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Regular magnetic orders in triangular and kagome lattices.

Kallol Mondal1, Charudatt Kadolkar1

  • 1Department of Physics, Indian Institute of Technology Guwahati, Guwahati, Assam 781039, India.

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|September 17, 2021
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This study identifies all possible regular magnetic orders for triangular and kagome lattices using group theory. These magnetic structures are crucial for understanding the ground states of various spin models.

Keywords:
frustrated antiferromagnetsmagnetic orderspin model

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Area of Science:

  • Condensed Matter Physics
  • Quantum Magnetism
  • Group Theory Applications

Background:

  • Regular magnetic orders (RMOs) are essential variational candidates for ground states in spin models.
  • Understanding RMOs is key to characterizing magnetic properties of materials.
  • Triangular and kagome lattices exhibit complex magnetic behaviors.

Purpose of the Study:

  • To systematically investigate and list all possible regular magnetic orders for triangular and kagome lattices.
  • To extend previous group theoretical approaches for classifying magnetic structures.
  • To provide a comprehensive catalog of RMOs for these specific lattice types.

Main Methods:

  • Application of group theoretical methods to classify magnetic orders.
  • Extension of existing frameworks (Messio et al., 2011) to related crystallographic subgroups.
  • Analysis of spin models with global O(3) spin rotation symmetry.

Main Results:

  • A complete enumeration of possible regular magnetic orders for triangular and kagome lattices under specified symmetry groups.
  • Calculation of energies for each identified magnetic state.
  • Determination of spin structure factors for these RMOs.

Conclusions:

  • The study provides a comprehensive classification of RMOs for triangular and kagome lattices.
  • The identified RMOs serve as important variational candidates for ground states.
  • This work offers valuable data for further theoretical and experimental investigations in magnetism.