Fluctuational Anomalous Hall and Nernst Effects in Superconductors
- URL: http://arxiv.org/abs/2002.08364v3
- Date: Wed, 8 Apr 2020 21:24:54 GMT
- Title: Fluctuational Anomalous Hall and Nernst Effects in Superconductors
- Authors: Songci Li, Alex Levchenko
- Abstract summary: We develop kinetic theory of the anomalous Hall and Nernst effects in superconductors induced by fluctuations in the vicinity of the critical transition temperature.
asymmetric skew-scattering due to spin-orbit interaction gives rise to a new anomalous Hall conductance promoted by Maki-Thompson interference and density of states fluctuational effects.
The anomalous Nernst effect is found due to a special nonlinear Aslamazov-Larkin term from the quantum-crossing of interacting fluctuations in a Hikami box with the skew-scattering process.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In this work we develop microscopic kinetic theory of the anomalous Hall and
Nernst effects in superconductors induced by fluctuations in the vicinity of
the critical transition temperature. The technical analysis is carried out
within the Matsubara diagrammatic technique and linear response Kubo formula
with disorder averaging and an analytical continuation. It is shown that
asymmetric skew-scattering due to spin-orbit interaction gives rise to a new
anomalous Hall conductance promoted by Maki-Thompson interference and density
of states fluctuational effects. The side-jump mechanism of the anomalous Hall
effect is present only in the density of states contributions. The anomalous
Nernst effect is found due to a special nonlinear Aslamazov-Larkin term from
the quantum-crossing of interacting fluctuations in a Hikami box with the
skew-scattering process. In addition to calculations in the weak-coupling BCS
model we also sketch an approach for the account of fluctuational transport
effects in the strong-coupling limit. In particular we explore an example of
how Keldysh version of the Eliashberg theory can in principle be constructed
and estimate fluctuation-induced conductivity within conventional
electron-phonon coupling scenario. These ideas may pave the way for further
developments of strong coupling theories in applications to fluctuations in
unconventional superconductors and anomalous transport responses in particular.
Related papers
- Directional superradiance in a driven ultracold atomic gas in free-space [0.0]
We study a dense ensemble illuminated by a strong coherent drive while interacting via dipole-dipole interactions.
Although the steady-state features some similarities to the reported superradiant to normal non-induced transition, we observe significant qualitative and quantitative differences.
We develop a simple theoretical model that explains the scaling properties by accounting for interaction-equilibrium inhomogeneous effects and spontaneous emission.
arXiv Detail & Related papers (2024-03-22T18:14:44Z) - Nonstandard Hubbard model and electron pairing [0.0]
We present a non-standard Hubbard model applicable to arbitrary single-particle potential profiles and inter-particle interactions.
Our investigation demonstrates that long-range inter-particle interactions can induce a novel mechanism for repulsive particle pairing.
These findings carry significant implications for various phenomena, including the formation of flat bands, the emergence of superconductivity in twisted bilayer graphene, and the possibility of a novel metal-insulator transition.
arXiv Detail & Related papers (2023-07-31T15:01:16Z) - Fragmented superconductivity in the Hubbard model as solitons in
Ginzburg-Landau theory [58.720142291102135]
Superconductivity and charge density waves are observed in close vicinity in strongly correlated materials.
We investigate the nature of such an intertwined state of matter stabilized in the phase diagram of the elementary $t$-$tprime$-$U$ Hubbard model.
We provide conclusive evidence that the macroscopic wave functions of the superconducting fragments are well-described by soliton solutions of a Ginzburg-Landau equation.
arXiv Detail & Related papers (2023-07-21T18:00:07Z) - Quantum Effects on the Synchronization Dynamics of the Kuramoto Model [62.997667081978825]
We show that quantum fluctuations hinder the emergence of synchronization, albeit not entirely suppressing it.
We derive an analytical expression for the critical coupling, highlighting its dependence on the model parameters.
arXiv Detail & Related papers (2023-06-16T16:41:16Z) - Reminiscence of classical chaos in driven transmons [117.851325578242]
We show that even off-resonant drives can cause strong modifications to the structure of the transmon spectrum rendering a large part of it chaotic.
Results lead to a photon number threshold characterizing the appearance of chaos-induced quantum demolition effects.
arXiv Detail & Related papers (2022-07-19T16:04:46Z) - Tuning long-range fermion-mediated interactions in cold-atom quantum
simulators [68.8204255655161]
Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior.
Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
arXiv Detail & Related papers (2022-03-31T13:32:12Z) - Nonperturbative Waveguide Quantum Electrodynamics [0.0]
We study in and out of equilibrium properties of waveguide quantum electrodynamics.
We uncover several surprising features ranging from symmetry-protected many-body bound states in the continuum to strong renormalization of the effective mass.
Results are relevant to experiments in superconducting qubits interacting with microwave resonators or coupled atoms to photonic crystals.
arXiv Detail & Related papers (2021-05-18T21:15:57Z) - Quantum kinetics of anomalous and nonlinear Hall effects in topological
semimetals [0.0]
We present a systematic derivation of the semiclassical Boltzmann equation for band structures with the finite Berry curvature.
In particular, this formulation is suitable for the study of nonlinear Hall effect and photogalvanic phenomena.
arXiv Detail & Related papers (2021-02-10T19:00:02Z) - Probing the coherence of solid-state qubits at avoided crossings [51.805457601192614]
We study the quantum dynamics of paramagnetic defects interacting with a nuclear spin bath at avoided crossings.
The proposed theoretical approach paves the way to designing the coherence properties of spin qubits from first principles.
arXiv Detail & Related papers (2020-10-21T15:37:59Z) - Probing eigenstate thermalization in quantum simulators via
fluctuation-dissipation relations [77.34726150561087]
The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems.
Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations.
Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
arXiv Detail & Related papers (2020-07-20T18:00:02Z) - Pairing superbunching with compounded non-linearity in a resonant
transition [0.0]
We explore the role of quantum fluctuations on the behavior of the system.
The emphasis is on fields with super-Poissonian statistics manifested in photon bunching, with the case of squeezed vacuum radiation serving as a prototype of superbuching.
arXiv Detail & Related papers (2020-03-12T11:48:35Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.