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We present a new model for soft gamma-ray repeaters based on a quark starborn with temperatures above the critical value (T_c) for the onset of thecolour-flavor locked superconductivity. The quark star then quickly cools belowT_c, expelling a fraction of the surface magnetic field via the Meissnereffect. We show that if a small fraction (\leq 10%) of the surface magneticfield (10^{14} - 10^{15} {\rm G}) is expelled, it quickly decays via magneticreconnection and heats up the quark star surface to temperatures > 10^9 {\rmK}. Created (e^{+},e^{-}) pairs annihilate into gamma rays emitted in a giantburst (the first burst in our model), with a luminosity of \sim 10^{45} {\rmergs} {\rm s}^{-1}. Subsequent bursts result from the restructuring of thesurface magnetic field following the formation and relaxation of a vortexlattice which confines the internal magnetic field. During this phase, energyis sporadically released as a consequence of magnetic reconnection events inthe entangled surface magnetic field as it evolves into a smooth, more stable,configuration. The star eventually enters a quiescent phase in which energy iscontinuously supplied by vortex annihilation at the surface. As the star spinsdown, the outermost vortex lines will be pushed to the surface where theyannihilate and release their confined magnetic field. We show that thecorresponding luminosity is L_v \sim 10^{36} {\rm ergs} {\rm s}^{-1} for atypical soft gamma-ray repeater spinning with a period of 8 {\rm s} and asurface magnetic field not exceeding 10^{15} {\rm G}. Our model can be appliedto any situation where a T>T_{\rm c} quark star is generated. We discuss theconnection between anomalous X-ray pulsars and soft gamma-ray repeaters in thecontext of our model.Comment: Version to appear in A&A. Added an entire section (section 8)  discussing among other points, the AXP-SGR connection, glitches and the issue  of transverse velocities in our model. References have been updated  accordingly. (9 pages, 5 figures

Meissner effect and vortex dynamics in quark stars