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We study the nonequilibrium steady states of an Ising chain in a transversefield, h, by investigating the effect of a field, lambda, which drives thecurrent of energy. The zero-temperature, h-lambda phase diagram is determinedexactly and it is found that the energy current appears continuously above athreshold, lambda > lambda_c(h). The long-range magnetic order (present forh<h_c, lambda < lambda_c) is destroyed in the current-carrying state where thecorrelations are characterized by power-law, oscillatory decay. The mechanismwhich generates the power-law correlations in the current-carrying state isdiscussed.Comment: 4 pages, RevTeX, 2 PostScript figures, to appear in Phys.Rev.Let

Nonequilibrium Steady State in a Quantum System: One-Dimensional Transverse Ising Model with Energy Current