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Main Authors: Mazumdar, Sumit, Clay, R. Torsten
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2406.15597
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author Mazumdar, Sumit
Clay, R. Torsten
author_facet Mazumdar, Sumit
Clay, R. Torsten
contents There has been strong interest recently in the so-called Cooper pair density wave, subsequent to the proposition that such a state occurs in the hole-doped cuprate superconductors. As of now there is no convincing demonstration of such a state in the cuprate theoretical literature. We present here a brief but complete review of our theoretical and computational work on the paired-electron crystal (PEC), which has been also experimentally seen in the insulating phase proximate to superconductivity (SC) in organic charge-transfer solid (CTS) superconductors. Within our theory, SC in the CTS does indeed evolve from the PEC. A crucial requirement for the finding of the PEC is that the proper carrier density of one charge carrier per two sites is taken into consideration at the outset. Following the discussion of CTS superconductors, we briefly discuss how the theory can be extended to understand the phase diagram of the cuprate superconductors that has remained mysterious after nearly four decades of the discovery of SC in this family.
format Preprint
id arxiv_https___arxiv_org_abs_2406_15597
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Computational Demonstrations of Density Wave of Cooper Pairs and Paired-Electron Liquid in the Quarter-Filled Band -- a Brief Review
Mazumdar, Sumit
Clay, R. Torsten
Strongly Correlated Electrons
There has been strong interest recently in the so-called Cooper pair density wave, subsequent to the proposition that such a state occurs in the hole-doped cuprate superconductors. As of now there is no convincing demonstration of such a state in the cuprate theoretical literature. We present here a brief but complete review of our theoretical and computational work on the paired-electron crystal (PEC), which has been also experimentally seen in the insulating phase proximate to superconductivity (SC) in organic charge-transfer solid (CTS) superconductors. Within our theory, SC in the CTS does indeed evolve from the PEC. A crucial requirement for the finding of the PEC is that the proper carrier density of one charge carrier per two sites is taken into consideration at the outset. Following the discussion of CTS superconductors, we briefly discuss how the theory can be extended to understand the phase diagram of the cuprate superconductors that has remained mysterious after nearly four decades of the discovery of SC in this family.
title Computational Demonstrations of Density Wave of Cooper Pairs and Paired-Electron Liquid in the Quarter-Filled Band -- a Brief Review
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2406.15597