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General First-Principles Approach to Crystals in Finite Magnetic Fields.

Chengye Lü1, Yingwei Chen1, Yuzhi Wang2,3

  • 1Fudan University, Key Laboratory of Computational Physical Sciences (Ministry of Education), Institute of Computational Physical Sciences, State Key Laboratory of Surface Physics, and Department of Physics, Shanghai 200433, China.

Physical Review Letters
|November 21, 2025
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Summary
This summary is machine-generated.

We present a new computational method for electronic structure calculations in magnetic fields. This approach is efficient and versatile for studying magnetic properties in molecules and crystals.

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Area of Science:

  • Condensed Matter Physics
  • Computational Chemistry
  • Materials Science

Background:

  • Accurate electronic structure calculations are crucial for understanding material properties.
  • Simulating systems in magnetic fields presents significant computational challenges.
  • Existing methods often struggle with efficiency and versatility for magnetic field applications.

Purpose of the Study:

  • To develop a general first-principles methodology for electronic structure in finite uniform magnetic fields.
  • To enable calculations with arbitrary rational magnetic flux and nonlocal pseudopotentials.
  • To provide a computationally efficient alternative to zero-field methods.

Main Methods:

  • A novel first-principles computational methodology.
  • Incorporation of arbitrary rational magnetic flux.
  • Utilization of nonlocal pseudopotentials.
  • Comparable time complexity to zero-field plane-wave pseudopotential methods.

Main Results:

  • Demonstrated versatility across molecular and crystalline systems.
  • Successful calculations of magnetizabilities, magnetically induced currents, and magnetic energy bands.
  • Rigorous proofs of strong translational symmetry and magnetic band shift phenomena in crystals.

Conclusions:

  • The developed methodology offers an efficient and versatile tool for electronic structure calculations in magnetic fields.
  • This work advances the understanding of magnetic phenomena in condensed matter systems.
  • The findings pave the way for more accurate predictions of magnetic material properties.