The ideal Carnot engine works between two heat reservoir with two temperatures th>0(high temperature) and tl>0(low temperature). Its efficiency is then
η=1−tlth<1
For example, given the low temperature reservoir which is an infinite large Ising lattice with Hamitonian( B>0) H=−∑iBsi with binary variable si∈{−1,1}. There exist configuration such that the absolute temperature of this system is negative in Kelvin.
If somehow you can couple the heat engine to the low temperature reservoir with above Ising lattice with temperature −|tl|<0), what's the efficiency of ideal Carnot engine with high temperature heat reservior th>0.
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