Graphene is neither Relativistic nor Non-Relativistic case: Thermodynamics Aspects
arXiv:2307.05395 · doi:10.1007/s12043-024-02888-y
Abstract
Discovery of electron hydrodynamics in graphene system has opened a new scope of analytic calculations in condensed matter physics, which was traditionally well cultivated in science and engineering as a non-relativistic hydrodynamics and in high energy nuclear and astro physics as relativistic hydrodynamics. Electrons in graphene follow neither non-relativistic nor relativistic hydrodynamics and thermodynamics. Present article has gone through systematic microscopic calculations of thermodynamical quantities like pressure, energy density, etc. of electron-fluid in graphene and compared with corresponding estimations for non-relativistic and ultra-relativistic cases. Identifying the Dirac fluid and Fermi liquid domains, we have sketched the transition of temperature and Fermi energy dependency of electron thermodynamics for graphene and other cases. An equivalent transition for quark matter is also discussed. The most exciting part is the general expression of specific heat, whose Fermi to Dirac fluid domain transition can be realized as a transition from a solid-based to a fluid-based picture. This understanding may be connected to the experimentally observed Wiedemann-Franz Law violation in the Dirac fluid domain of graphene system.
arXiv comment16 pages, 13 figures
References in corpus (26)
- The electronic properties of graphene
- Dirac cones reshaped by interaction effects in suspended graphene
- Negative local resistance caused by viscous electron backflow in graphene
- Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene
- Holography and hydrodynamics: diffusion on stretched horizons
- Evidence for hydrodynamic electron flow in PdCoO
- Hydrodynamics of electrons in graphene
- Imaging viscous flow of the Dirac fluid in graphene
- Measuring Hall Viscosity of Graphene's Electron Fluid
- Visualizing Poiseuille flow of hydrodynamic electrons
- Quantum critical scaling in graphene
- Fluidity Onset in Graphene
- Relativistic hydrodynamics in heavy-ion collisions: general aspects and recent developments
- Scanning Gate Microscopy in a Viscous Electron Fluid
- Departure from the Wiedemann-Franz Law in WP Driven by Mismatch in -square Resistivity Prefactors
- Hydrodynamic approach to two-dimensional electron systems
- Electronic hydrodynamics in graphene
- Anomalous thermodynamics of Coulomb interacting massless Dirac fermions in two spatial dimensions
- Simultaneous imaging of voltage and current density of flowing electrons in two dimensions
- Electron-phonon hydrodynamics
- Hydrodynamic collective modes in graphene
- Turbulent hydrodynamics in strongly correlated Kagome metals
- Electron hydrodynamics of anomalous Hall materials
- Beyond Ohm's law -- Bernoulli effect and streaming in electron hydrodynamics
- Artificial electric field and electron hydrodynamics
- Shear viscosity expression for a graphene system in relaxation time approximation