5 papers
Chiral gapped states are universally non-topological
Xiang Li, Ting-Chun Lin, Yahya Alavirad +1
We propose an operator generalization of the Li-Haldane conjecture regarding the entanglement Hamiltonian of a disk in a 2+1D chiral gapped groundstate. The logic applies to region…
Strict area law entanglement versus chirality
Xiang Li, Ting-Chun Lin, John McGreevy +1
Chirality is a property of a gapped phase of matter in two spatial dimensions that can be manifested through non-zero thermal or electrical Hall conductance. In this paper, we prov…
A systematic search for conformal field theories in very small spaces
Xiang Li, Ting-Chun Lin, John McGreevy
Groundstates of 1+1d conformal field theories (CFTs) satisfy a local entropic condition called the vector fixed point equation. This condition is surprisingly well satisfied by gro…
Conformal geometry from entanglement
Isaac H. Kim, Xiang Li, Ting-Chun Lin +2
In a physical system with conformal symmetry, observables depend on cross-ratios, measures of distance invariant under global conformal transformations (conformal geometry for shor…
Chiral Virasoro algebra from a single wavefunction
Isaac H. Kim, Xiang Li, Ting-Chun Lin +2
Chiral edges of 2+1D systems can have very robust emergent conformal symmetry. When the edge is purely chiral, the Hilbert space of low-energy edge excitations can form a represent…