The phase diagram of the underdoped cuprates at high magnetic field

Abstract

The experimentally measured phase diagram of cuprate superconductors in the temperature-applied magnetic field plane illuminates key issues in understanding the physics of these materials. At low temperature, the superconducting state gives way to a long-range charge order with increasing magnetic field; both the orders coexist in a small intermediate region. The charge order transition is strikingly insensitive to temperature, and quickly reaches a transition temperature close to the zero-field superconducting $T_c$. We argue that such a transition along with the presence of the coexisting phase cannot be described simply by a competing orders formalism. We demonstrate that for some range of parameters there is an enlarged symmetry of the strongly coupled charge and superconducting orders in the system depending on their relative masses and the coupling strength of the two orders. We establish that this sharp switch from the superconducting phase to the charge order phase can be understood in the framework of a composite SU(2) order parameter comprising the charge and superconducting orders. Finally, we illustrate that there is a possibility of the coexisting phase of the competing charge and superconducting orders only when the SU(2) symmetry between them is weakly broken due to biquadratic terms in the free energy. The relation of this sharp transition to the proximity to the pseudogap quantum critical doping is also discussed.

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Cited by in corpus (12)

• Gauge theory for the cuprates near optimal doping
• Visualizing the periodic modulation of Cooper pairing in a severely underdoped cuprate
• Unusual interplay between superconductivity and field-induced charge order in YBa2Cu3Oy
• Fractionalized pair density wave in the pseudo-gap phase of cuprate superconductors
• Odd-frequency pair density wave correlations in underdoped cuprates
• Fractionalizing a local pair density wave: a good "recipe" for opening a pseudo-gap
• Collective mode in the SU(2) theory of cuprates
• Fluctuations and Higgs mechanism in Under-Doped Cuprates: a Review
• Anomalous softening of phonon-dispersion in cuprate superconductors
• Incipient loop current order in the under-doped cuprate superconductors
• Interplay of Pairing Correlation and Coulomb Correlation in Boson Exchange Superconductors
• Study of effective coupling between charge degrees of freedom in low dimensional hole-doped quantum antiferromagnets