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Field-driven transition from quantum spin liquid to magnetic order in triangular-lattice antiferromagnets
Santanu Dey, Joseph Maciejko, Matthias Vojta
Recently several triangular-lattice magnets with delafossite structure have been found to display spin-liquid behavior down to the lowest temperatures. Remarkably, applying a magne…
Anderson localization transition in disordered hyperbolic lattices
Anffany Chen, Joseph Maciejko, Igor Boettcher
We study Anderson localization in disordered tight-binding models on hyperbolic lattices. Such lattices are geometries intermediate between ordinary two-dimensional crystalline lat…
Monopoles in Dirac spin liquids and their symmetries from instanton calculus
G. Shankar, Joseph Maciejko
The Dirac spin liquid (DSL) is a two-dimensional (2D) fractionalized Mott insulator featuring massless Dirac spinon excitations coupled to a compact gauge field, which allow…
Hyperbolic lattices and two-dimensional Yang-Mills theory
G. Shankar, Joseph Maciejko
Hyperbolic lattices are a new type of synthetic quantum matter emulated in circuit quantum electrodynamics and electric-circuit networks, where particles coherently hop on a discre…
Investigation of Floquet engineered non-Abelian geometric phase for holonomic quantum computing
Logan W. Cooke, Arina Tashchilina, Mason Protter +5
Holonomic quantum computing (HQC) functions by transporting an adiabatically degenerate manifold of computational states around a closed loop in a control-parameter space; this cyc…
Hyperbolic non-Abelian semimetal
Tarun Tummuru, Anffany Chen, Patrick M. Lenggenhager +3
We extend the notion of topologically protected semi-metallic band crossings to hyperbolic lattices in a negatively curved plane. Because of their distinct translation group struct…
Non-Abelian hyperbolic band theory from supercells
Patrick M. Lenggenhager, Joseph Maciejko, Tomáš Bzdušek
Wave functions on periodic lattices are commonly described by Bloch band theory. Besides Abelian Bloch states labeled by a momentum vector, hyperbolic lattices support non-Abelian…
Symmetry and topology of hyperbolic Haldane models
Anffany Chen, Yifei Guan, Patrick M. Lenggenhager +3
Particles hopping on a two-dimensional hyperbolic lattice feature unconventional energy spectra and wave functions that provide a largely uncharted platform for topological phases…