Zheng-Cheng Gu

Zheng-Cheng Gu's picture

Areas of Research:
Phone: (519) 569-7600 x8631

Research Interests

My Current Research Interests on Condensed Matter Theory:
(a) Classification of symmetry protected topological phases in interacting bosonic and fermionic systems.
(b) Topological quantum field theory description for symmetry protected topological phases.
(c) Tensor network simulation for two dimensional strongly correlated systems, e.g., frustrated magnets and Hubbard model.

My Current Research Interests on High Energy Theory:
(a) Unification of mass mixing phenomena in quark and lepton sectors. Predictions on leptonic CP violation angle and absolute neutrino mass.
(b) Topological aspects of fundamental particles and unification of three generations.
(c) Beyond Standard Model and new types of Super Symmetry.
(d) Super topological quantum field theory and quantum gravity.

Positions Held

  • 2009 - 2012 Kavli Institute for theoretical physics, UCSB Associate Specialist

Recent Publications

  • Yang Qi and Zheng-Cheng Gu Continuous phase transition from NĂ©el state to Z_2 spin liquid state on a square lattice Phys. Rev. B 89, 235122 arXiv: 1308.2759
  • Zheng-Cheng Gu and Michael Levin The effect of interactions on 2D fermionic symmetry-protected topological phases with Z2 symmetry Phys. Rev. B 89, 201113(R) arXiv: 1304.4569
  • Meng Cheng and Zheng-Cheng Gu Topological Response Theory of Abelian Symmetry-Protected Topological Phases in Two Dimensions Phys. Rev. Lett. 112, 141602 arXiv: 1302.4803
  • Double-Semion Topological Order from Exactly Solvable Quantum Dimer Models Yang Qi, Zheng-Cheng Gu, Hong Yao arXiv: 1406.6364
  • Juven Wang, Zheng-Cheng Gu, Xiao-Gang Wen A field theory representation of pure gauge and mixed gauge-gravity symmetry-protected topological invariants, group cohomology and beyond arXiv: 1405.7689
  • Realization of 2-Dimensional Bosonic Topological Insulators Zheng-Xin Liu, Zheng-Cheng Gu, Xiao-Gang Wen arXiv: 1404.2818
  • Neutrino as topological Majorana zero modes: the origin of three generations of neutrinos and their mass mixing Zheng-Cheng Gu arXiv: 1403.1869
  • A universal form for quark and neutrino mass matrices Zheng-Cheng Gu and John Preskill arXiv: 1401.6616
  • Lattice Model for Fermionic Toric Code Zheng-Cheng Gu, Zhenghan Wang, Xiao-Gang Wen arXiv: 1309.7032


  • Symmetry-protected topological orders for interacting fermions -- fermionic topological non-linear sigma-models and a group super-cohomology theory Princeton PCTS Workshop - Symmetry in Topological Phases(USA)
  • Majorana ghosts: From topological superconductor to the origin of neutrino masses, three generations and their mass mixing IAS Program Topological Matter, Superconductivity and Majorana(Hong Kong)
  • Majorana ghosts: From topological superconductor to the origin of neutrino masses, three generations and their mass mixing The Fourth Conference of Tsinghua Sanya International Mathematics Forum (China)
  • PIRSA:14040099, Grassmann tensor network renormalization and fermionic topological quantum field theory: a new route towards quantum gravity, 2014-04-24, Renormalization Group Approaches to Quantum Gravity
  • PIRSA:14020113, Emergence of p+ip topological superconducting ground state in infinite-U Hubbard model on honeycomb lattice, 2014-02-10, Emergence in Complex Systems
  • PIRSA:13050057, Neutrino as Majorana zero modes, 2013-05-14, Condensed Matter
  • PIRSA:13050052, Majorana Ghosts: From topological superconductor to the origin of neutrino mass, three generations and their mass mixing, 2013-05-07, Emergence & Entanglement II 2013
  • PIRSA:12120037, Fermionic toric code model and a new class of topological phases in interacting fermion system, 2012-12-14, Condensed Matter
  • PIRSA:11110079, Fractional Quantum Hall Effect in the Absence of Landau Levels, 2011-11-04, Condensed Matter
  • PIRSA:11100094, Tensor Networks and TQFTs, 2011-10-24, Tensor Networks for Quantum Field Theories Conference - 2011
  • PIRSA:11020083, Tensor-net states: a new perspective on many-body quantum systems, 2011-02-16, Colloquium