Quantum criticality of d-wave quasiparticles and superconducting phase fluctuations

Details Quantum criticality of d-wave quasiparticles and superconducting phase fluctuations Quantum criticality of d-wave quasiparticles and superconducting phase fluctuations

2003-05-22

arxiv.org/abs/cond-mat/0305518v2

Phys. Rev. Lett. 91, 237001 (2003)

Physics

Condensed Matter

Superconductivity

5 pages; published version

Scientific paper

10.1103/PhysRevLett.91.237001

We present finite temperature extension of the QED$_3$ theory of underdoped cuprates. The theory describes nodal quasiparticles whose interactions with quantum proliferated vortex-antivortex pairs are represented by an emergent U(1) gauge field. Finite temperature introduces a scale beyond which the long wavelength fluctuations in the spatial components of vorticity are suppressed. As a result, the spin susceptibility of the pseudogap state is bounded by $T^2$ at low T and crosses over to $\sim T$ at higher $T$, while the low-$T$ electronic specific heat scales as $T^2$, reflecting the thermodynamics of QED$_3$. The Wilson ratio vanishes as $T\to 0$. This non-Fermi liquid behavior originates from two general principles: spin correlations induced by ``gauge'' interactions of quasiparticles and fluctuating vortices and the ``relativistic'' scaling of the T=0 fixed point.

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