论文标题
整数和分数涡流晶格和偏置长期订单
Integer and fractionalized vortex lattices and off-diagonal long-range order
论文作者
论文摘要
我们分析了非对角线远程顺序（ODLRO）对不均匀的周期性现场配置和多组分顺序参数的影响。对于单个组件顺序参数，我们表明，与ODLRO一致的唯一静态，周期性的字段配置是一个涡旋晶格，并在每个单位单元格中通量量子的单位中具有整数通量。对于具有$ g $ venerate组件的超导体，允许分数涡流。根据精确的订单参数歧管，它们倾向于以$ 1/g $的通量量子的形式出现。众所周知，这些结果是从金茨堡 - 兰道（Ginzburg-Landau）或BCS超导性理论中得出的。我们的结果表明，即使这些理论不再适用，它们也是有效的。整数和分数涡流晶格被透明地看到，由于宏观连贯性和冷凝水的单个估值而出现。
We analyze the implication of off-diagonal long-range order (ODLRO) for inhomogeneous periodic field configurations and multi-component order parameters. For single component order parameters we show that the only static, periodic field configuration consistent with ODLRO is a vortex lattice with integer flux in units of the flux quantum in each unit cell. For a superconductor with $g$ degenerate components, fractional vortices are allowed. Depending on the precise order-parameter manifold, they tend to occur in units of $1/g$ of the flux quantum. These results are well known to emerge from the Ginzburg-Landau or BCS theories of superconductivity. Our results imply that they are valid even if these theories no-longer apply. Integer and fractional vortex lattices are transparently seen to emerge as a consequence of the macroscopic coherence and single valuedness of the condensate.
