single holes -- or fractons -- but allows hole pairs -- or dipoles -- to move freely along a one-dimensional line, the antiferromagnetic direction, of the system; in the transverse direction, both fractons and dipoles are completely localized. This presents a realization of a `unidirectional' subsystem symmetry. By studying interactions between dipoles, we argue that the subsystem symmetry is likely to continue to persist up to finite (but probably small) hole concentrations.

5 pages, 4 figures

References in corpus (15)

• Local stabilizer codes in three dimensions without string logical operators
• Dynamical crystallization in a low-dimensional Rydberg gas
• Fracton topological phases from strongly coupled spin chains
• Quantum Simulation of the Hubbard Model: The Attractive Route
• Correlation function diagnostics for type-I fracton phases
• A simple anisotropic three-dimensional quantum spin liquid with fracton topological order
• Finite-Temperature Screening of U(1) Fractons
• Construction of Fractal Order and Phase Transition with Rydberg Atoms
• Subdimensional criticality: condensation of lineons and planons in the X-cube model
• Hole in the 2D Ising Antiferromagnet: Origin of the Incoherent Spectrum
• Binding of holons and spinons in the one-dimensional anisotropic t-J model
• Spinon-holon interactions in an anisotropic t-J chain: a comprehensive study
• Pascal's Triangle Fractal Symmetries
• A Multicritical Point with Infinite Fractal Symmetries
• The magnon-mediated attraction between two holes doped in a CuO${}_2$ layer