Origin of Lattice Spin in Graphitic Systems
Kumar Abhinav, Prasanta K. Panigrahi
TL;DR
This paper explains the origin of lattice spin in graphitic systems as emerging from SU(2) symmetry and Schwinger angular momentum, emphasizing the role of a mass term in the Dirac dispersion.
Contribution
It reveals that lattice spin arises from SU(2) symmetry via Schwinger operators and depends on the presence of a mass term in the Dirac dispersion.
Findings
Lattice spin originates from SU(2) symmetry in sub-lattices.
A mass term in Dirac dispersion is essential for lattice spin.
Sub-lattice displacements do not affect lattice spin.
Abstract
Lattice spin, in planar condensed matter system with emergent Dirac dispersion, is shown to emerge from the inherent SU(2) symmetry, arising through Schwingers angular momentum construction from anti-commuting Heisenberg operators of the sub-lattices. The presence of a mass term in the emergent Dirac dispersion is essential for the existence of this spin. The usual hopping term, that entangles the two sub-lattices, leads to the orbital counterpart. Relative sub-lattice displacements, that couple to the effective Dirac fermions like U(1) gauge fields, do not effect the lattice spin.
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Taxonomy
TopicsGraphene research and applications · Fiber-reinforced polymer composites · Graphite, nuclear technology, radiation studies