Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Orbital magnetization in extended systems.

R Resta1, Davide Ceresoli, T Thonhauser

  • 1INFM Democritos National Simulation Center and Dipartimento di Fisica Teorica, Università di Trieste, Strada Costiera 11, 34014 Trieste, Italy.

Chemphyschem : a European Journal of Chemical Physics and Physical Chemistry
|August 9, 2005
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Magnetic phase transitions and spin density distribution in the molecular multiferroic system GaV<sub>4</sub>S<sub>8</sub>.

Physical review. B·2026
Same author

Pressure-Driven Polar Orthorhombic to Tetragonal Phase Transition in Hafnia at Room Temperature.

Chemistry of materials : a publication of the American Chemical Society·2025
Same author

Vacancy-Induced Tunable Kondo Effect in Twisted Bilayer Graphene.

Physical review letters·2024
Same author

Magnetochiral tunneling in paramagnetic Co<sub>1/3</sub>NbS<sub>2</sub>.

Proceedings of the National Academy of Sciences of the United States of America·2024
Same author

Structural phase purification of bulk HfO<sub>2</sub>:Y through pressure cycling.

Proceedings of the National Academy of Sciences of the United States of America·2024
Same author

Seven-Coordinated High-Pressure Phase of CrSb<sub>2</sub> and Experimental Equation of State of <i>M</i>Sb<sub>2</sub> (<i>M</i> = Cr, Fe, Ru, Os).

Inorganic chemistry·2023
Same journal

Spectroscopic Investigation of the In Vivo Light-Dependent Photodynamics of the Marine Diatom Phaeodactylum tricornutum.

Chemphyschem : a European journal of chemical physics and physical chemistry·2026
Same journal

Atomistic Insights into the Thermal Decomposition and Runaway Mechanism of Peroxypropionic Acid.

Chemphyschem : a European journal of chemical physics and physical chemistry·2026
Same journal

Hydrazine Adsorption on Hexagonal Ice (0001): First-Principles Investigations on Stability, Dynamics, and Chirality Changes.

Chemphyschem : a European journal of chemical physics and physical chemistry·2026
Same journal

Sustainable Ball Milling-Assisted Synthesis of Bread Waste-Derived Highly Porous Carbons for Adsorption-Based Applications.

Chemphyschem : a European journal of chemical physics and physical chemistry·2026
Same journal

RNALig: An ML-Driven Structure-Based Scoring Function for Estimating Binding Affinities of RNA-Ligand Complexes.

Chemphyschem : a European journal of chemical physics and physical chemistry·2026
Same journal

Photoswitchable Polar Azobenzene-Based Liquid Crystals for Electro-Optic and Optical Data Storage Applications.

Chemphyschem : a European journal of chemical physics and physical chemistry·2026
See all related articles

This study develops a bulk expression for orbital magnetization in insulators, analogous to the modern theory of electric polarization. It addresses challenges in defining magnetic properties in the thermodynamic limit for materials with broken time-reversal symmetry.

Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Materials Science

Background:

  • Orbital magnetic dipole moment is ill-defined in the thermodynamic limit due to the unbounded position operator.
  • Surface and bulk magnetic effects are difficult to separate, similar to entangled surface charges and bulk polarization in electric systems.
  • The modern theory of electric polarization, using Berry phase, previously resolved a similar entanglement problem.

Purpose of the Study:

  • To develop a bulk expression for orbital magnetization in insulators with broken time-reversal symmetry.
  • To adapt the successful approach of the modern theory of electric polarization to orbital magnetism.
  • To derive a gauge-invariant expression for orbital magnetization applicable to bulk materials.

Main Methods:

Related Experiment Videos

  • Formulation of a bulk expression for orbital magnetization using lattice-periodic Hamiltonians.
  • Derivation of magnetization contribution from bulk Wannier function currents.
  • Transformation to a Brillouin zone integral of occupied Bloch orbitals and a discretized reciprocal space version.

    • Main Results:

    • A gauge-invariant bulk expression for orbital magnetization is derived for insulators with broken time-reversal symmetry.
    • The derived expression is suitable for implementation in discretized reciprocal space.
    • Tests on a tight-binding model revealed potential edge currents not fully explained by the bulk band structure.

    Conclusions:

    • The study successfully adapted the Berry phase approach to derive a bulk expression for orbital magnetization.
    • The derived formula provides a method to calculate orbital magnetization from bulk band structure properties.
    • Further investigation is needed to reconcile observed edge currents with the bulk band structure theory.