Abstract

This dissertation presents a systematic theoretical investigation into realizing a condensed matter analogue of the Chiral Magnetic Effect (CME) in a quasi-planar, 2+1D system. The work develops a low-energy effective Hamiltonian for an engineered honeycomb lattice with explicitly broken sublattice symmetry and a time-reversal-symmetry-breaking parameter that produces valley imbalance and a band gap. It further shows, through commutator calculations, that the total angular momentum including orbital and emergent lattice-spin contributions is conserved, establishing a self-consistent theoretical framework for a 2D CME-like response.

Abstract

This dissertation presents a systematic theoretical investigation into realizing a condensed matter analogue of the Chiral Magnetic Effect (CME) in a quasi-planar, 2+1D system. The work develops a low-energy effective Hamiltonian for an engineered honeycomb lattice with explicitly broken sublattice symmetry and a time-reversal-symmetry-breaking parameter that produces valley imbalance and a band gap. It further shows, through commutator calculations, that the total angular momentum including orbital and emergent lattice-spin contributions is conserved, establishing a self-consistent theoretical framework for a 2D CME-like response.

Abstract

This dissertation presents a systematic theoretical investigation into realizing a condensed matter analogue of the Chiral Magnetic Effect (CME) in a quasi-planar, 2+1D system. The work develops a low-energy effective Hamiltonian for an engineered honeycomb lattice with explicitly broken sublattice symmetry and a time-reversal-symmetry-breaking parameter that produces valley imbalance and a band gap. It further shows, through commutator calculations, that the total angular momentum including orbital and emergent lattice-spin contributions is conserved, establishing a self-consistent theoretical framework for a 2D CME-like response.

Abstract

This dissertation presents a systematic theoretical investigation into realizing a condensed matter analogue of the Chiral Magnetic Effect (CME) in a quasi-planar, 2+1D system. The work develops a low-energy effective Hamiltonian for an engineered honeycomb lattice with explicitly broken sublattice symmetry and a time-reversal-symmetry-breaking parameter that produces valley imbalance and a band gap. It further shows, through commutator calculations, that the total angular momentum including orbital and emergent lattice-spin contributions is conserved, establishing a self-consistent theoretical framework for a 2D CME-like response.