We present second-order photon correlation measurements on single InP/͑Ga,In͒P quantum dots as a function of temperature. Low background emission allows to obtain antibunching minima g ͑2͒ ͑0͒ below 0.25 up to 45 K. The antibunching time R increases or decreases with temperature depending on the quantum-dot size. The two trends result from a competition between hole thermal excitation and dark-to-bright exciton transitions. The former prevails in smaller dots showing increasing R with temperature, while the latter dominates in larger quantum dots showing decreasing R with temperature. DOI: 10.1103/PhysRevB.80.161305 PACS number͑s͒: 78.67.Hc, 78.55.Cr, 42.50.Ar Semiconductor quantum dots ͑QDs͒ are among the most promising single-photon emitters ͑SPEs͒ for quantum information applications due to their versatility, scalability, and ease to handle as compared to atom or ion-based SPEs. [1][2][3][4] However, the use of semiconductor QDs as true "on demand" SPEs is conditioned by the presence of "background photons" ͑photons emitted outside the QD but at the QD energy͒ and decoherence. 5 One important source of decoherence in QDs is the random transition between bright exciton ͑BX͒ and dark exciton ͑DX͒ states ͑exciton states with total angular momentum 1 and 2, respectively͒. 6 Exciton energy splittings, as the dark-bright exciton splitting E DB and the fine-structure splitting ⌬ FS , which are large in QDs as compared to higher dimensional systems due to the increased electron-hole Coulomb interaction, are strongly sensitive to the QD size and shape. 7-9 InP QDs have received special attention for their potential use as SPEs in the visible range. [10][11][12][13][14][15][16] Photon correlation measurements for both continuous 9,11 and pulsed excitation 11,13,15 as well as under electrical injection 14 show clear antibunching dips in the second-order photon correlation function g ͑2͒ ͑ ͒ at zero delay ͑ =0͒. The standard form of the correlation function iswhere R is the characteristic ͑minimum͒ time needed for the emission of a second photon after the first one has been emitted by the QD and  is generally determined by background photons. A value  = 1 indicates perfect SPE. The low values of g ͑2͒ ͑0͒ found in InP QDs ͑between 0.1 and 0.2͒ ͑Refs. 10-15͒ is indicative of efficient single-photon emission. High-temperature operation of a SPE is beneficial for practical uses. Antibunching dips up to 200 K have been reported for GaN ͑Ref. 17͒ and CdSe ͑Ref. 18͒ QDs and up to 90 K in InGaAs/AlGaAs QDs. 19 In InP QDs an upper limit of 80 K has been reached using Al containing barriers. 13 Upon raising temperature the g ͑2͒ ͑0͒ value progressively increases due to the increasing background luminescence. Temperature also influences the antibunching width. Indeed R depends on several factors, as the pumping rate, the exciton lifetime 20 and the carrier relaxation time, some of them being temperature dependent. An increase in R with temperature has been reported in InGaAs/AlGaAs QDs. 19 In this Rapid Communication we pres...