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We study charge and energy diffusion in simple holographic theories with broken translational symmetry. We find that when the effects of momentum relaxation are very strong the diffusion constants take universal values $D_{c} \sim D_{e}…

High Energy Physics - Theory · Physics 2016-11-09 Mike Blake

We study the transport property of diffusion in a finite translationally invariant quantum subsystem described by a tight-binding Hamiltonian with a single energy band and interacting with its environment by a coupling in terms of…

Statistical Mechanics · Physics 2010-03-01 Massimiliano Esposito , Pierre Gaspard

Weyl semimetal is a solid material with isolated touching points between conduction and valence bands in its Brillouin zone -- Weyl points. Low energy excitations near these points exhibit a linear dispersion and act as relativistic…

Disordered Systems and Neural Networks · Physics 2024-01-24 M. E. Ismagambetov , P. M. Ostrovsky

Based on the supersymmetric quantum mechanical approach, we have systematically studied both the $U\left(1\right)$ gauge anomaly and the diffeomorphism anomaly in Weyl systems with torsion, curvature and external electromagnetic fields.…

Mesoscale and Nanoscale Physics · Physics 2020-03-11 Ze-Min Huang , Bo Han

A modification of the Einstein-Hilbert Lagrangian by introducing a coupling between the Weyl tensor and the stress-energy tensor was proposed to explain flat galactic rotation curves without the exotic (non-baryonic) dark matter (DM) [1].…

Astrophysics of Galaxies · Physics 2026-04-03 Asghar Qadir , Ashmal Shahid , Noraiz Tahir

We study diffusion and butterfly velocity ($v_B$) in two holographic models, linear axion and axion-dilaton model, with a momentum relaxation parameter ($\beta$) at finite density or chemical potential ($\mu$). Axion-dilaton model is…

High Energy Physics - Theory · Physics 2017-04-25 Keun-Young Kim , Chao Niu

In an incoherent metal, transport is controlled by the collective diffusion of energy and charge rather than by quasiparticle or momentum relaxation. We explore the possibility of a universal bound $D \gtrsim \hbar v_F^2/(k_B T)$ on the…

Strongly Correlated Electrons · Physics 2015-06-19 Sean A. Hartnoll

We construct a holographic model with Weyl corrections in five dimensional spacetime. In particular, we introduce a coupling term between the axion fields and the Maxwell field such that the momentum is relaxed even in the probe limit in…

High Energy Physics - Theory · Physics 2017-02-16 Yi Ling , Xiangrong Zheng

Quantum corrections can be important for diffusion and the melting temperature of dense plasmas in compact astrophysical objects, particulary white dwarfs and neutron stars. Typically ions in these systems are modeled classically, but…

Solar and Stellar Astrophysics · Physics 2015-03-19 Justin Mason

We seek a rational route to large-deformation, thermo-mechanical modeling of solids with metrical defects. It assumes the reference and deformed geometries to be of the Weyl type and introduces the Weyl one-form -- an additional set of…

Other Condensed Matter · Physics 2019-04-16 Bensingh Dhas , Arun R Srinivasa , Debasish Roy

In disordered Weyl semimetals, mechanisms of topological origin lead to novel mechanisms of transport, which manifest themselves in unconventional types of electromagnetic response. Prominent examples of transport phenomena particular to…

Mesoscale and Nanoscale Physics · Physics 2016-02-10 Alexander Altland , Dmitry Bagrets

We study the thermoelectric DC conductivities of Horndeski holographic models with momentum dissipation. We compute the butterfly velocity $v_B$ and we discuss the existence of universal bounds on charge and energy diffusivities in the…

High Energy Physics - Theory · Physics 2017-07-24 Matteo Baggioli , Wei-Jia Li

We study whether the relations between the Weyl anomaly, entanglement entropy (EE), and thermal entropy of a two-dimensional (2D) conformal field theory (CFT) extend to 2D boundaries of 3D CFTs, or 2D defects of $D \geq 3$ CFTs. The Weyl…

High Energy Physics - Theory · Physics 2019-07-15 Kristan Jensen , Andy O'Bannon , Brandon Robinson , Ronnie Rodgers

We construct a higher derivative theory involving an axionic field and the Weyl tensor in four dimensional spacetime. Up to the first order of the coupling parameters, the charged black brane solution with momentum dissipation in a…

High Energy Physics - Theory · Physics 2019-02-11 Jian-Pin Wu

We define a particular combination of charge and heat currents that is decoupled with the heat current. This `heat-decoupled' (HD) current can be transported by diffusion at long distances, when some thermo-electric conductivities and…

High Energy Physics - Theory · Physics 2018-05-23 Shao-Feng Wu , Bin Wang , Xian-Hui Ge , Yu Tian

We propose a unified diffusion-mobility relation which quantifies both quantum and classical levels of understanding on electron dynamics in ordered and disordered materials. This attempt overcomes the inability of classical Einstein…

Other Condensed Matter · Physics 2017-05-11 K. Navamani , Swapan K. Pati

In this work, we perform a holographic study to estimate the effect of backreaction on the correlation between two subsystems forming the thermofield double (TFD) state. Each of these subsystems is described as a strongly coupled…

High Energy Physics - Theory · Physics 2023-03-01 Shankhadeep Chakrabortty , Hironori Hoshino , Sanjay Pant , Karunava Sil

We study the ferminoic spectrum with Weyl correction, which exhibits the non-Fermi liquid behavior. Also, we find that both the height of the peak of the fermionic spectrum and the dispersion relation exhibit a nonlinearity with the variety…

High Energy Physics - Theory · Physics 2019-03-27 Jian-Pin Wu , Baicheng Xu , Guoyang Fu

We develop a general framework for studying the equilibrium and non-equilibrium properties of arbitrary networks of Sachdev-Ye-Kitaev clusters coupled to thermal baths. We proceed to apply this technique to the problem of energy transport,…

Strongly Correlated Electrons · Physics 2022-01-04 Cristian Zanoci , Brian Swingle

Thermodynamics and transport are investigated in a holographic QCD model that extends the Einstein--Maxwell--Dilaton framework by incorporating Gauss--Bonnet corrections. Model parameters are fixed using state-of-the-art lattice QCD…

High Energy Physics - Theory · Physics 2026-05-25 ChenWei Tong , Jie Zhou , YuanXu Wang , Rong-Gen Cai , Song He , Li Li