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Translation Invariant Bipolarons and Charge Density Waves in High-Temperature Superconductors

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TLDR
A correlation between the theories of superconductivity based on the concept of charge density waves (CDW) and the translation invariant (TI) bipolaron theory is established in this paper, where it is shown that CDW are originated from TI-bipolaron states in the pseudogap phase due to Kohn anomaly and form a pair density wave (PDW) for wave vectors corresponding to nesting.
Abstract
A correlation is established between the theories of superconductivity based on the concept of charge density waves (CDW) and the translation invariant (TI) bipolaron theory. It is shown that CDW are originated from TI-bipolaron states in the pseudogap phase due to Kohn anomaly and form a pair density wave (PDW) for wave vectors corresponding to nesting. Emerging in the pseudogap phase, CDW coexist with superconductivity at temperatures below that of superconducting transition while their wave amplitudes decrease as a Bose condensate is formed from TI-bipolarons, vanishing at zero temperature.

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Density waves in solids

TL;DR: In this article, the theoretical and experimental state of affairs of two novel types of broken symmetry ground states of metals, charge, and spin density waves are discussed, as the consequence of electron-phonon and electron-electron interactions in low-dimensional metals.
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Magnetic-field-induced charge-stripe order in the high-temperature superconductor YBa2Cu3Oy.

TL;DR: Nuclear magnetic resonance measurements are reported showing that high magnetic fields actually induce charge order, without spin order, in the CuO2 planes of YBa2Cu3Oy, and it is argued that it is most probably the same 4a-periodic modulation as in stripe-ordered copper oxides.
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On the Theory of Superconductivity: The One-Dimensional Case

TL;DR: In this paper, the problem of free electrons interacting with lattice displacements is solved by a self-consistent method, and it is found that for a certain range of the interaction parameter a single sinusoidal lattice displacement is strongly excited in the lowest level of the system.
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