Superdielectrics: Disorder-induced perfect screening in insulators

Ilia Komissarov; Tobias Holder; Raquel Queiroz

doi:10.1038/NPHYS3776

Paper details

Research paper

TheoreticalComputational Multiscale

Superdielectrics: Disorder-induced perfect screening in insulators

Ilia Komissarov, Tobias Holder, Raquel Queiroz

2025·10.1038/NPHYS3776·arXiv:2508.14962

Superdielectrics: Disorder-induced perfect screening in insulators | Matter42 Literature

Materials

1D Anderson insulator model

Studied Material

Also known as

Anderson chainAnderson model

studied material

Su-Schrieffer-Heeger chain with bond disorder

Studied Material

Also known as

SSH chain with bond disorderchiral-disordered SSH chain

studied material

vacancy-doped Kekulé graphene

Studied Material

Also known as

graphene with vacancies and Kekulé bond distortion

studied material

Kekulé-distorted graphene

Studied Material

Also known as

graphene with Kekulé bond distortion

studied material

Properties

Type	Label	Value	Material	Sample	Source
Scaling Relation	quantum metric vs localization length	g ≃ 0.1289 · ξ_typ = 0.03223 · ξ_av	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Scaling Relation	electric susceptibility scaling	χ ≃ 4.808 · ν(E_F) ξ_typ^2	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Scaling Exponent	ξ_typ scaling with disorder strength	W^-2	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Scaling Exponent	ξ_av scaling with disorder strength	W^-2	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Scaling Exponent	ξ_av scaling with dimerization	δ^-2	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Scaling Exponent	g scaling with dimerization	δ^-2	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Scaling Exponent	ξ_typ scaling near EF=0	log(E_F)	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Scaling Exponent	ξ_av scaling near EF=0	log^2(E_F)	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Scaling Exponent	g scaling near EF=0	log^2(E_F)	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Scaling Exponent	χ scaling near EF=0	E_F^-1 log(E_F)	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Scalar Coefficient	c_g	0.1289	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Scalar Coefficient	c_chi	4.808	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Ratio	ξ_av / ξ_typ	4	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Critical Parameter	superdielectric regime	0 < δ ≤ 1/2	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Critical Parameter	regular insulating regime	δ > 1/2	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Qualitative Property	higher-dimensional disorder-driven response	superdielectric phase emerges	C C	Graphene with vacancies and Kekulé bond distortion used to d Kekulé-distorted graphene reference system discussed as a hi	—

Simulations

Other Computational

Analytical low-energy continuum model and diagrammatic resummation of impurity-scattering diagrams for the 1D Anderson model; numerical evaluation of the quantum metric and localization measures.

Settings

regimeξ_typ >> 1

disorderGaussian noise disorder

validationnull

computed quantitiesquantum metric g, typical localization length ξ_typ, average localization length ξ_av, electric susceptibility χ

Materials

1D Anderson insulator model

Studied Material

Also known as

Anderson chainAnderson model

studied material

Su-Schrieffer-Heeger chain with bond disorder

Studied Material

Also known as

SSH chain with bond disorderchiral-disordered SSH chain

studied material

vacancy-doped Kekulé graphene

Studied Material

Also known as

graphene with vacancies and Kekulé bond distortion

studied material

Kekulé-distorted graphene

Studied Material

Also known as

graphene with Kekulé bond distortion

studied material

Properties

Type	Label	Value	Material	Sample	Source
Scaling Relation	quantum metric vs localization length	g ≃ 0.1289 · ξ_typ = 0.03223 · ξ_av	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Scaling Relation	electric susceptibility scaling	χ ≃ 4.808 · ν(E_F) ξ_typ^2	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Scaling Exponent	ξ_typ scaling with disorder strength	W^-2	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Scaling Exponent	ξ_av scaling with disorder strength	W^-2	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Scaling Exponent	ξ_av scaling with dimerization	δ^-2	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Scaling Exponent	g scaling with dimerization	δ^-2	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Scaling Exponent	ξ_typ scaling near EF=0	log(E_F)	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Scaling Exponent	ξ_av scaling near EF=0	log^2(E_F)	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Scaling Exponent	g scaling near EF=0	log^2(E_F)	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Scaling Exponent	χ scaling near EF=0	E_F^-1 log(E_F)	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Scalar Coefficient	c_g	0.1289	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Scalar Coefficient	c_chi	4.808	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Ratio	ξ_av / ξ_typ	4	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Critical Parameter	superdielectric regime	0 < δ ≤ 1/2	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Critical Parameter	regular insulating regime	δ > 1/2	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Qualitative Property	higher-dimensional disorder-driven response	superdielectric phase emerges	C C	Graphene with vacancies and Kekulé bond distortion used to d Kekulé-distorted graphene reference system discussed as a hi	—

