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Lorentz- and CPT-violating models of electrodynamics with Chern-Simons terms are typically plagued by various sorts of instabilities. However, when the Chern-Simons term arises from a slow time variation in a pseudoscalar field with an…

High Energy Physics - Theory · Physics 2020-08-11 Sapan Karki , Brett Altschul

The interplay between different degrees of freedom in condensed matter systems engenders a rich variety of emergent phenomena. In particular, fermions with non-trivial quantum geometry can generate Chern-Simons (CS)-like terms in effective…

Mesoscale and Nanoscale Physics · Physics 2025-08-07 Swati Chaudhary , Takashi Oka

We study the effects of the Chern-Simons term in the hydrodynamics of the five-dimensional Reissner-Nordstrom-AdS background. We work out the decoupling problem of the equations of motion and calculate the retarded Green functions…

High Energy Physics - Theory · Physics 2010-05-27 Yoshinori Matsuo , Sang-Jin Sin , Shingo Takeuchi , Takuya Tsukioka

We study the low energy effective field theory of fermions with electric and magnetic dipole moments at finite temperature. We find that at one loop there is an interaction term of the Chern-Simon form ${\cal L_I}=m_\mu\>A_\nu {\tilde…

High Energy Physics - Phenomenology · Physics 2016-09-01 Subhendra Mohanty , S. N. Nayak , Sarira Sahu

In this paper we link the physics of topological nonlinear {\sigma} models with that of Chern-Simons insulators. We show that corresponding to every 2n-dimensional Chern-Simons insulator there is a (n-1)-dimensional topological nonlinear…

Strongly Correlated Electrons · Physics 2015-05-18 Hong Yao , Dung-Hai Lee

For photons that propagate through a gas of neutrinos with a non-zero chemical potential, the left-handed and right-handed polarization modes acquire different dispersion relations. This is due to the CP and CPT-odd terms induced by such a…

High Energy Physics - Phenomenology · Physics 2009-10-30 Subhendra Mohanty , Jose F. Nieves , Palash B. Pal

We investigate the radiatively induced Chern-Simons-like term in four-dimensional field theory at finite temperature. The Chern-Simons-like term is temperature dependent and breaks the Lorentz and CPT symmetries. We find that this term…

High Energy Physics - Theory · Physics 2009-11-11 F. A. Brito , T. Mariz , J. R. Nascimento , E. Passos , R. F. Ribeiro

Topological insulators display unusual light-matter interactions due to the helical nature of surface electronic states. We study the near-field interaction of light propagating in an optical fiber with crystals of Sb2Te3, a 3D topological…

Materials Science · Physics 2018-10-16 Moti Fridman , Vlada Artel , Anna Peled , Shir Shahal , Ashwin Ramasubramaniam , Doron Naveh

We describe paths in the configuration space of (3+1) dimensional QED whose relative quantum phase (or relative phase in the functional integral) depends on the value of the theta angle. The final configurations on the two paths are related…

High Energy Physics - Theory · Physics 2020-05-18 Stephen D. H. Hsu

Chern-Simons (CS) theories with rank $N$ and level $k$ on Seifert manifold are discussed. The partition functions of such theories can be written as a function of modular transformation matrices summed over different integrable…

High Energy Physics - Theory · Physics 2020-01-01 Arghya Chattopadhyay , Suvankar Dutta , Neetu

Recently it has been shown that surface plasmons supported by an interface between a 3+1 dimensional topological insulator and a metal or between a 3+1 dimensional topological insulator with residual bulk charge carriers and vacuum have a…

Mesoscale and Nanoscale Physics · Physics 2011-09-28 Zohreh Davoudi , Andreas Karch

In this manuscript we identify the main differences between the effects of Kramers symmetry on the systems with even and odd number of electrons, the ways how the aforementioned symmetry affects the structure of the Conical Seams (CSs), and…

Chemical Physics · Physics 2018-12-26 Ruixi Wang , Vladimir Chernyak

Recently, it has been shown how topological phases of matter with crystalline symmetry and $U(1)$ charge conservation can be partially characterized by a set of many-body invariants, the discrete shift $\mathscr{S}_{\text{o}}$ and electric…

Strongly Correlated Electrons · Physics 2025-02-28 Yuxuan Zhang , Maissam Barkeshli

In this brief report, we show that in a 1D system with unit-cell doubling, the coefficient of the $\theta$-term is not only determined the topological index, $\int i\bra{u_k}\frac{\d}{\d k}\ket{u_k}{\rm d}k$. Specifically, the relative…

Other Condensed Matter · Physics 2013-05-29 Kuang-Ting Chen , Patrick A. Lee

In (2+1) dimensions, the Maxwell term $-(1/4) F_{\alpha\beta}F^{\alpha\beta}$ can be replaced by the Chern-Simons three-form $(\kappa/4)\epsilon^{\alpha\beta\gamma}A_\alpha F_{\beta\gamma}$, yielding a novel type of `electromagnetism'. This…

High Energy Physics - Theory · Physics 2011-04-15 C. Duval , P. A. Horvathy

We study the five-dimensional SU(3)_c x U(1)_C gauge theory on the orbifold S^1/Z_2 with a mixed Chern-Simons term. We particularly pay attention to the realization of the dynamical rearrangement of the theta parameter for SU(3)_c. It is…

High Energy Physics - Phenomenology · Physics 2008-11-26 Naoyuki Haba , Yoshiharu Kawamura , Kin-ya Oda

This work presents a study on the nonrelativistic quantum motion of a charged particle in a rotating frame, considering the Aharonov-Bohm effect and a uniform magnetic field. We derive the equation of motion and the corresponding radial…

The Chern index characterizes the topological phases of nonreciprocal photonic systems. Unlike in electronic systems, the photonic Chern number has no clear physical meaning, except that it determines the net number of unidirectional edge…

Optics · Physics 2019-03-06 Mário G. Silveirinha

The properties of a special configuration of a helium-like atomic system, when both electrons are on the surface of a sphere of radius $r$, and angle $\theta$ characterizes their positions on sphere, are investigated. Unlike the previous…

Atomic Physics · Physics 2021-06-22 Evgeny Z. Liverts

We study the Skyrmion of the $SO(2)$ gauged $O(3)$ sigma model in $2+1$ dimensions in the presence of a Skyrme--Chern-Simons (SCS) term, and compare its properties with the corresponding properties of the Skyrmion in the presence of the…

High Energy Physics - Theory · Physics 2024-06-24 Francisco Navarro-Lerida , Eugen Radu , D. H. Tchrakian