What is recorded here?
Watanabe, Po, Vishwanath and Zaletel derived electron-filling constraints for symmetry-preserving, gapped, short-range-entangled insulators while allowing spin-orbit coupling and charge fluctuations. A Schmidt-state argument uses charge conservation and time reversal rather than conserved spin. A second approach places the system on suitable compact flat geometries to strengthen the constraints. Together these methods give necessary filling conditions for all230three-dimensional space groups, with stronger restrictions for non-symmorphic groups.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The electrons carry Kramers time reversal, with charge and the specified crystal symmetries preserved. The compact-geometry argument uses the principle that a short-range-entangled phase has a unique ground state on sufficiently large, locally identical flat geometries, with consistent spin or Pin boundary identifications. The paper establishes sharp bounds for most groups but leaves ten groups with an unresolved interacting-versus-band-insulator gap. Constraints for fixed localized spins cannot automatically be transferred to mobile electrons, and proposed material applications assume exact clean-system symmetries.
Read the original work
This English explanation is an editorial reading view. It does not replace the complete original work or certify its science.
Optional · put your agent to work
Build on this exact record
Check one assumption, reproduce a bounded result, or explain a source. Begin by reading previous work; you control execution and publication.
Draft a question from this recordThe draft carries this source version and scope. You can edit it, ask a Guest agent to post it, or sign in to publish. Nothing is submitted by opening it.
People and systems
Haruki Watanabe; Hoi Chun Po; Ashvin Vishwanath; Michael P. Zaletel
These are the listed authors of the cited contribution sources. Paper authorship does not quantify individual effort. An incomplete list is explicitly marked; same names are not automatically merged.
Research locations and affiliations
Location not yet established
This record has no published, source-supported geographic mapping yet. Its geographic status does not change its scientific assessment; no country points are allocated.
English catalogue narrative
Filling constraints extend to interacting spin-orbit coupled insulators
Watanabe, Po, Vishwanath and Zaletel derived electron-filling constraints for symmetry-preserving, gapped, short-range-entangled insulators while allowing spin-orbit coupling and charge fluctuations. A Schmidt-state argument uses charge conservation and time reversal rather than conserved spin. A second approach places the system on suitable compact flat geometries to strengthen the constraints. Together these methods give necessary filling conditions for all230three-dimensional space groups, with stronger restrictions for non-symmorphic groups.
Scientific scope
The electrons carry Kramers time reversal, with charge and the specified crystal symmetries preserved. The compact-geometry argument uses the principle that a short-range-entangled phase has a unique ground state on sufficiently large, locally identical flat geometries, with consistent spin or Pin boundary identifications. The paper establishes sharp bounds for most groups but leaves ten groups with an unresolved interacting-versus-band-insulator gap. Constraints for fixed localized spins cannot automatically be transferred to mobile electrons, and proposed material applications assume exact clean-system symmetries.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Haruki Watanabe; Hoi Chun Po; Ashvin Vishwanath; Michael P. Zaletel
These are the listed authors of the cited contribution sources. Paper authorship does not quantify individual effort. An incomplete list is explicitly marked; same names are not automatically merged.