scholarly journals Hydrodynamic magneto-transport in holographic charge density wave states

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Andrea Amoretti ◽  
Daniel Areán ◽  
Daniel K. Brattan ◽  
Luca Martinoia
Keyword(s):  
Black Hole ◽  
Transport Coefficients ◽  
Density Wave ◽  
Thermo Electric ◽  
Hydrodynamic Description ◽  
Dc Conductivities ◽  
Analytic Expressions ◽  
Wave States ◽  
Hole Geometry ◽  
Gauge Gravity

Abstract We employ hydrodynamics and gauge/gravity to study magneto-transport in phases of matter where translations are broken (pseudo-)spontaneously. First we provide a hydrodynamic description of systems where translations are broken homogeneously at nonzero lattice pressure and magnetic field. This allows us to determine analytic expressions for all the relevant transport coefficients. Next we construct holographic models of those phases and determine all the DC conductivities in terms of the dual black hole geometry. Combining the hydrodynamic and holographic descriptions we obtain analytic expression for the AC thermo-electric correlators. These are fixed in terms of the black hole geometry and a pinning frequency we determine numerically. We find an excellent agreement between our hydrodynamic and holographic descriptions and show that the holographic models are good avatars for the study of magneto-phonons.

scholarly journals Some Applications of Holography to Study Strongly Correlated Systems

2018 ◽  
Vol 177 ◽  
pp. 09002
Author(s):  
Neha Bhatnagar
Keyword(s):  
Frequency Response ◽  
Real World ◽  
Condensed Matter ◽  
Transport Coefficients ◽  
Strongly Correlated ◽  
Dc Conductivities ◽  
Correlated Systems ◽  
Strongly Coupled ◽  
Gauge Gravity ◽  
Gravity Duality

In this work, we study the transport coefficients of strongly coupled condensed matter systems using gauge/gravity duality (holography). We consider examples from the real world and evaluate the conductivities from their gravity duals. Adopting the bottom-up approach of holography, we obtain the frequency response of the conductivity for (1+1)-dimensional systems. We also evaluate the DC conductivities for non-relativistic condensed matter systems with hyperscaling violating geometry.

scholarly journals Quartic Horndeski, planar black holes, holographic aspects and universal bounds

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Jose Pablo Figueroa ◽  
Konstantinos Pallikaris
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Lower Bound ◽  
Thermodynamic Properties ◽  
Heat Conductivity ◽  
Transport Coefficients ◽  
Perturbative Approach ◽  
Universal Bounds ◽  
Gauge Gravity ◽  
Black Hole Solutions

Abstract In this work, we consider a specific shift-invariant quartic Horndeski model, deriving new planar black hole solutions with axionic hair. We explore these solutions in terms of their horizon structure and their thermodynamic properties. We use the gauge/gravity dictionary to derive the DC transport coefficients of the holographic dual with the aim of investigating how the new deformation affects the universality of some renown bound proposals. Although most of them are found to hold true, we nevertheless find a highly interesting parametric violation of the heat conductivity-to-temperature lower bound which acquires a dependence on both the scale and the coupling. Finally, using a perturbative approach, a more brutal violation of the viscocity-to-entropy ratio is demonstrated.

scholarly journals Successive destruction of charge density wave states by pressure in LaAgSb2

2021 ◽  
Vol 103 (8) ◽  
Author(s):  
Kazuto Akiba ◽  
Hiroaki Nishimori ◽  
Nobuaki Umeshita ◽  
Tatsuo C. Kobayashi
Keyword(s):  
Charge Density ◽  
Charge Density Wave ◽  
Density Wave ◽  
Wave States

scholarly journals Islands and stretched horizon

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Yoshinori Matsuo
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Hawking Radiation ◽  
Entanglement Entropy ◽  
Total System ◽  
Island Rule ◽  
Asymptotically Flat ◽  
Flat Spacetime ◽  
Ads Spacetime ◽  
Hole Geometry

Abstract Recently it was proposed that the entanglement entropy of the Hawking radiation contains the information of a region including the interior of the event horizon, which is called “island.” In studies of the entanglement entropy of the Hawking radiation, the total system in the black hole geometry is separated into the Hawking radiation and black hole. In this paper, we study the entanglement entropy of the black hole in the asymptotically flat Schwarzschild spacetime. Consistency with the island rule for the Hawking radiation implies that the information of the black hole is located in a different region than the island. We found an instability of the island in the calculation of the entanglement entropy of the region outside a surface near the horizon. This implies that the region contains all the information of the total system and the information of the black hole is localized on the surface. Thus the surface would be interpreted as the stretched horizon. This structure also resembles black holes in the AdS spacetime with an auxiliary flat spacetime, where the information of the black hole is localized at the interface between the AdS spacetime and the flat spacetime.

scholarly journals Uptunneling to de Sitter

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Mehrdad Mirbabayi
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
False Vacuum ◽  
De Sitter ◽  
Dimensional Theory ◽  
Hole Geometry ◽  
Horizon Geometry ◽  
Two Sides ◽  
Extremal Black Holes

