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2001 Physics of the Pseudogap Phase of High T c Cuprates, or, RVB Meets Umklapp

It is argued that the dominant feature of the phase diagram of the high T c cuprates is the crossover to the pseudogap phase in the energy (temperature) region E ( T ∗ ). We argue that this scale is determined by the eﬀective antiferromagnetic interaction which we calculate to be J eff = J superexchange − xt where x is the hole percentage and t the hopping integral.