Interaction-driven localization in holography
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519 citations
Cites background from "Interaction-driven localization in ..."
...This is similar in spirit to constructions in 5 bulk dimensions where Bianchi VII0 symmetry can be exploited to construct helical black holes through the solution of ODEs rather than PDEs [17]....
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484 citations
Cites background or methods from "Interaction-driven localization in ..."
...32 Spectral weight transfer: Optical conductivity in the metallic (left) and insulating (right) phases of the model from [226]....
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...If the dimension νkL of the lattice deformation in the low energy compressible phase can be continuously tuned at T = 0 from being irrelevant to relevant – for instance by varying the charge density at fixed lattice wavevector – then a metal-insulator transition results [226]....
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...The zero temperature limit of the fully backreacted solution exhibits an emergent anisotropic IR scaling symmetry with entropy density vanishing like s ∼ T 2/3 [226]....
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...Gapless holographic insulators were constructed in [58; 215; 224; 226; 291; 295]....
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...This physics allows for anisotropic systems that are insulating in one direction but conductive in another [226]....
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379 citations
323 citations
Cites background from "Interaction-driven localization in ..."
...(2)For the special case of D= 5, helical lattices can also be constructed by solving ODEs [15], extending [16, 17]....
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...2For the special case of D = 5, helical lattices can also be constructed by solving ODEs [15], extending [16,17]....
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...This is a significant technical simplification since the black holes can be constructed by solving ODEs instead of PDEs2 as in the constructions [15, 18–22]....
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303 citations
Cites background or result from "Interaction-driven localization in ..."
...If the resistivity diverges at low temperatures, we find soft-gapped insulators, which have a translation-invariant metric and no anisotropy contrarily to those of [28, 29]....
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...Another interesting setup could involve helical (Bianchi VII) symmetries, [28]....
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...3), contrarily to hyperscaling cases [14, 22, 28]: this is a side effect of a strong running of the dilaton, happening in regions of the parameter space where the exponents ζ and κλ (or alternatively, the gauge- and axiondilaton couplings) governing the AC conductivity are unbounded....
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...On the other hand, if the resistivity blows up at zero temperature, the system behaves like a soft-gapped insulator (earlier examples of which can be found in [28, 29]), with # > 0 in (1....
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...Note that differently to [28, 29], these insulators are characterized by isotropic gravity duals, which in particular means that lower-dimensional IR boundaries are not a necessary ingredient of holographic insulators (as in [28])....
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References
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