The effect of the pseudogap on thermomagnetic transport in cuprates

Recent interest in the cuprate thermal Hall coefficient and longstanding interest in the Wiedemann-Franz ratio emphasize the importance of systematically understanding the thermomagnetic coefficients of the pseudogap phase. Here we present a strong-pairing correlation theory for the pseudogap phase in which both bosonic (or preformed pairs) and gapped fermionic excitations are present. This approach is different from standard fluctuation schemes as it includes pseudogap effects in the general thermomagnetic response. Our formulae are additionally validated by an alternative theoretical formulation of thermomagnetic transport which, instead of the Luttinger gravitational potential, introduces a more physical Leggett-Caldeira particle bath. One goal of this work is to evaluate the Wiedemann-Franz ratio associated with the charge carrier contribution for both the longitudinal and transverse transport at general temperatures. This enables us to discuss the
implications for experiment.