Transmission through rectangular potentials in semimetals featuring quadratic dispersion

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics Pub Date : 2025-05-05 DOI:10.1016/j.aop.2025.170053

Ipsita Mandal

引用次数: 0

Abstract

We revisit the problem of transmission of quasiparticles through a rectangular potential barrier, for semimetals featuring quadratic-in-momentum band-crossings at a nodal point. Although this was considered in Mandal (2020), the solutions corresponding to evanescent waves were missed, leading to a partial fulfilment of the boundary conditions required to determine the piecewise-continuous wavefunctions. In this paper, our aim is to correct those shortcomings, recompute the transmission coefficients, and show the resulting behaviour of the conductivity and the Fano factors for some representative parameter values.

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具有二次色散的半金属中通过矩形电位的传输

我们重新审视了准粒子通过矩形势垒的传输问题，对于在节点处具有二次动量带交叉的半金属。尽管在Mandal（2020）中考虑了这一点，但忽略了与消失波对应的解，导致部分满足确定分段连续波函数所需的边界条件。在本文中，我们的目的是纠正这些缺点，重新计算透射系数，并显示一些代表性参数值的电导率和Fano因子的最终行为。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annals of Physics 物理-物理：综合

CiteScore

5.30

自引率

3.30%

发文量

211

审稿时长

47 days

期刊介绍： Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.