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Quantum phase transitions in $d-wave$ superconductors

Ki-Seok Kim·Sung-Sik Lee·Jae-Hyeon Eom·Sung-Ho Suck Salk
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Abstract

Based on an effective Lagrangian obtained from the holon-pair boson theory of Lee and Salk [Phys. Rev. B {\bf 64}, 052501 (2001)] for high $T_c$ cuprates, we explore physical states involved with quantum phase transitions around a critical hole doping of $d-wave$ superconductivity. We find a new quantum phase transition, a confinement to deconfinement transition for internal gauge charge in the superconducting phase. An antiferro- to para- magnetic transition in the superconducting state is explained in the context of the confinement to deconfinement transition. We obtain effective field theories in each region associated with the phase transitions.

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Ki-Seok Kim, Sung-Sik Lee, Jae-Hyeon Eom, Sung-Ho Suck Salk. 2004-09-17. Quantum phase transitions in $d-wave$ superconductors. https://arxiv.org/abs/cond-mat/0404527

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