Dimensional Crossover of Charge-Density Wave Correlations in the Cuprates

Yosef Caplan, Dror Orgad

Research output: Contribution to journalArticlepeer-review


Short-range charge-density wave correlations are ubiquitous in underdoped cuprates. They are largely confined to the copper-oxygen planes and typically oscillate out of phase from one unit cell to the next in the c direction. Recently, it was found that a considerably longer-range charge-density wave order develops in YBa2Cu3O6+x above a sharply defined crossover magnetic field. This order is more three-dimensional and is in-phase along the c axis. Here, we show that such behavior is a consequence of the conflicting ordering tendencies induced by the disorder potential and the Coulomb interaction, where the magnetic field acts to tip the scales from the former to the latter. We base our conclusion on analytic large-N analysis and Monte Carlo simulations of a nonlinear sigma model of competing superconducting and charge-density wave orders. Our results are in agreement with the observed phenomenology in the cuprates, and we discuss their implications to other members of this family, which have not been measured yet at high magnetic fields.

Original languageAmerican English
Article number107002
JournalPhysical Review Letters
Issue number10
StatePublished - 8 Sep 2017

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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