Simulations

Other Computational

Analytical low-energy continuum model and diagrammatic resummation of impurity-scattering diagrams for the 1D Anderson model; numerical evaluation of the quantum metric and localization measures.

Settings

regimeξ_typ >> 1

disorderGaussian noise disorder

validationnull

computed quantitiesquantum metric g, typical localization length ξ_typ, average localization length ξ_av, electric susceptibility χ

Materials

1D Anderson insulator model

Studied Material

Also known as

Anderson chainAnderson model

studied material

Su-Schrieffer-Heeger chain with bond disorder

Studied Material

Also known as

SSH chain with bond disorderchiral-disordered SSH chain

studied material

vacancy-doped Kekulé graphene

Studied Material

Also known as

graphene with vacancies and Kekulé bond distortion

studied material

Kekulé-distorted graphene

Studied Material

Also known as

graphene with Kekulé bond distortion

studied material

Properties

Type	Label	Value	Material	Sample	Source
Scaling Relation	quantum metric vs localization length	g ≃ 0.1289 · ξ_typ = 0.03223 · ξ_av	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Scaling Relation	electric susceptibility scaling	χ ≃ 4.808 · ν(E_F) ξ_typ^2	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Scaling Exponent	ξ_typ scaling with disorder strength	W^-2	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Scaling Exponent	ξ_av scaling with disorder strength	W^-2	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Scaling Exponent	ξ_av scaling with dimerization	δ^-2	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Scaling Exponent	g scaling with dimerization	δ^-2	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Scaling Exponent	ξ_typ scaling near EF=0	log(E_F)	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Scaling Exponent	ξ_av scaling near EF=0	log^2(E_F)	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Scaling Exponent	g scaling near EF=0	log^2(E_F)	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Scaling Exponent	χ scaling near EF=0	E_F^-1 log(E_F)	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Scalar Coefficient	c_g	0.1289	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Scalar Coefficient	c_chi	4.808	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Ratio	ξ_av / ξ_typ	4	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Critical Parameter	superdielectric regime	0 < δ ≤ 1/2	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Critical Parameter	regular insulating regime	δ > 1/2	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Qualitative Property	higher-dimensional disorder-driven response	superdielectric phase emerges	C C	Graphene with vacancies and Kekulé bond distortion used to d Kekulé-distorted graphene reference system discussed as a hi	—

Simulations

Other Computational

Analytical low-energy continuum model and diagrammatic resummation of impurity-scattering diagrams for the 1D Anderson model; numerical evaluation of the quantum metric and localization measures.

Settings

regimeξ_typ >> 1

disorderGaussian noise disorder

validationnull

computed quantitiesquantum metric g, typical localization length ξ_typ, average localization length ξ_av, electric susceptibility χ

