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Probing non-Fermi-liquid behavior of a composite Fermi liquid via efficient thermal simulations

2025/09/02 by Bin-Bin Chen, Hongyu Lu, Chen, Bin-Bin +3 · 1 citation
Physics and Astronomy · Materials Science · #Quantum, superfluid, helium dynamics #Superconductivity in MgB2 and Alloys #Thermal properties of materials

paper · pdf · doi:10.1103/szcb-fdrs

Abstract

The physics of two-dimensional electron gas in a perpendicular magnetic field, i.e., the quantum Hall system, is remarkably rich. At half filling of the lowest Landau level, it has been predicted that "composite fermions"---emergent quasiparticles consisting of an electron attached to two magnetic flux quanta---experience zero net magnetic field and form a Fermi sea, dubbed composite Fermi liquid (CFL). However, despite its seemingly simple appearance, CFL is a strongly correlated quantum many-body state in disguise, and solving it in a controlled manner is extremely difficult, to the extent that the thermodynamic properties of CFL remain largely unknown. In this work, we perform state-of-the-art thermal tensor network simulations of the ν=1/2 Landau level system and observe low-temperature power-law behaviour of the specific heat, signaling the gapless nature of CFL. More importantly, the power is extracted to be close to 2/3, clearly deviating from the ordinary linear-T behaviour of Fermi liquid, suggesting coupling between the CFs and the dynamical emergent gauge field and thereby revealing the quantum many-body nature of the CFL state.

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