Orbital angular momentum of Bloch electrons: equilibrium formulation, magneto-electric phenomena, and the orbital Hall effect

The investigation of orbital angular momentum (OAM) of delocalised Bloch electrons has advanced our understanding of magnetic, transport, and optical phenomena in crystals, drawing widespread interest across various materials science domains, from metals and semiconductors to topological and magneti...

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Main Authors: Rhonald Burgos Atencia, Amit Agarwal, Dimitrie Culcer
Format: Article
Language:English
Published: Taylor & Francis Group 2024-12-01
Series:Advances in Physics: X
Subjects:
Online Access:https://www.tandfonline.com/doi/10.1080/23746149.2024.2371972
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author Rhonald Burgos Atencia
Amit Agarwal
Dimitrie Culcer
author_facet Rhonald Burgos Atencia
Amit Agarwal
Dimitrie Culcer
author_sort Rhonald Burgos Atencia
collection DOAJ
description The investigation of orbital angular momentum (OAM) of delocalised Bloch electrons has advanced our understanding of magnetic, transport, and optical phenomena in crystals, drawing widespread interest across various materials science domains, from metals and semiconductors to topological and magnetic materials. Here, we review OAM dynamics in depth, focusing on key concepts and non-equilibrium systems, and laying the groundwork for the thriving field of orbitronics. We review briefly the conventional understanding of the equilibrium OAM based on the modern theory of orbital magnetisation. Following this, we explore recent theoretical and experimental developments in out-of-equilibrium systems. We focus on the generation of an OAM density via the orbital magneto-electric, or Edelstein effect, the generation of an OAM current via the orbital Hall effect, the orbital torque resulting from them, along with their reciprocal non-equilibrium counterparts – the inverse orbital Edelstein and inverse orbital Hall effects, as well as OAM conservation. We discuss the most salient achievements and the most pressing challenges in this rapidly evolving field, and in closing we highlight the future prospects of orbitronics.
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spelling doaj-art-1dadcd12f94445b0ae3e915c43c516d12025-08-20T02:20:06ZengTaylor & Francis GroupAdvances in Physics: X2374-61492024-12-019110.1080/23746149.2024.2371972Orbital angular momentum of Bloch electrons: equilibrium formulation, magneto-electric phenomena, and the orbital Hall effectRhonald Burgos Atencia0Amit Agarwal1Dimitrie Culcer2School of Physics, The University of New South Wales, Sydney, AustraliaDepartment of Physics, Indian Institute of Technology, Kanpur, IndiaSchool of Physics, The University of New South Wales, Sydney, AustraliaThe investigation of orbital angular momentum (OAM) of delocalised Bloch electrons has advanced our understanding of magnetic, transport, and optical phenomena in crystals, drawing widespread interest across various materials science domains, from metals and semiconductors to topological and magnetic materials. Here, we review OAM dynamics in depth, focusing on key concepts and non-equilibrium systems, and laying the groundwork for the thriving field of orbitronics. We review briefly the conventional understanding of the equilibrium OAM based on the modern theory of orbital magnetisation. Following this, we explore recent theoretical and experimental developments in out-of-equilibrium systems. We focus on the generation of an OAM density via the orbital magneto-electric, or Edelstein effect, the generation of an OAM current via the orbital Hall effect, the orbital torque resulting from them, along with their reciprocal non-equilibrium counterparts – the inverse orbital Edelstein and inverse orbital Hall effects, as well as OAM conservation. We discuss the most salient achievements and the most pressing challenges in this rapidly evolving field, and in closing we highlight the future prospects of orbitronics.https://www.tandfonline.com/doi/10.1080/23746149.2024.2371972Orbital magnetoelectric effectOrbital Hall effectOrbital angular momentumOrbital Edelstein effectOrbital torque
spellingShingle Rhonald Burgos Atencia
Amit Agarwal
Dimitrie Culcer
Orbital angular momentum of Bloch electrons: equilibrium formulation, magneto-electric phenomena, and the orbital Hall effect
Advances in Physics: X
Orbital magnetoelectric effect
Orbital Hall effect
Orbital angular momentum
Orbital Edelstein effect
Orbital torque
title Orbital angular momentum of Bloch electrons: equilibrium formulation, magneto-electric phenomena, and the orbital Hall effect
title_full Orbital angular momentum of Bloch electrons: equilibrium formulation, magneto-electric phenomena, and the orbital Hall effect
title_fullStr Orbital angular momentum of Bloch electrons: equilibrium formulation, magneto-electric phenomena, and the orbital Hall effect
title_full_unstemmed Orbital angular momentum of Bloch electrons: equilibrium formulation, magneto-electric phenomena, and the orbital Hall effect
title_short Orbital angular momentum of Bloch electrons: equilibrium formulation, magneto-electric phenomena, and the orbital Hall effect
title_sort orbital angular momentum of bloch electrons equilibrium formulation magneto electric phenomena and the orbital hall effect
topic Orbital magnetoelectric effect
Orbital Hall effect
Orbital angular momentum
Orbital Edelstein effect
Orbital torque
url https://www.tandfonline.com/doi/10.1080/23746149.2024.2371972
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AT amitagarwal orbitalangularmomentumofblochelectronsequilibriumformulationmagnetoelectricphenomenaandtheorbitalhalleffect
AT dimitrieculcer orbitalangularmomentumofblochelectronsequilibriumformulationmagnetoelectricphenomenaandtheorbitalhalleffect