Quantum critical lines in holographic phases with (un)broken symmetry

By Blaise Goutéraux, E. Kiritsis. 2012

143 citations recorded by the source corpus.

A bstractAll possible scaling IR asymptotics in homogeneous, translation invariant holographic phases preserving or breaking a U(1) symmetry in the IR are classified. Scale invariant geometries where the scalar extremizes its effective potential are distinguished from hyperscaling violating geometries where the scalar runs logarithmically. It is shown that the general critical saddle-point solutions are characterized by three critical exponents (θ, z, ζ). Both exact solutions as well as leading behaviors are exhibited. Using them, neutral or charged geometries realizing both fractionalized or cohesive phases are found. The generic global IR picture emerging is that of quantum critical lines, separated by quantum critical points which correspond to the scale invariant solutions with a constant scalar.

Subfields: Atomic and Molecular Physics, and Optics, Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/da67ba4f58bd0f98d80fd6860da333194562e687

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Blaise Goutéraux
2. S. Hartnoll
3. S. Sachdev
4. Andrew Lucas
5. E. Kiritsis
6. Marika Taylor
7. J. Hartong
8. N. Obers

In Geometry and Topology

1. Marika Taylor
2. Blaise Goutéraux
3. S. Sachdev
4. E. Kiritsis
5. S. Hartnoll
6. Andrew Lucas
7. J. Hartong
8. Kostas Skenderis

In Nuclear and High Energy Physics

1. J. Hartong
2. Marika Taylor
3. E. Kiritsis
4. Blaise Goutéraux
5. S. Hartnoll
6. N. Obers
7. S. Sachdev
8. Andrew Lucas

Citations in the corpus

• Holographic metals and insulators with helical symmetry (2014, unknown): “To connect with previous studies of IR fixed points in EMD theories [13, 14, 52, 67, 68], note that here it is not a stress-tensor contribution from the matter fields which gives a subleading term in the IR, but rather a term coming from the metric via the Einstein tensor which does not take the for”
• Lifshitz holography (2015, methodology): “For example, in [22], generic actions of the type (35) were explored, and scale invariant solutions were classified.”
• Lifshitz space–times for Schrödinger holography (2014, background): “1), admits solutions with another exponent (denoted by ζ in [32] and by α in [33]) turned on that controls the logarithmic running.”
• Torsional Newton–Cartan geometry and the Schrödinger algebra (2014, background): “More generally one can add another exponent [52, 53] related to the logarithmic running of the dilaton on top of the critical exponent z and still have a Lifshitz geometry.”
• Charge transport in holography with momentum dissipation (2014, methodology): “It would be interesting to explore if such a condition can be understood in terms of generalized dimensional reductions [4, 23, 30].”
• Holographic Quantum Matter (2016, background): “Additional models which exhibit this anomalous scaling include Proca bulk actions, in which the ‘Maxwell’ field in the bulk has a mass [294].”