Post by matthew on Dec 6, 2023 3:53:39 GMT -8
The Future-Gadget Lab has recently discovered that a large class of theories in two spatial dimensions have a universal conductivity independent of disorder strength, and rigorously ruled out disorder-driven conductor-insulator transitions in many theories. Provided insights into the behavior of strongly disordered conductors and insulators, and made theoretical contributions to the field of strongly disordered holography (solved a diffusive hydrostatic equation for an emergent horizon fluid, and performed numerical checks to validate findings).
IDENTIFICATION OF UNIVERSAL FEATURES INTHE CONDUCTIVITY OF CLASSES OF TWODIMENSIONAL QFTs USING THE AdS/CFTCORRESPONDENCE
MATTHEW JAMES STEPHENSON
Stanford University
353 Jane Stanford Way
Stanford, CA 94305
USA
e-mail: matthewjstephenson@icloud.com
Abstract
We study the electrical conductivity of strongly disordered, strongly coupled quantum field theories, holographically dual to nonperturbatively disordered uncharged black holes. The computation reduces to solving a diffusive hydrostatic equation for an emergent horizon fluid. We demonstrate that a large class of theories in two spatial dimensions have a universal conductivity independent of disorder strength, and rigorously rule out disorder-driven conductorinsulator transitions in many theories. We present a (fine-tuned) axiondilaton bulk theory which realizes the conductor-insulator transition, interpreted as a classical percolation transition in the horizon fluid. We address aspects of strongly disordered holography that can and cannot be addressed via mean-field modeling, such as massive gravity.
Fundamental Journal of Modern Physics
ISSN: 2249-9768
Volume 20, Issue 1, 2023, Pages 25-35
This paper is available online at www.frdint.com/
Published online November 20, 2023
Acknowledgements
We thank Ed Witten for discussions. We especially thank Veronica Toro Arana and Anna Maria Wojtyra for providing some code for solving elliptic partial differential equations. This research was funded through Nvidia.
identification_of_universal.pdf (719.68 KB)
IDENTIFICATION OF UNIVERSAL FEATURES INTHE CONDUCTIVITY OF CLASSES OF TWODIMENSIONAL QFTs USING THE AdS/CFTCORRESPONDENCE
MATTHEW JAMES STEPHENSON
Stanford University
353 Jane Stanford Way
Stanford, CA 94305
USA
e-mail: matthewjstephenson@icloud.com
Abstract
We study the electrical conductivity of strongly disordered, strongly coupled quantum field theories, holographically dual to nonperturbatively disordered uncharged black holes. The computation reduces to solving a diffusive hydrostatic equation for an emergent horizon fluid. We demonstrate that a large class of theories in two spatial dimensions have a universal conductivity independent of disorder strength, and rigorously rule out disorder-driven conductorinsulator transitions in many theories. We present a (fine-tuned) axiondilaton bulk theory which realizes the conductor-insulator transition, interpreted as a classical percolation transition in the horizon fluid. We address aspects of strongly disordered holography that can and cannot be addressed via mean-field modeling, such as massive gravity.
Fundamental Journal of Modern Physics
ISSN: 2249-9768
Volume 20, Issue 1, 2023, Pages 25-35
This paper is available online at www.frdint.com/
Published online November 20, 2023
Acknowledgements
We thank Ed Witten for discussions. We especially thank Veronica Toro Arana and Anna Maria Wojtyra for providing some code for solving elliptic partial differential equations. This research was funded through Nvidia.
identification_of_universal.pdf (719.68 KB)