Scholarlink

Abstract <p>In this work we study the emergence of Majorana zero modes in a carbon nanotube coupled by proximity to a conventional superconductor and subjected to a magnetic field applied along the tube axis. We show that, at low energies, this system can be described as a one-dimensional superconducting wire whose behavior is controlled by three main parameters: the Zeeman energy, the induced superconducting gap, and an effective chemical potential. In a carbon nanotube, this effective chemical potential is not arbitrary but is strongly influenced by the tube geometry, in particular by its radius and chirality, as well as by the Aharonov–Bohm flux associated with the axial magnetic field. By tuning these parameters, the system undergoes a phase transition signaled by the closing and reopening of the superconducting gap. In the topological phase, low-energy states appear at the ends of the nanotube, consistent with Majorana zero modes. Numerical simulations confirm these signatures and show their robustness against moderate disorder.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Topological Phase Transition and Majorana Bound States in a One-Dimensional Rashba–Zeeman Superconducting System

  • 期刊论文

  • 发表日期：

    2026年7月8日

查看全文
  • Ismael Elias Erazo Velasco

摘要

Abstract

In this work we study the emergence of Majorana zero modes in a carbon nanotube coupled by proximity to a conventional superconductor and subjected to a magnetic field applied along the tube axis. We show that, at low energies, this system can be described as a one-dimensional superconducting wire whose behavior is controlled by three main parameters: the Zeeman energy, the induced superconducting gap, and an effective chemical potential. In a carbon nanotube, this effective chemical potential is not arbitrary but is strongly influenced by the tube geometry, in particular by its radius and chirality, as well as by the Aharonov–Bohm flux associated with the axial magnetic field. By tuning these parameters, the system undergoes a phase transition signaled by the closing and reopening of the superconducting gap. In the topological phase, low-energy states appear at the ends of the nanotube, consistent with Majorana zero modes. Numerical simulations confirm these signatures and show their robustness against moderate disorder.