Gravity Dual of a Quantum Hall Plateau Transition
نویسندگان
چکیده
We show how to model the transition between distinct quantum Hall plateaus in terms of D-branes in string theory. A low energy theory of 2 + 1 dimensional fermions is obtained by considering the D3-D7 system, and the plateau transition corresponds to moving the branes through one another. We study the transition at strong coupling using gauge/gravity duality and the probe approximation. Strong coupling leads to a novel kind of plateau transition: at low temperatures the transition remains discontinuous due to the effects of dynamical symmetry breaking and mass generation, and at high temperatures is only partially smoothed out.
منابع مشابه
Observation of the Zero Hall Plateau in a Quantum Anomalous Hall Insulator.
We report experimental investigations on the quantum phase transition between the two opposite Hall plateaus of a quantum anomalous Hall insulator. We observe a well-defined plateau with zero Hall conductivity over a range of magnetic field around coercivity when the magnetization reverses. The features of the zero Hall plateau are shown to be closely related to that of the quantum anomalous Ha...
متن کاملThe phase transition of corrected black hole with f(R) gravity
In this letter, we consider static black hole in f(R) gravity.We take advantage from corrected entropy and temperature and investigate such black hole. Finally, we study the $ P - V $ critically and phase transition of corrected black hole with respect to entropy and temperature. Here also, we obtain the heat capacity for the static black hole in $ f(R) $ gravity. This calculation help us...
متن کاملConductance fluctuations at the quantum Hall plateau transition
We analyze the conductance fluctuations observed in the quantum Hall regime for a bulk two-dimensional electron system in a Corbino geometry. We find that characteristics like the power spectral density and the temperature dependence agree well with simple expectations for universal conductance fluctuations in metals, while the observed amplitude is reduced. In addition, the dephasing length LF...
متن کاملQuantum-Hall plateau-plateau transition in top-gated epitaxial graphene grown on SiC (0001)
Related Articles Anomalous Hall effect in NiPt thin films J. Appl. Phys. 110, 033909 (2011) Insulator-quantum Hall conductor transition in high electron density gated InGaAs/InAlAs quantum wells J. Appl. Phys. 108, 063701 (2010) Theory of quantum phase transitions in dimerized antiferromagnets Low Temp. Phys. 36, 665 (2010) Seeing emergent phases in quantum Hall double layers J. Appl. Phys. 101...
متن کاملA Unified Picture Of The Scaling And Non-Scaling Behavior In Quantum Hall Plateau Transitions
A unified picture of the scaling and non-scaling behavior in quantum Hall plateau transitions is proposed. We show that the interband mixing of states with opposite chiralities and the degrees of the inter-Landau-band overlap are the key ingredients to the problem. We find that the mixing of states with opposite chiralities tends to delocalize electronic states, leading to the formation of exte...
متن کامل