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Helical superconducting black holes
Aristomenis Donos1, Jerome P Gauntlett
1Theoretical Physics Group, Blackett Laboratory, Imperial College, London, United Kingdom.
Physical Review Letters
|September 26, 2012
Summary
We discovered new black hole solutions dual to superconductors with helical order. Their properties at zero temperature reveal unique ground states with emergent scaling symmetry.
Area of Science:
- Theoretical physics
- Condensed matter physics
- String theory
Background:
- Holographic duality connects gravity theories with quantum field theories.
- Superconducting phases exhibit complex ordered states.
Purpose of the Study:
- To construct novel black hole solutions in anti-de Sitter space.
- To explore their holographic duals in four spacetime dimensions.
- To analyze the behavior of helical p-wave superconducting phases.
Main Methods:
- Construction of static, asymptotically five-dimensional anti-de Sitter black hole solutions.
- Application of Bianchi type-VII(0) symmetry.
- Calculation of temperature dependence for helical order pitch.
- Analysis of black hole properties at zero temperature.
Main Results:
- Novel black hole solutions with Bianchi type-VII(0) symmetry were constructed.
- These solutions are holographically dual to superconducting phases with helical p-wave order.
- The temperature dependence of the helical order pitch was precisely calculated.
- At zero temperature, black holes exhibit vanishing entropy and approach domain wall solutions.
Conclusions:
- The study reveals homogenous, nonisotropic dual ground states with emergent scaling symmetry.
- These findings provide insights into the relationship between black hole physics and condensed matter phenomena.
- The constructed solutions offer a new framework for studying holographic superconductors.
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