5 papers
Quantization of Chern-Simons topological invariants for H-type and L-type quantum systems
Oscar Randal-Williams, Lokman Tsui, Xiao-Gang Wen
In 2+1-dimensions (2+1D), a gapped quantum phase with no symmetry (i.e. a topological order) can have a thermal Hall conductance , where the dimensi…
Lattice models that realize -1-symmetry protected topological states for even
Lokman Tsui, Xiao-Gang Wen
Higher symmetries can emerge at low energies in a topologically ordered state with no symmetry, when some topological excitations have very high energy scales while other topologic…
The "non-regularizability" of gapless free fermion Hamiltonian protected by on-site symmetries
Yen-Ta Huang, Lokman Tsui, Dung-Hai Lee
The non-regularizability of free fermion field theories, which is the root of various quantum anomalies, plays a central role in particle physics and modern condensed matter physic…
A Holographic Theory for the Phase Transitions Between Fermionic Symmetry-protected Topological States
Lokman Tsui, Yen-Ta Huang, Dung-Hai Lee
In an earlier work we developed a holographic theory for the phase transition between bosonic symmetry-protected topological (SPT) states. This paper is a continuation of it. Here…
Does the existence of Majorana zero mode in superconducting vortices imply the superconductivity is topologically non-trivial?
Lokman Tsui, Zi-Xiang Li, Yen-Ta Huang +2
We show that the presence of Majorana zero modes (2D), and chiral-dispersing Majorana modes (3D), in the vortex cores of superconductors are neither sufficient nor necessary condit…