Lectures on holographic methods for condensed matter physics
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These notes are loosely based on lectures given at the CERN Winter School on Supergravity, Strings and Gauge theories, February 2009 and at the IPM String School in Tehran, April 2009. I have focused on a few concrete topics and also on addressing questions that have arisen repeatedly. Background condensed matter physics material is included as motivation and easy reference for the high energy physics community. The discussion of holographic techniques progresses from equilibrium, to transport and to superconductivity.
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Cited by 16 Pith papers
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Non-Relativistic Chern-Simons Supergravity with Torsion
A parameterized family of non-relativistic supergravity theories with torsion is obtained in three dimensions from the semigroup expansion of an N=2 supersymmetric Mielke-Baekler algebra.
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Bubble dynamics and vortex formation in holographic first-order superfluid phase transitions
Holographic simulations of first-order superfluid transitions reveal that three-bubble collisions produce annihilating vortex-antivortex pairs whose lifetime scales logarithmically near critical radii, deviating from ...
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Hofstadter's Butterfly in AdS$_3$ Black Holes
A single-band lattice model on the BTZ cylinder produces a curvature-dependent Harper equation whose spectra show sharpened butterfly fragmentation at weak curvature and suppressed magnetic response near larger horizons.
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Quasinormal Modes of pp-Wave Spacetimes and Zero Temperature Dissipation
Scalar quasinormal modes on pp-wave spacetimes show zero-temperature dissipation for d >= 3 via an irregular singular point acting as absorber, with exact non-dissipative spectrum for d=2 and gapped modes proven by re...
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Analyticity and positivity of Green's functions without Lorentz
Microcausality and positivity constrain Green's functions to be analytic in the forward light-cone with Im(ω G) > 0 in the complex domain for translation-invariant but Lorentz-breaking systems, implying integral const...
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Searching for emergent spacetime in spin glasses
Spectral functions of SYK, p-spin, and SU(M) Heisenberg models show exponential tails in spin-glass phases and quasiparticle families in spin-liquid phases, with a proof that exponential decay blocks detection of bulk...
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Bootstrapping transport in the Drude-Kadanoff-Martin model
Derives lower bound on collective mean free path ℓ = √(τ D) in Drude-Kadanoff-Martin model from Green's function bounds, implying Mott-Ioffe-Regel limit for lattice models.
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Extended Thermodynamics and Renyi Entropy Beyond Fixed Central Charge
A central-charge Rényi entropy is constructed via the CHM map in a grand canonical ensemble with fixed charge, volume, and central charge potential, shown to obey Rényi inequalities and to separate theory space into d...
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Approximate higher-form symmetries and dualities of massive p-forms in the holographic bulk
Develops a holographic realization of approximate higher-form symmetries via massive antisymmetric tensor fields and derives dualities between boundary theories from bulk Hodge dualities, including constraints on curr...
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Poles-zeros duality in semi-holographic Mott insulators
A semi-holographic model couples a fermion to a holographic composite sector, yielding poles-zeros duality in the Green's function that distinguishes metallic and Mott-insulating phases through choice of quantization.
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On prethermal time crystals from semi-holography
Semi-holographic systems with perturbative and holographic sectors exhibit prethermal time crystals through dissipationless modes in hydrodynamic channels plus short-wavelength instabilities that produce inhomogeneiti...
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Dark-Sector Deformations of Holographic Anisotropic Superfluids in Asymptotically Hyperscaling Violation Geometry
Dark-scalar portals in holographic anisotropic superfluids yield negative strip susceptibility at vanishing strength in D=4,5 backgrounds, interpreted as UV decoupling of the portal.
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Near extremal RN-AdS control of holographic Josephson transport
Proposes a holographic SNS junction in Einstein-Maxwell-charged-scalar AdS4 theory where the near-extremal RN-AdS throat supplies an infrared scaling mechanism for the Josephson critical current and phase stiffness af...
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A new rotating axionic AdS$_4$ black hole dressed with a scalar field
A new axionically charged rotating AdS4 black hole solution with scalar field is presented, defined by a structural function and parameters, with thermodynamics derived via Euclidean method satisfying the first law.
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Criticality and Phase Structures of Excited Holographic Superconductors in Nonlinear Electrodynamics
In holographic superconductors with Born-Infeld electrodynamics, excited states become gapless below a critical pressure while the ground state remains gapped, arising from nonlinear screening competing with spatial c...
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Quasinormal modes of black holes and black branes
Quasinormal modes are eigenmodes of dissipative gravitational systems whose spectra encode near-equilibrium transport coefficients in dual quantum field theories and enable tests of general relativity through gravitat...
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