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Drude Weight, Meissner Weight, Rotational Inertia of Bosonic Superfluids: How Are They Distinguished?

机译:Drude重量,Meissner重量,Bosonic超流体的转动惯量:它们如何区分?

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摘要

The Drude weight, the quantity which distinguishes metals from insulators, is proportional to the second derivative of the ground state energy with respect, to a flux at zero flux. The same expression also appears in the definition of the Meissner weight, the quantity which indicates superconductivity, as well as in the definition of non-classical rotational inertia of bosonic superfluids. It is shown that the difference between these quantities depends on the interpretation of the average momentum term, which can be understood as the expectation value of the total momentum (Drude weight), the sum of the expectation values of single momenta (rotational inertia of a superfluid), or the sum over expectation values of momentum pairs (Meissner weight). This distinction appears naturally when the current from which the particular transport quantity is derived is cast in terms of shift operators.
机译:德鲁德权重(区分金属与绝缘体的数量)与零磁通量下的基态能量的二阶导数成正比。迈斯纳重量的定义,表示超导性的量以及玻色超流体的非经典旋转惯性的定义中也出现了相同的表达式。结果表明,这些量之间的差异取决于对平均动量项的解释,可以将其理解为总动量的期望值(德鲁德权重),单个力矩的期望值之和(a的旋转惯量)。超流体),或动量对的期望值之和(Meissner权重)。当根据换挡算子来转换得出特定运输量的电流时,这种区别自然会出现。

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