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arXiv 1607.01352cond-mat.other
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周期势场中超流体中涡旋的横向力

Transverse forces on vortices in superfluids in a periodic potential

E. B. Sonin

摘要:

本文分析了在$T=0$中周期势作用下超流体中涡旋所受的横向力(Magnus力和洛伦兹力)。讨论了弱势情形和玻色-哈伯德模型描述的紧束缚极限。分析是基于真实动量和准动量的平衡。特别注意的是超流-绝缘体转变附近的超流。在相图的这一区域,理论预测了粒子-空穴对称线,在那里,马格努斯力的符号相对于从速度循环的符号预期的符号改变。我们的分析表明,马格努斯力的大小是一个连续的函数,在交叉的粒子-空穴对称线。这挑战了将马格努斯力的大小与拓扑陈数联系起来并预测跨越这条线时会发生跳跃的理论。不一致的内在钉扎和引导涡运动的拓扑方法中忽略的作用进行解释。这又一次证明,一般说来,拓扑参数对于导出涡旋运动方程是不够的。

英文摘要:

The paper analyzes the transverse forces (the Magnus and the Lorentz forces) on vortices in superfluids put into periodic potentials at $T=0$. The case of weak potential and the tight-binding limit described by the Bose-Hubbard model were addressed. The analysis was based on the balance of true momentum and quasimomentum. A special attention was paid to the superfluid close to the superfluid-insulator transition. In this area of the phase diagram the theory predicts the particle-hole symmetry line where the Magnus force changes sign with respect to that expected from the sign of velocity circulation. Our analysis has shown that the magnitude of the Magnus force is a continuous function at crossing the particle-hole symmetry line. This challenges the theory connecting the magnitude of the Magnus force with topological Chern numbers and predicting a jump at crossing this line. Disagreement is explained by the role of intrinsic pinning and guided vortex motion ignored in the topological approach. It is one more evidence that in general topological arguments are not sufficient for derivation of equations of vortex motion.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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