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arXiv 1606.03465cond-mat.mes-hall
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量子线中的隧穿:隧穿哈密顿量的正则化和自由费米子与玻色化费米子之间的一致性

Tunneling into quantum wires: regularization of the tunneling Hamiltonian and consistency between free and bosonized fermions

Michele Filippone, Piet Brouwer

摘要:

点接触和一维导线之间的隧穿通常借助于包含位置空间中的δ函数的隧穿哈密顿量来描述。而领先的顺序的隧道电流的贡献是独立的方式,该δ函数是正规化,高阶校正相对于隧道振幅是已知的依赖于正规化。代替正则化隧道哈密顿量中的δ函数,人们也可以通过调用一维导体中电子的场论描述中的紫外截止来获得有限的隧道电流,这是文献中经常使用的方法。对于后者的情况下,我们表明,标准的紫外截止导致不同的结果,隧道电流的费米和玻色子化配方的理论,当超越领先的顺序在隧穿振幅。我们展示了如何使用泛函玻色子化的形式来恢复标准的费米子结果,并在相互作用的情况下重新审视隧道电流的领先顺序。

英文摘要:

Tunneling between a point contact and a one-dimensional wire is usually described with the help of a tunneling Hamiltonian that contains a delta function in position space. Whereas the leading order contribution to the tunneling current is independent of the way this delta function is regularized, higher-order corrections with respect to the tunneling amplitude are known to depend on the regularization. Instead of regularizing the delta function in the tunneling Hamiltonian, one may also obtain a finite tunneling current by invoking the ultraviolet cut-offs in a field-theoretic description of the electrons in the one-dimensional conductor, a procedure that is often used in the literature. For the latter case, we show that standard ultraviolet cut-offs lead to different results for the tunneling current in fermionic and bosonized formulations of the theory, when going beyond leading order in the tunneling amplitude. We show how to recover the standard fermionic result using the formalism of functional bosonization and revisit the tunneling current to leading order in the interacting case.

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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