## Two-Dimensional Coulomb Liquids and SolidsThis book is about quantum phenomena in two-dimensional (2D) electron systems with extremely strong internal interactions. The central objects of interest are Coulomb liquids, in which the average Coulomb interaction en ergy per electron is much higher than the mean kinetic energy, and Wigner solids. The main themes are quantum transport in two dimensions and the dynamics of highly correlated electrons in the regime of strong coupling with medium excitations. In typical solids, the mutual interaction energy of charge carriers is of the same order of magnitude as their kinetic energy, and the Fermi-liquid ap proach appears to be quite satisfactory. However, in 1970, a broad research began to investigate a remarkable model 2D electron system formed on the free surface of superfluid helium. In this system, complementary to the 2D electronic systems formed in semiconductor interface structures, the ratio of the mean Coulomb energy of electrons to their kinetic energy can reach ap proximately a hundred before it undergoes the Wigner solid (WS) transition. Under such conditions, the Fermi-liquid description is doubtful and one needs to introduce alternative treatments. Similar interface electron systems form on other cryogenic substrates like neon and solid hydrogen. |

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### Contents

1 | |

Strongly Correlated Coulomb Liquid | 65 |

Quantum Transport Framework | 115 |

Unconventional Hall Effect | 149 |

Quantum Cyclotron Resonance | 183 |

Interface Polarons 213 | 212 |

Wigner Solid I Dynamics on Rigid and Soft Interfaces | 237 |

Wigner Solid II Transport Properties | 293 |

342 | |

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### Common terms and phrases

2D electron system approximation asymptote average collision broadening collision rate condition continuous curve correlation function Coulomb liquid coupling constant CR absorption CR linewidth dashed curve decrease described discussed in Sect displacement driving electric field effective collision frequency electron density electron DSF electron gas electron liquid electron mobility electron scattering electron-ripplon equation evaluation factor Fermi Fermi liquid fluctuational electric field Gaussian Green's function helium film helium surface highly correlated electrons holding electric field holding field increase interaction potential interface kinetic Landau levels limit linear liquid helium long-wavelength low temperatures magnetic field magnetoconductivity mobility modes Monarkha nondegenerate nonlinear parameter perturbation phonon Phys plasmon polaron properties quasi-particle reference frame resonance resonance structure result ripplon SCBA self-consistent shown in Fig single-electron strong coupling structure substrate superfluid surface dimples term theory transition vapor atoms vector veff velocity wave function wave number wave vector Wigner solid