Spontaneous Quantum Hall Effect in chiral d-density waves

Abstract

We study the electromagnetic response of a chiral ${\mathrm{d}}_{\mathrm{xy}}+\mathrm{i}{\mathrm{d}}_{{\mathrm{x}}^2-{\mathrm{y}}^2}$ charge density wave state. Due to parity ($\mathcal{P}$) and time reversal ($\mathcal{T}$) violation, Chern-Simons terms emerge in the effective action of the U(1) gauge field. As a consequence electric and magnetic fields are coupled providing the possibility of observing the Spontaneous Quantum Hall Effect i.e. generation of Hall voltage via the sole application of an electric field. We show how the Chern-Simons terms are induced and discuss the topological origin of the quantization of Hall conductance.

Published version

References in corpus (12)

• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Hidden Order in the Cuprates
• Density Wave States of Non-Zero Angular Momentum
• Fractional Vortices as Evidence of Time-Reversal Symmetry Breaking in High-Temperature Superconductors
• Spontaneous Hall effect in chiral p-wave superconductor
• Observation of Induced Chern-Simons Term in P- and T- violating Superconductors
• Abelian Chern-Simons Term in Superfluid 3He-A
• Theory of the high-frequency chiral optical response in a p_x+ip_y superconductor
• Vortex with Fractional Quantum Numbers in Chiral p-Wave Superconductor
• STRUCTURING THE SET OF INCOMPRESSIBLE QUANTUM HALL FLUIDS
• Spontaneous magnetization and Hall effect in superconductors with broken time-reversal symmetry
• Unconventional density wave in CeCoIn_5?

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• Nematicity from mixed S_{+-} + d_{x^2-y^2} states in iron-based superconductors
• Meissner effect without superconductivity from a chiral d-density wave
• Magnetic-field-induced chiral hidden order in URu2Si2
• Magnetic field induced chiral particle-hole condensates
• Majorana Braiding Racetracks from Charge Chern Insulator - Superconductor Hybrids