Please look at the these and the following link
David Kenny (
http://davidakenny.net/cm/identify.htm ) lists the following conditions for identification in terms of the number of indicators per latent variable. Note condition 3 for single-indicator latent variables.
"Condition B: Sufficient Number of Indicators per Construct
For each of the constructs in the model, at least one of the following three conditions must hold:
1. The construct has at least three indicators whose errors are uncorrelated with each other.
2. The construct has at least two indicators whose errors are uncorrelated and either
a. both the indicators of the construct correlate with a third indicator of another construct but neither of the two indicators' errors is correlated with the error of that third indicator, or b. the two indicators' loadings are set equal to each other.
3. The construct has one indicator which meets either of the following
conditions:
a. its error variance is fixed to zero or some other a priori value (e.g., the quantity one minus the reliability times the indicator's variance) or
b. there is a variable that can serve as an instrumental variable (see Rule C under Identification of the Structural Model) in the structural model and the error in the indicator is not correlated with that instrumental variable."