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We present global solutions of optically thin, two-temperature black holeaccretion disks incorporating magnetic fields. We assume that the{\pi}{\phi}-component of the Maxwell stress is proportional to the totalpressure, and prescribe the radial dependence of the magnetic flux advectionrate in order to complete the set of basic equations. We obtained magneticallysupported (low-{\beta}) disk solutions, whose luminosity exceeds the maximumluminosity for an advection-dominated accretion flow (ADAF), L > 0.4 {\alpha}^2L_Edd, where L_Edd is the Eddington luminosity. The accretion flow is composedof the outer ADAF, a luminous hot accretion flow (LHAF) inside the transitionlayer from the outer ADAF to the low-{\beta} disk, the low-{\beta} disk, andthe inner ADAF. The low-{\beta} disk region becomes wider as the mass-accretionrate increases further. In the low-{\beta} disk, the magnetic heating balancesthe radiative cooling, and the electron temperature decreases from ~ 10^9.5 Kto ~ 10^8 K as the luminosity increases. These results are consistent with theanti-correlation between the energy cutoff in X-ray spectra (hence the electrontemperature) and the luminosity when L > 0.1 L_Edd, observed in the bright/hardstate during the bright hard-to-soft transitions of transient outbursts ingalactic black hole candidates.

Global Structure of Optically Thin, Magnetically Supported, Two-Temperature, Black Hole Accretion Disks