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We compute parameters characterizing many-body quantum chaos for a critical Fermi surface without quasiparticle excitations. We examine a theory of $N$ species of fermions at non-zero density coupled to a $U(1)$ gauge field in two spatial…

Strongly Correlated Electrons · Physics 2017-03-14 Aavishkar A. Patel , Subir Sachdev

We study scrambling, an avatar of chaos, in a weakly interacting metal in the presence of random potential disorder. It is well known that charge and heat spread via diffusion in such an interacting disordered metal. In contrast, we show…

Strongly Correlated Electrons · Physics 2017-09-15 Aavishkar A. Patel , Debanjan Chowdhury , Subir Sachdev , Brian Swingle

Analyses of thermal diffusivity data on complex insulators and on strongly correlated electron systems hosted in similar complex crystal structures suggest that quantum chaos is a good description for thermalization processes in these…

Strongly Correlated Electrons · Physics 2020-01-14 Jiecheng Zhang , Erik D. Kountz , Kamran Behnia , Aharon Kapitulnik

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

The strange metal behavior, usually characterized by a linear-in-temperature (T) resistivity, is a still unsolved mystery in solid-state physics. Usually it is associated with the proximity to a quantum critical point (a second order…

Strongly Correlated Electrons · Physics 2022-05-24 M. Grilli , C. Di Castro , G. Seibold , S. Caprara

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 thermal transport in strongly disordered, strongly interacting quantum field theories without quasiparticles using gauge-gravity duality. We analyze linear perturbations of black holes with broken translational symmetry in…

High Energy Physics - Theory · Physics 2016-03-30 Sašo Grozdanov , Andrew Lucas , Koenraad Schalm

We study properties of thermal transport and quantum many-body chaos in a lattice model with $N\to\infty$ oscillators per site, coupled by strong anharmonic terms. We first consider a model with only optical phonons. We find that the…

Strongly Correlated Electrons · Physics 2021-11-12 Evyatar Tulipman , Erez Berg

By using a holographic method we study a relation between the thermal diffusivity ($D_T$) and two quantum chaotic properties, Lyapunov time ($\tau_L$) and butterfly velocity ($v_B$) in strongly correlated systems. It has been shown that…

High Energy Physics - Theory · Physics 2024-07-01 Dujin Ahn , Yongjun Ahn , Hyun-Sik Jeong , Keun-Young Kim , Wei-Jia Li , Chao Niu

We calculate the thermal diffusivity $D = \kappa/c_{\rho}$ and butterfly velocity $v_B$ in holographic models that flow to AdS$_2 \times R^{d}$ fixed points in the infra-red. We show that both these quantities are governed by the same…

High Energy Physics - Theory · Physics 2017-03-14 Mike Blake , Aristomenis Donos

We investigate properties of holographic strange metals in $p+2$-dimensions, generalizing the analysis performed in arXiv:0912.1061. The bulk spacetime is $p+2$-dimensional Lifshitz black hole, while the role of charge carriers is played by…

High Energy Physics - Theory · Physics 2010-11-11 Bum-Hoon Lee , Da-Wei Pang

Using holographic methods in the Einstein-Maxwell-dilaton-axion (EMDA) theory, it was conjectured that the thermal diffusion in a strongly coupled metal without quasi-particles saturates an universal lower bound that is associated with the…

High Energy Physics - Theory · Physics 2018-04-24 Wei-Jia Li , Peng Liu , Jian-Pin Wu

We study correlations, transport and chaos in a Heisenberg magnet as a classical model many-body system. By varying temperature and dimensionality, we can tune between settings with and without symmetry breaking and accompanying collective…

Statistical Mechanics · Physics 2021-05-12 Thomas Bilitewski , Subhro Bhattacharjee , Roderich Moessner

We study electrical transport in a strongly coupled strange metal in two spatial dimensions at finite temperature and charge density, holographically dual to Einstein-Maxwell theory in an asymptotically $\mathrm{AdS}_4$ spacetime, with…

High Energy Physics - Theory · Physics 2015-12-02 Sašo Grozdanov , Andrew Lucas , Subir Sachdev , Koenraad Schalm

Theory of low temperature kinetic phenomena in metals without inversion center is developed. Kinetic properties of a metal without inversion center are described by four kinetic equations for the diagonal (intra-band) and the off-diagonal…

Strongly Correlated Electrons · Physics 2020-05-19 V. P. Mineev

Periodically driven quantum systems manifest various non-equilibrium features which are absent at equilibrium. For example, discrete time-translation symmetry can be broken in periodically driven quantum systems leading to an exotic phase…

Quantum Physics · Physics 2020-04-09 C. M. Dai , Z. C. Gu , X. X. Yi

Chaos is an important characterization of classical dynamical systems. How is chaos linked to the long-time dynamics of collective modes across phases and phase transitions? We address this by studying chaos across Ising and…

Statistical Mechanics · Physics 2021-11-10 Sibaram Ruidas , Sumilan Banerjee

We study thermal and electrical transport in metals and superconductors near a quantum phase transition where antiferromagnetic order disappears. The same theory can also be applied to quantum phase transitions involving the loss of certain…

Strongly Correlated Electrons · Physics 2017-08-07 Shubhayu Chatterjee , Subir Sachdev , Andreas Eberlein

Since the mid-eighties there has been an accumulation of metallic materials whose thermodynamic and transport properties differ significantly from those predicted by Fermi liquid theory. Examples of these so-called non-Fermi liquids include…

High Energy Physics - Theory · Physics 2010-03-10 Thomas Faulkner , Nabil Iqbal , Hong Liu , John McGreevy , David Vegh

Chaotic systems exhibit rich quantum dynamical behaviors ranging from dynamical localization to normal diffusion to ballistic motion. Dynamical localization and normal diffusion simulate electron motion in an impure crystal with a vanishing…

Chaotic Dynamics · Physics 2015-12-31 Ping Fang , Chushun Tian , Jiao Wang
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