We consider the semiclassical equations of motion of a particle when both an external electromagnetic field and the Berry gauge field in the momentum space are present. It is shown that these equations are Hamiltonian and relations between the canonical and covariant variables are determined through a consistent account of all components of the Berry connection. The Jacobian of the canonical-to...

In this paper, we study the Berry curvature induced linear and nonlinear magnon transport in bilayer van der Waals antiferromagnets, where deduce forms for spin energy currents within semiclassical Boltzmann formalism under relaxation time approximation. Even absence of Dzyaloshinskii-Moriya interaction, if turn on layer dependent electrostatic doping (ED) potential anisotropy Heisenberg intera...

A bstract When a quantum field theory is trivially gapped, its infrared fixed point an invertible theory. The partition function of the records response to various background fields in long-distance limit. set can include spacetime-dependent coupling constants, which case we call corresponding parameterized We study such theories arising from free Dirac fermions with mass parameters using Atiya...

We demonstrate that the well-known expression for charge magnetization of a sample with non-zero Berry curvature can be obtained by demanding Einstein relation holds electric transport current. extend this formalism to energy current and show must satisfy particular condition. provide physical interpretation condition, relate circulating currents in Chern insulators due chiral edge states. furt...

When nanometric, noncoplanar spin textures with scalar chirality (SSC) are coupled to itinerant electrons, they endow the quasiparticle wavefunctions a gauge field, termed Berry curvature, in way that bears analogy relativistic spin-orbit coupling (SOC). The resulting deflection of moving charge carriers is geometrical (or topological) Hall effect. Previous experimental studies modeled this sig...