Zeeman Quantum Geometry of the Layer Pseudo-spin

@misc{jiang2026zeeman,
  title = {{Zeeman Quantum Geometry of the Layer Pseudo-spin}},
  author = {Bingxuan Jiang and Shihao Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.26982},
  eprint = {2610.26982},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.26982},
}

TY  - UNPB
TI  - Zeeman Quantum Geometry of the Layer Pseudo-spin
AU  - Bingxuan Jiang
AU  - Shihao Zhang
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.26982
UR  - https://arxiv.org/abs/2610.26982
AB  - Two-dimensional layers coupled by position-dependent interlayer tunnelling host a layer pseudo-spin whose polarization is a controllable internal degree of freedom. We introduce the quantum geometry of this layer pseudo-spin: a mixed tensor formed from the interband Berry connection and the layer matrix element, which governs the response to an oscillating in-plane electric field. Because the layer pseudo-spin is an Ising-type scalar invariant under threefold rotation, its selection rules differ from those of a pseudovector spin. In a minimal two-band model, the layer-pseudo-spin quantum metric and Zeeman--Berry curvature are nonzero, while their zone integrals vanish. An in-plane drive therefore leaves the spatially averaged polarization unchanged at linear order but imprints a moiré-periodic intracell pattern, directly imageable by layer-resolved tunnelling. For twisted MoTe_2 bilayer, we quantify the local dipole modulation and identify the rectified, helicity-odd, and third-harmonic channels through which a net response appears at higher order.
ER  -