Quantum transport in topological nodal-line semimetals

Topological nodal-line semimetals offer an attractive research platform for exploring a variety of novel phenomena, which have attracted great research interest in the past decade. There are three unique features of the nodal-line semimetals: (i) band crossing along the closed loop that carries [For...

Full description

Bibliographic Details
Main Authors: Min-Xue Yang, Wei Luo, Wei Chen
Format: Article
Language:English
Published: Taylor & Francis Group 2022-12-01
Series:Advances in Physics: X
Subjects:
Online Access:https://www.tandfonline.com/doi/10.1080/23746149.2022.2065216
_version_ 1811291311770173440
author Min-Xue Yang
Wei Luo
Wei Chen
author_facet Min-Xue Yang
Wei Luo
Wei Chen
author_sort Min-Xue Yang
collection DOAJ
description Topological nodal-line semimetals offer an attractive research platform for exploring a variety of novel phenomena, which have attracted great research interest in the past decade. There are three unique features of the nodal-line semimetals: (i) band crossing along the closed loop that carries [Formula: see text] Berry phase, (ii) torus-shaped Fermi surface as the Fermi energy deviates from the nodal loop, and (iii) drumhead-like surface states induced by the band topology, which comprise the main scenarios for most of its electronic properties. Here, we review recent progress on the quantum transport theory of nodal-line semimetals. We show that the properties (i) and (ii) result in a fascinating interplay between the effective dimensionality of electron diffusion and the band topology, which may give rise to 3D weak localization or 2D weak anti-localization effect that can be probed by the magnetoconductivity induced by a weak magnetic field. Moreover, (i) and (ii) can also be revealed by the pattern of the Shubnikov–de Hass oscillation in a strong magnetic field. For the massive nodal-line semimetals with spin-orbit coupling, we show that the magnetic field can induce a topological Lifshitz transition of the Fermi torus from genus 1 to 0. Interestingly, the Lifshitz transition is in good coincidence with the sign reversal of the magnetoresistivity. Compared to the conventional Fermi sphere, the Fermi torus possesses multiple reflection channels, which may give rise to novel scattering processes such as anomalous Andreev reflection at the interface between the semimetal and a superconductor. Besides the bulk states, the drumhead surface states also possess interesting properties. It is shown that the spin polarization of the surface states can induce resonant spin-flipped reflection, which can be detected through both spin and charge transport measurements. We also briefly review the recent experimental progress on the transport properties of nodal-line semimetals and compare the results with the theoretical predictions.
first_indexed 2024-04-13T04:27:27Z
format Article
id doaj.art-24df92d0fbd14bfebe0362a951038500
institution Directory Open Access Journal
issn 2374-6149
language English
last_indexed 2024-04-13T04:27:27Z
publishDate 2022-12-01
publisher Taylor & Francis Group
record_format Article
series Advances in Physics: X
spelling doaj.art-24df92d0fbd14bfebe0362a9510385002022-12-22T03:02:27ZengTaylor & Francis GroupAdvances in Physics: X2374-61492022-12-017110.1080/23746149.2022.2065216Quantum transport in topological nodal-line semimetalsMin-Xue Yang0Wei Luo1Wei Chen2National Laboratory of Solid State Microstructures and department of Physics, Nanjing University, Nanjing, Jiangsu, ChinaNational Laboratory of Solid State Microstructures and department of Physics, Nanjing University, Nanjing, Jiangsu, ChinaNational Laboratory of Solid State Microstructures and department of Physics, Nanjing University, Nanjing, Jiangsu, ChinaTopological nodal-line semimetals offer an attractive research platform for exploring a variety of novel phenomena, which have attracted great research interest in the past decade. There are three unique features of the nodal-line semimetals: (i) band crossing along the closed loop that carries [Formula: see text] Berry phase, (ii) torus-shaped Fermi surface as the Fermi energy deviates from the nodal loop, and (iii) drumhead-like surface states induced by the band topology, which comprise the main scenarios for most of its electronic properties. Here, we review recent progress on the quantum transport theory of nodal-line semimetals. We show that the properties (i) and (ii) result in a fascinating interplay between the effective dimensionality of electron diffusion and the band topology, which may give rise to 3D weak localization or 2D weak anti-localization effect that can be probed by the magnetoconductivity induced by a weak magnetic field. Moreover, (i) and (ii) can also be revealed by the pattern of the Shubnikov–de Hass oscillation in a strong magnetic field. For the massive nodal-line semimetals with spin-orbit coupling, we show that the magnetic field can induce a topological Lifshitz transition of the Fermi torus from genus 1 to 0. Interestingly, the Lifshitz transition is in good coincidence with the sign reversal of the magnetoresistivity. Compared to the conventional Fermi sphere, the Fermi torus possesses multiple reflection channels, which may give rise to novel scattering processes such as anomalous Andreev reflection at the interface between the semimetal and a superconductor. Besides the bulk states, the drumhead surface states also possess interesting properties. It is shown that the spin polarization of the surface states can induce resonant spin-flipped reflection, which can be detected through both spin and charge transport measurements. We also briefly review the recent experimental progress on the transport properties of nodal-line semimetals and compare the results with the theoretical predictions.https://www.tandfonline.com/doi/10.1080/23746149.2022.2065216Nodal-line semimetalsmagnetoresistivityweak (anti-)localizationLifshitz transitionAndreev reflection
spellingShingle Min-Xue Yang
Wei Luo
Wei Chen
Quantum transport in topological nodal-line semimetals
Advances in Physics: X
Nodal-line semimetals
magnetoresistivity
weak (anti-)localization
Lifshitz transition
Andreev reflection
title Quantum transport in topological nodal-line semimetals
title_full Quantum transport in topological nodal-line semimetals
title_fullStr Quantum transport in topological nodal-line semimetals
title_full_unstemmed Quantum transport in topological nodal-line semimetals
title_short Quantum transport in topological nodal-line semimetals
title_sort quantum transport in topological nodal line semimetals
topic Nodal-line semimetals
magnetoresistivity
weak (anti-)localization
Lifshitz transition
Andreev reflection
url https://www.tandfonline.com/doi/10.1080/23746149.2022.2065216
work_keys_str_mv AT minxueyang quantumtransportintopologicalnodallinesemimetals
AT weiluo quantumtransportintopologicalnodallinesemimetals
AT weichen quantumtransportintopologicalnodallinesemimetals