What is recorded here?
Watanabe connected a gap within a fixed conserved-charge sector to the static response of that charge at zero temperature. For local quantum systems with a U(1) symmetry, a subregion charge fluctuation creates a neutral variational excitation. The boundary cost of this excitation forces charge fluctuations per volume to vanish when the neutral gap stays positive. Combining this with a susceptibility bound gives zero charge susceptibility, without translation symmetry or a quasiparticle description. The result clarifies part of the connection between magnetization plateaus and neutral-excitation constraints.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The argument uses local Hamiltonian and charge densities, a well-defined reservoir and thermodynamic response limit, and a unique ground state within the selected charge sector. Its extension to symmetry-breaking degeneracy relies on suppressed matrix elements between the distinct states. The conclusion is zero susceptibility at the specified chemical potential; it does not by itself prove a plateau on a finite interval or a gap to charged excitations. The converse fails: gapless neutral excitations can coexist with zero susceptibility or a magnetization plateau.
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People and systems
Haruki Watanabe
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.
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English catalogue narrative
A neutral excitation gap forces zero charge susceptibility in local quantum matter
Watanabe connected a gap within a fixed conserved-charge sector to the static response of that charge at zero temperature. For local quantum systems with a U(1) symmetry, a subregion charge fluctuation creates a neutral variational excitation. The boundary cost of this excitation forces charge fluctuations per volume to vanish when the neutral gap stays positive. Combining this with a susceptibility bound gives zero charge susceptibility, without translation symmetry or a quasiparticle description. The result clarifies part of the connection between magnetization plateaus and neutral-excitation constraints.
Scientific scope
The argument uses local Hamiltonian and charge densities, a well-defined reservoir and thermodynamic response limit, and a unique ground state within the selected charge sector. Its extension to symmetry-breaking degeneracy relies on suppressed matrix elements between the distinct states. The conclusion is zero susceptibility at the specified chemical potential; it does not by itself prove a plateau on a finite interval or a gap to charged excitations. The converse fails: gapless neutral excitations can coexist with zero susceptibility or a magnetization plateau.
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
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.