Quantum electron liquid and its possible phase transition

2021 ◽  
Author(s):  
Sunghun Kim ◽  
Joonho Bang ◽  
Chan-young Lim ◽  
Seung Yong Lee ◽  
Jounghoon Hyun ◽  
...  
Keyword(s):  
Fermi Liquid ◽  
Degrees Of Freedom ◽  
Liquid Crystalline ◽  
Electron Interaction ◽  
High Electron ◽  
Electron Systems ◽  
Atomic Orbitals ◽  
Quantum Electron ◽  
Dependent Measurement ◽  
Band Deformation

Abstract Pure quantum electrons render intriguing correlated electronic phases by virtue of quantum fluctuations in addition to an exclusive electron-electron interaction. To realise such quantum electron systems, a key ingredient is dense electrons decoupled from other degrees of freedom. Here, we report the discovery of a pure quantum electron liquid, which spreads up to ~ 3 Å in the vacuum on the surface of electride crystal. An extremely high electron density and its scant hybridization with underneath atomic orbitals evidence quantum and pure nature of electrons, exhibiting polarized liquid phase demonstrated by spin-dependent measurement. Further, upon reducing the density, the dynamics of quantum electrons drastically changes to that of non-Fermi liquid along with an anomalous band deformation, manifesting a possible transition to a hexatic liquid crystalline phase. Our findings cultivate the frontier of quantum electron systems, which serve as an ideal platform for exploring the correlated electronic phases in a pure manner.

scholarly journals A cascade of phase transitions in an orbitally mixed half-filled Landau level

2018 ◽  
Vol 4 (9) ◽  
pp. eaat8742 ◽  
Author(s):  
Joseph Falson ◽  
Daniela Tabrea ◽  
Ding Zhang ◽  
Inti Sodemann ◽  
Yusuke Kozuka ◽  
...  
Keyword(s):  
Fermi Liquid ◽  
Degrees Of Freedom ◽  
Quantum Hall ◽  
Landau Levels ◽  
Electron Systems ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Numbers ◽  
Near Degeneracy ◽  
Excellent Reproducibility

Half-filled Landau levels host an emergent Fermi liquid that displays instability toward pairing, culminating in a gapped even-denominator fractional quantum Hall ground state. While this pairing may be probed by tuning the polarization of carriers in competing orbital and spin degrees of freedom, sufficiently high quality platforms offering such tunability remain few. We explore the ground states at filling factor ν = 5/2 in ZnO-based two-dimensional electron systems through a forced intersection of opposing spin branches of Landau levels taking quantum numbers N = 1 and 0. We reveal a cascade of phases with distinct magnetotransport features including a gapped phase polarized in the N = 1 level and a compressible phase in N = 0, along with an unexpected Fermi liquid, a second gapped, and a strongly anisotropic nematic-like phase at intermediate polarizations when the levels are near degeneracy. The phase diagram is produced by analyzing the proximity of the intersecting levels and highlights the excellent reproducibility and controllability that ZnO offers for exploring exotic fractionalized electronic phases.

scholarly journals How to Calculate Condensed Matter Electronic Structure Based on Multi-Electron Atom Semi-Classical Model

2021 ◽  
Vol 6 (4) ◽  
pp. 46
Author(s):  
Levan Chkhartishvili
Keyword(s):  
Electronic Structure ◽  
Condensed Matter ◽  
Classical Model ◽  
Preliminary Test ◽  
Electron Energy Spectrum ◽  
Electronic Systems ◽  
Electron Systems ◽  
Atomic Orbitals ◽  
Quantum Electron ◽  
The Matrix

Atoms are proved to be semi-classical electronic systems in the sense of closeness of their exact quantum electron energy spectrum with that calculated within semi-classical approximation. Introduced semi-classical model of atom represents the wave functions of bounded in atom electrons in form of hydrogen-like atomic orbitals with explicitly defined effective charge numbers. The hydrogen-like electron orbitals of constituting condensed matter atoms are used to calculate the matrix elements of the secular equation determining the condensed matter electronic structure in the linear-combination-of-atomic-orbitals (LCAO) approach. Preliminary test calculations are conducted for boron B atom and diboron B2 molecule electron systems. 

scholarly journals Dynamics of energy transport and entropy production in ac-driven quantum electron systems

2016 ◽  
Vol 94 (3) ◽  
Author(s):  
María Florencia Ludovico ◽  
Michael Moskalets ◽  
David Sánchez ◽  
Liliana Arrachea
Keyword(s):  
Entropy Production ◽  
Energy Transport ◽  
Electron Systems ◽  
Quantum Electron

Orthogonalized linear combinations of atomic orbitals. III. Extension tof-electron systems

1985 ◽  
Vol 32 (12) ◽  
pp. 8377-8380 ◽  
Author(s):  
Y. P. Li ◽  
Zong-Quan Gu ◽  
W. Y. Ching
Keyword(s):  
Electron Systems ◽  
Linear Combinations ◽  
Atomic Orbitals

scholarly journals LUTTINGER LIQUID, SINGULAR INTERACTION AND QUANTUM CRITICALITY IN CUPRATE MATERIALS

2012 ◽  
Vol 26 (22) ◽  
pp. 1244003
Author(s):  
C. DI CASTRO ◽  
S. CAPRARA
Keyword(s):  
Fermi Liquid ◽  
High Temperature Superconductors ◽  
Effective Interaction ◽  
Luttinger Liquid ◽  
Metallic Phase ◽  
Quantum Criticality ◽  
Electron Interaction ◽  
Research Activity ◽  
Liquid Behavior ◽  
Fermi Liquid Behavior

With particular reference to the role of the renormalization group (RG) approach and Ward identities (WI's), we start by recalling some old features of the one-dimensional Luttinger liquid as the prototype of non-Fermi-liquid behavior. Its dimensional crossover to the Landau normal Fermi liquid implies that a non-Fermi liquid, as, e.g., the normal phase of the cuprate high temperature superconductors, can be maintained in d>1 only in the presence of a sufficiently singular effective interaction among the charge carriers. This is the case when, nearby an instability, the interaction is mediated by critical fluctuations. We are then led to introduce the specific case of superconductivity in cuprates as an example of avoided quantum criticality. We will disentangle the fluctuations which act as mediators of singular electron–electron interaction, enlightening the possible order competing with superconductivity and a mechanism for the non-Fermi-liquid behavior of the metallic phase. This paper is not meant to be a comprehensive review. Many important contributions will not be considered. We will also avoid using extensive technicalities and making full calculations for which we refer to the original papers and to the many good available reviews. We will here only follow one line of reasoning which guided our research activity in this field.

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