Strongly correlated two-dimensional plasma explored from entropy measurements

Abstract

Charged plasma and Fermi liquid are two distinct states of electronic matter intrinsic to dilute two-dimensional electron systems at elevated and low temperatures, respectively. Probing their thermodynamics represents challenge because of lacking an adequate technique. Here we report thermodynamic method to measure the entropy per electron in gated structures. Our technique appears to be three orders of magnitude superior in sensitivity to the ac calorimetry, allowing entropy measurements with only $10^8$ electrons. This enables us to investigate the correlated plasma regime, previously inaccessible experimentally in two-dimensional electron systems in semiconductors. In experiments with clean two-dimensional electron system in Si-based structures we traced entropy evolution from the plasma to Fermi-liquid regime by varying electron density. We reveal that the correlated plasma regime can be mapped onto the ordinary non-degenerate Fermi gas with an interaction-enhanced temperature dependent effective mass. Our method opens up new horizons in studies of low-dimensional electron systems.

5 pages 3 figures + Supplementary Information

References in corpus (10)

• Spin-independent origin of the strongly enhanced effective mass in a dilute 2D electron system
• Coulomb Correlations and the Wigner-Mott Transition
• Thermodynamic density of states of two-dimensional GaAs systems near the apparent metal-insulator transition
• Spin-Droplet State of an Interacting 2D Electron System
• Nonlinear screening and percolative transition in a two-dimensional electron liquid
• Low-Temperature Collapse of Electron Localisation in Two Dimensions
• Probing Electron Interactions in a Two-Dimensional System by Quantum Magneto-Oscillations
• Thermodynamic magnetization of two-dimensional electron gas measured over wide range of densities
• Temperature-dependent Drude transport in a two-dimensional electron gas
• Thermodynamic magnetization of a strongly interacting two-dimensional system

Cited by in corpus (34)

• Entropic evidence for a Pomeranchuk effect in magic angle graphene
• Detecting the universal fractional entropy of Majorana zero modes
• Gate-tunable heavy fermion quantum criticality in a moiré Kondo lattice
• Quantization of entropy in a quasi-two-dimensional electron gas
• Novel Energy Scale in the Interacting 2D Electron System Evidenced from Transport and Thermodynamic Measurements
• Metal-insulator transition and low-density phases in a strongly-interacting two-dimensional electron system
• Concise guide for electronic topological transitions
• Entropy spikes as a signature of Lifshitz transitions in the Dirac materials
• Detection of topological phase transitions through entropy measurements: the case of germanene
• $m^{\ast }$ of two-dimensional electron gas: a neural canonical transformation study
• Two-dimensional system of strongly interacting electrons in silicon (100) structures
• The Nernst effect in Corbino geometry
• Entropy per particle spikes in the transition metal dichalcogenides
• Spin independence of the strongly enhanced effective mass in ultra-clean SiGe/Si/SiGe two-dimensional electron system
• Optical readout of the chemical potential of two-dimensional electrons
• Entropy Signatures of Topological Phase Transitions
• Collective depinning and sliding of a quantum Wigner solid in a 2D electron system
• Measurements of the magnetic properties of conduction electrons
• Measuring topological entanglement entropy using Maxwell relations
• Magnetocapacitance oscillations and thermoelectric effect in two-dimensional electron gas irradiated by microwaves
• Shear Bernstein modes in a two-dimensional electron liquid
• Highly correlated two-dimensional viscous electron fluid in moderate magnetic fields
• Spin effect on the low-temperature resistivity maximum in a strongly interacting 2D electron system
• Differential entropy per particle as a probe of van Hove singularities and flat bands
• Band Flattening and Landau Level Merging in Strongly-Correlated Two-Dimensional Electron Systems
• Density of states measurements for heavy subband of holes in HgTe quantum wells
• Detector-tuned overlap catastrophe in quantum dots
• Two-loop renormalization of the Finkel'stein theory: The specific heat
• Density of states and differential entropy in Dirac materials in crossed magnetic and in-plane electric fields
• Phase Separation in Two-Dimensional Electron Systems: Experimental View
• Magnetic-field-driven redistribution between extended and localized electronic states in high-mobility Si MOSFETs at low temperatures
• Entropy and Seebeck signals meet on the edges
• Ultrafast many-body dynamics of dense Rydberg gases and ultracold plasma
• Stoner-type theory of Magnetism in Silicon MOSFETs