Abstract We propose a Euclidean preparation of an asymptotically AdS2 spacetime that contains an inflating dS2 bubble. The setup can be embedded in a four dimensional theory with a Minkowski vacuum and a false vacuum. AdS2 approximates the near horizon geometry of a two-sided near-extremal Reissner-Nordström black hole, and the two sides can connect to the same Minkowski asymptotics to form a topologically nontrivial worm- hole geometry. Likewise, in the false vacuum the near-horizon geometry of near-extremal black holes is approximately dS2 times 2-sphere. We interpret the Euclidean solution as describing the decay of an excitation inside the wormhole to a false vacuum bubble. The result is an inflating region inside a non-traversable asymptotically Minkowski wormhole.

scholarly journals Thermoelectric DC conductivities and Stokes flows on black hole horizons

2015 ◽  
Vol 2015 (10) ◽  
Author(s):  
Elliot Banks ◽  
Aristomenis Donos ◽  
Jerome P. Gauntlett
Keyword(s):  
Black Hole ◽  
Stokes Flows ◽  
Dc Conductivities

A UV complete picture of black hole conforming to low energy effective field theory

2018 ◽  
Vol 33 (36) ◽  
pp. 1850219
Author(s):  
Biplab Paik
Keyword(s):  
Field Theory ◽  
Black Hole ◽  
Effective Field Theory ◽  
Effective Field ◽  
Radiation Process ◽  
Quantum Black Hole ◽  
Classical Geometry ◽  
Characteristic Radius ◽  
Hole Geometry ◽  
Principle Of Causality

In this paper, we propose a UV complete, quantum improved picture of a black hole geometry that conforms to the IR gravity of effective field theory. Our work builds on identifying an effective space-distributed notion of black hole fluid in quantum improved regular Einstein gravity and its theoretical correspondence with a cosmology inspired power law fluctuation of matter. Hence, we make use of phenomenological asymptotic scales of matter fluctuation in static space to consequently derive a UV complete line-element of black hole space–time. In this appraisal, it gets explicit how principle of causality is preserved even while there is an effective spread of black hole fluid across horizon(s). Gravity changes from its conventional classical geometry-state to a quantum masked profile across a hypersurface of characteristic radius [Formula: see text]. We make analyses that probe the newly proposed quantum improved gravity in the contexts of regularity of Einstein fields, complete predictability of Hawking radiation process, and first law of black hole thermodynamics. It emerges that quantum black hole geometry self-regulates a regular timelike core that is abide by every quantum theoretical constraint while being flat around its center.

scholarly journals Quantum channels in quantum gravity

2014 ◽  
Vol 23 (12) ◽  
pp. 1442009 ◽  
Author(s):  
Mukund Rangamani ◽  
Massimilliano Rota
Keyword(s):  
Field Theory ◽  
Black Hole ◽  
Quantum Gravity ◽  
Path Integrals ◽  
Quantum Channels ◽  
Hole Formation ◽  
Integral Formalism ◽  
Final State ◽  
State Boundary ◽  
Gauge Gravity

The black hole final state proposal implements manifest unitarity in the process of black hole formation and evaporation in quantum gravity, by postulating a unique final state boundary condition at the singularity. We argue that this proposal can be embedded in the gauge/gravity context by invoking a path integral formalism inspired by the Schwinger–Keldysh like thermo-field double construction in the dual field theory. This allows us to realize the gravitational quantum channels for information retrieval to specific deformations of the field theory path integrals and opens up new connections between geometry and information theory.

scholarly journals Quantum critical scaling and holographic bound for transport coefficients near Lifshitz points

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Gian Andrea Inkof ◽  
Joachim M. C. Küppers ◽  
Julia M. Link ◽  
Blaise Goutéraux ◽  
Jörg Schmalian
Keyword(s):  
Field Theory ◽  
Transport Coefficients ◽  
Massless Scalar ◽  
Famous Conjecture ◽  
Strongly Coupled ◽  
Spatial Anisotropy ◽  
Anisotropic Scaling ◽  
Geometric Ratio ◽  
Anisotropic Systems ◽  
Gauge Gravity

Abstract The transport behavior of strongly anisotropic systems is significantly richer compared to isotropic ones. The most dramatic spatial anisotropy at a critical point occurs at a Lifshitz transition, found in systems with merging Dirac or Weyl point or near the superconductor-insulator quantum phase transition. Previous work found that in these systems a famous conjecture on the existence of a lower bound for the ratio of a shear viscosity to entropy is violated, and proposed a generalization of this bound for anisotropic systems near charge neutrality involving the electric conductivities. The present study uses scaling arguments and the gauge-gravity duality to confirm the previous analysis of universal bounds in anisotropic Dirac systems. We investigate the strongly-coupled phase of quantum Lifshitz systems in a gravitational Einstein-Maxwell-dilaton model with a linear massless scalar which breaks translations in the boundary dual field theory and sources the anisotropy. The holographic computation demonstrates that some elements of the viscosity tensor can be related to the ratio of the electric conductivities through a simple geometric ratio of elements of the bulk metric evaluated at the horizon, and thus obey a generalized bound, while others violate it. From the IR critical geometry, we express the charge diffusion constants in terms of the square butterfly velocities. The proportionality factor turns out to be direction-independent, linear in the inverse temperature, and related to the critical exponents which parametrize the anisotropic scaling of the dual field theory.

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