Quantum phase transitions in holographic models of magnetism and superconductors

By N. Iqbal, Hong Liu, M. Mezei, Qimiao Si. 2010

177 citations recorded by the source corpus.

We study a holographic model realizing an "antiferromagnetic" phase in which a global SU(2) symmetry representing spin is broken down to a U(1) by the presence of a finite electric charge density. This involves the condensation of a neutral scalar field in a charged anti-de Sitter black hole. We observe that the phase transition for both neutral and charged (as in the standard holographic superconductor) order parameters can be driven to zero temperature by a tuning of the UV conformal dimension of the order parameter, resulting in a quantum phase transition of the Berezinskii-Kosterlitz-Thouless-type. We also characterize the antiferromagnetic phase and an externally forced ferromagnetic phase by showing that they contain the expected spin waves with linear and quadratic dispersions, respectively.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/c945c8e9188d8fda575eb475af8d94bfbca5c899

How researchers see this paper

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

In Astronomy and Astrophysics

1. S. Hartnoll
2. S. Sachdev
3. Andrew Lucas
4. M. Rangamani
5. Hong Liu
6. N. Iqbal
7. M. Mezei
8. V. Hubeny

In Nuclear and High Energy Physics

1. S. Hartnoll
2. S. Sachdev
3. Andrew Lucas
4. M. Rangamani
5. Hong Liu
6. M. Mezei
7. V. Hubeny
8. R. Myers

In Statistical and Nonlinear Physics

1. S. Sachdev
2. S. Hartnoll
3. Hong Liu
4. M. Rangamani
5. Andrew Lucas
6. M. Mezei
7. Christopher P. Herzog
8. V. Hubeny

Citations in the corpus

• Holographic Quantum Matter (2016, methodology): “In [416] the zero temperature destruction of holographic superconductivity by a magnetic field was shown to be in this class.”
• Introduction to holographic superconductor models (2015, unknown): “[127, 147].”
• Semi-local quantum liquids (2011, methodology): “We do point out that various holographic constructions do provide us with such a knob [8, 52, 53], often related to an applied magnetic field.”
• Integrating out geometry: holographic Wilsonian RG and the membrane paradigm (2010, background): “, [25, 47]), order parameters close to a phase transition [48].”
• Lectures on holographic non-Fermi liquids and quantum phase transitions (2011, background): “For the first type of instability a quantum critical point occurs when we violate the Breitenlohner-Freedman bound of the AdS2 region at k = 0 [45, 139], i.”
• Analytic holographic superconductor (2010, background): “[17, 18] where the authors make similar statements about the exponents in the mean field case.”