Abstract
We calculate axion potential in antiferromagnetic insulators from path integral. It is derived from the effective potential for the order parameter of the antiferromagnetic phase in insulators. Static and dynamical axions are defined consistently from the potential. Consequently antiferromagnetic/paramagnetic and topological/normal orders are classified. The dynamical axion is predicted in all phases and its mass turns out to be various values up to eV scale.
Highlights
Axion is a hypothetical elementary particle that is considered to solve the strong CP problem in QCD [1]
The mass of axionlike particles (ALPs) is usually considered as a free parameter, leading to more rich phenomenology compared to the QCD axion
Besides in the field of particle physics, axion is discussed in condensed matter physics
Summary
Axion is a hypothetical elementary particle that is considered to solve the strong CP problem in QCD [1]. Reference [9], on the other hand, studied the latter to predict that the dynamical axion causes the total reflection of light irradiated to the topological insulators under an antiferromagnetic (AFM) order. They solved equations of motion of photon and the dynamical axion that interact with each other via the E·B interaction term and found that an energy gap emerged in the topological insulators. It is found that the effective potential and axion potential are intuitive and useful in order to distinguish the AFM/ paramagnetic (PM) order and the topological/normal phase depending on the model parameters.
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