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Antiferromagnetically ordered topological semimetals in Hubbard model with spin-orbit coupling.
Garima Goyal1, Dheeraj Kumar Singh1
1Department of Physics and Materials Science, Thapar Institute of Engineering and Technology, Patiala 147004, Punjab, India.
Researchers explored Dirac semimetals with magnetic order in 2D systems. They identified conditions for stabilization and analyzed edge states, finding a transition to a Weyl semimetallic state under magnetic fields.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Quantum Mechanics
Background:
- Dirac semimetals are topological materials with unique electronic properties.
- Nonsymmorphic symmetries play a crucial role in novel quantum phenomena.
- Magnetic ordering can significantly alter the electronic band structure.
Purpose of the Study:
- To investigate the existence of Dirac semimetals with magnetic order in 2D systems.
- To determine the phase diagram for stabilizing such states.
- To analyze the edge states and the impact of magnetic fields.
Main Methods:
- Hartree-Fock mean-field theory.
- Hubbard model.
- Phase diagram analysis (second-neighbor spin-orbit coupling vs. Hubbard interaction).
Main Results:
- Identified a region in the phase diagram where Dirac semimetals with magnetic order are stabilized.
- Calculated edge states for ribbons in orthogonal directions.
- Observed stabilization of the Weyl semimetallic (WSM) state under an in-plane magnetic field.
Conclusions:
- Nonsymmorphic symmetry enables magnetic Dirac semimetal states in 2D systems.
- Magnetic fields can induce a topological phase transition to a WSM state.
- Edge states exhibit distinct behaviors in both Dirac and Weyl semimetallic phases.
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