Cenke Xu

Ising and Spin orders in Iron-Based Superconductors

Motivated by recent neutron scattering experiments, we study the ordering of spins in the iron-based superconductors

Fluctuating spin density waves in metals

\mathrm{LaFeAs}({\mathrm{O}}_{1\ensuremath{-}x}{\mathrm{F}}_{x})

Duality and bosonization of (2+1) -dimensional Majorana fermions

, assuming them in proximity to a Mott insulator in the phase diagram. The ground state of the parent system with

Global phase diagram for magnetism and lattice distortion of iron-pnictide materials

x=0

Destruction of Neel Order in the Cuprates by Electron-Doping

is a spin-density wave with ordering wave vector

Experimental Observables Near a Nematic Quantum Critical Point in the Pnictide and Cuprate Superconductors

\stackrel{P\vec}{Q}=(0,\ensuremath{\pi})

Renormalization group studies on four-fermion interaction instabilities on algebraic spin liquids

or

Fractionalization in Josephson junction arrays hinged by quantum spin Hall edges

(\ensuremath{\pi},0)

Deconfined quantum critical points: symmetries and dualities

. Upon raising the temperature, we find that the system restores SU(2) symmetry, while an Ising symmetry remains broken, explaining the experimentally observed lattice distortion to a monoclinic crystal structure. Upon further temperature increase, the spins finally disorder at a second transition. The phase transition driven by doping with charge carriers similarly splits into an

Quantum critical points of helical Fermi liquids

\mathrm{O}(3)