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Holographic stripes.

Moshe Rozali1, Darren Smyth1, Evgeny Sorkin1

  • 1Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada.

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We discovered new black hole solutions with striped order, showing a phase transition in quantum field theory. This reveals unique geometrical properties and a low-temperature pinch-off effect.

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Area of Science:

  • High-energy physics
  • Condensed matter theory
  • Gravitational physics

Background:

  • Spontaneous breaking of translational invariance can lead to ordered phases.
  • Asymptotically anti-de Sitter (AdS) black holes are crucial in holographic duality.
  • Axion coupling can introduce novel phenomena in quantum field theories.

Purpose of the Study:

  • To construct inhomogeneous AdS black hole solutions.
  • To investigate the formation of striped order in boundary field theories.
  • To analyze phase transitions and their dependence on thermodynamic ensembles and parameters.

Main Methods:

  • Construction of asymptotically anti-de Sitter black hole solutions.
  • Analysis of second-order phase transitions in fixed density and fixed chemical potential ensembles.
  • Investigation of the phase structure as a function of temperature, axion coupling, and stripe width.

Main Results:

  • Inhomogeneous black hole solutions exhibiting striped order were constructed.
  • A second-order phase transition was identified for large axion coupling.
  • Striking geometrical features, including a near-horizon topological insulator and a magnetoelectric effect, were found.
  • At low temperatures, the black hole horizon becomes inhomogeneous and pinches off.

Conclusions:

  • The study establishes a connection between spontaneous symmetry breaking in field theory and black hole solutions.
  • The findings highlight the role of axion coupling in driving phase transitions and novel geometrical phenomena.
  • The observed low-temperature behavior suggests complex emergent properties of these black hole solutions.