Electron state tomography from quasiparticle interference maps
Abstract
Characterizing electronic band structures requires precise knowledge of wave functions and their quantum geometry. Here, we introduce a tomography method to reconstruct the density matrix of electron states from quasiparticle interference maps around single impurities. We consider twoorbital models on a honeycomb lattice, relevant to graphene heterostructures and direct-gap semiconductors. For on-site impurities, backscattering between time-reversed states directly maps the density matrix populations and coherences into distinct orbital contributions in the interference map. While local probes usually lack orbital resolution, these orbital contributions transform under distinct symmetry group representations and can thus be disentangled to reveal the density matrix and quantum geometric tensor of the scattering states. This establishes impurities as tomographic probes for band structures in scanning tunneling microscopy using conventional, unpolarized tips.
Versions
Related
- Signatures of spin-wave dynamics in quasiparticle interference
- A dipole-forbidden conduction-band transition and the mid-infrared absorption of n-type Mg2Si, Mg2Ge and Mg2Sn: all-electron quasiparticle self-consistent GW calculations
- Transferable Quasiparticle Correlation, Subtractive Multireference Embedding for Biradicaloid Ozone, and Retarded Casimir–Polder Dispersion in Multi-Electron Systems
- Deep Learning GW Quasiparticle Hamiltonians for Many-Body Excited-State Electronic Structure at Scale
- The Multi-Electron Unified Wave Equation in Quantum Chemistry: Symmetrized Riesz Exchange Kernels, Sobolev Domain Classification, and O(N4) Quasiparticle Electronic Structure across Bond Dissociation
BibTeX
@article{razanajatovo2026electron,
title = {{Electron state tomography from quasiparticle interference maps}},
author = {A. Razanajatovo and J. Cayssol and C. Dutreix},
journal = {Physical Review B},
year = {2026},
month = oct,
doi = {10.1103/q4hk-nkdh},
eprint = {2606.18858},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05797817v1},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Electron state tomography from quasiparticle interference maps
AU - A. Razanajatovo
AU - J. Cayssol
AU - C. Dutreix
PY - 2026
DA - 2026/10/13
JO - Physical Review B
DO - 10.1103/q4hk-nkdh
UR - https://hal.science/hal-05797817v1
AB - Characterizing electronic band structures requires precise knowledge of wave functions and their quantum geometry. Here, we introduce a tomography method to reconstruct the density matrix of electron states from quasiparticle interference maps around single impurities. We consider twoorbital models on a honeycomb lattice, relevant to graphene heterostructures and direct-gap semiconductors. For on-site impurities, backscattering between time-reversed states directly maps the density matrix populations and coherences into distinct orbital contributions in the interference map. While local probes usually lack orbital resolution, these orbital contributions transform under distinct symmetry group representations and can thus be disentangled to reveal the density matrix and quantum geometric tensor of the scattering states. This establishes impurities as tomographic probes for band structures in scanning tunneling microscopy using conventional, unpolarized tips.
SN - 2469-9950
SN - 2469-9969
ER -