标题： 狄拉克费米子与零质量线相关的动力学特性 显示英文标题

标题： Peculiarities of dynamics of Dirac fermions associated with zero-mass lines

摘要： 零质量线导致狄拉克费米子出现线性色散模式。 这些模式在各种物理系统中起着重要作用。 然而，由于不同零质量线之间的隧穿或离心力，狄拉克费米子可能不会严格遵循单一的零质量线。 当狄拉克费米子偏离零质量线时，它会获得质量，这可能会显著影响其预期的“无质量”行为。 在本文中，我们计算了两个零质量线之间隧穿引起的能隙，并表明其打开会导致线性色散模式的非局域化。 零质量线的绝热弯曲会产生几何相位。 这些包括与曲率局部相关的贝里相位，以及由于零质量线附近质量平方不对称性产生的新相位。 显示英文摘要

摘要： Zero-mass lines result in appearance of linear dispersion modes for Dirac fermions. These modes play an important role in various physical systems. However, a Dirac fermion may not precisely follow a single zero-mass line, due to either tunneling between different lines or centrifugal forces. Being shifted from a zero-mass line the Dirac fermion acquires mass which can substantially influence its expected "massless" behavior. In the paper we calculate the energy gap caused by the tunneling between two zero-mass lines and show that its opening leads to the delocalization of linear dispersion modes. The adiabatic bending of a zero-mass line gives rise to geometric phases. These are the Berry phase, locally associated with a curvature, and a new phase resulting from the mass square asymmetry in the vicinity of a zero-mass line.