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We model the Fermi surface of the cuprates by one-dimensional nested partsnear $(0,\pi)$ and $(\pi,0)$ and unnested parts near the zone diagonals.Fermions in the nested regions form 1D spin liquids, and develop spectral gapsbelow some $\sim T^*$, but superconducting order is prevented by 1D phasefluctuations.  We show that the Josephson coupling between order parameters at $(0,\pi)$ and$(\pi,0)$ locks their relative phase at a crossover scale $T^{**}< T^*$. Below$T^{**}$, the system response becomes two-dimensional, and the system displaysNernst effect. The remaining total phase gets locked at $T_c < T^{**}$, atwhich the system develops a (quasi-) long-range superconducting order.Comment: 4 pages, 1 figure; typos corrected, references adde

physical review letters

Phenomenological Theory of the Underdoped Phase of a High-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>T</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:math>Superconductor

Phenomenological Theory of the Underdoped Phase of a High-TcSuperconductor