Materials

1D Anderson insulator model

Studied Material

Also known as

Anderson chainAnderson model

studied material

Su-Schrieffer-Heeger chain with bond disorder

Studied Material

Also known as

SSH chain with bond disorderchiral-disordered SSH chain

studied material

vacancy-doped Kekulé graphene

Studied Material

Also known as

graphene with vacancies and Kekulé bond distortion

studied material

Kekulé-distorted graphene

Studied Material

Also known as

graphene with Kekulé bond distortion

studied material

Properties

Type	Label	Value	Material	Sample	Source
Scaling Relation	quantum metric vs localization length	g ≃ 0.1289 · ξ_typ = 0.03223 · ξ_av	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Scaling Relation	electric susceptibility scaling	χ ≃ 4.808 · ν(E_F) ξ_typ^2	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Scaling Exponent	ξ_typ scaling with disorder strength	W^-2	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Scaling Exponent	ξ_av scaling with disorder strength	W^-2	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Scaling Exponent	ξ_av scaling with dimerization	δ^-2	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Scaling Exponent	g scaling with dimerization	δ^-2	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Scaling Exponent	ξ_typ scaling near EF=0	log(E_F)	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Scaling Exponent	ξ_av scaling near EF=0	log^2(E_F)	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Scaling Exponent	g scaling near EF=0	log^2(E_F)	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Scaling Exponent	χ scaling near EF=0	E_F^-1 log(E_F)	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Scalar Coefficient	c_g	0.1289	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Scalar Coefficient	c_chi	4.808	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Ratio	ξ_av / ξ_typ	4	1D Anderson insulator model	One-dimensional Anderson insulator model studied for disorde	—
Critical Parameter	superdielectric regime	0 < δ ≤ 1/2	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Critical Parameter	regular insulating regime	δ > 1/2	Su-Schrieffer-Heeger chain with bond disorder	One-dimensional SSH chain with bond disorder / chiral disord	—
Qualitative Property	higher-dimensional disorder-driven response	superdielectric phase emerges	C C	Graphene with vacancies and Kekulé bond distortion used to d Kekulé-distorted graphene reference system discussed as a hi	—

Simulations

Other Computational

Analytical low-energy continuum model and diagrammatic resummation of impurity-scattering diagrams for the 1D Anderson model; numerical evaluation of the quantum metric and localization measures.

Settings

regimeξ_typ >> 1

disorderGaussian noise disorder

validationnull

computed quantitiesquantum metric g, typical localization length ξ_typ, average localization length ξ_av, electric susceptibility χ

Superdielectrics: Disorder-induced perfect screening in insulators

Superdielectrics: Disorder-induced perfect screening in insulators

Superdielectrics: Disorder-induced perfect screening in insulators

Superdielectrics: Disorder-induced perfect screening in insulators

Superdielectrics: Disorder-induced perfect screening in insulators

Superdielectrics: Disorder-induced perfect screening in insulators

Superdielectrics: Disorder-induced perfect screening in insulators

Superdielectrics: Disorder-induced perfect screening in insulators

Samples

One-dimensional Anderson insulator model studied for disorder-averaged quantum metric, localization length, and susceptibility scaling.

One-dimensional SSH chain with bond disorder / chiral disorder studied near criticality.

Graphene with vacancies and Kekulé bond distortion used to demonstrate the superdielectric phase in higher dimensions.

Kekulé-distorted graphene reference system discussed as a higher-dimensional example of the same disorder-driven response.

Materials

Properties

Simulations

Why these are connected

Samples

One-dimensional Anderson insulator model studied for disorder-averaged quantum metric, localization length, and susceptibility scaling.

One-dimensional SSH chain with bond disorder / chiral disorder studied near criticality.

Graphene with vacancies and Kekulé bond distortion used to demonstrate the superdielectric phase in higher dimensions.

Kekulé-distorted graphene reference system discussed as a higher-dimensional example of the same disorder-driven response.

Materials

Properties

Simulations

Why these are connected

Samples

One-dimensional Anderson insulator model studied for disorder-averaged quantum metric, localization length, and susceptibility scaling.

One-dimensional SSH chain with bond disorder / chiral disorder studied near criticality.

Graphene with vacancies and Kekulé bond distortion used to demonstrate the superdielectric phase in higher dimensions.

Kekulé-distorted graphene reference system discussed as a higher-dimensional example of the same disorder-driven response.

Materials

Properties

Simulations

Why these are connected

Samples

One-dimensional Anderson insulator model studied for disorder-averaged quantum metric, localization length, and susceptibility scaling.

One-dimensional SSH chain with bond disorder / chiral disorder studied near criticality.

Graphene with vacancies and Kekulé bond distortion used to demonstrate the superdielectric phase in higher dimensions.

Kekulé-distorted graphene reference system discussed as a higher-dimensional example of the same disorder-driven response.

Materials

Properties

Simulations

Why these are connected