TRR 360 Seminar:

Intertwined Orders in Correlated Quantum Matter: New Perspectives from Numerically Exact Simulations

Tom Devereaux

Intertwined Orders in Correlated Quantum Matter: New Perspectives from Numerically Exact Simulations

Prof. Dr. Tom P. Devereaux

Stanford University, Stanford, USA

Strong electronic interactions often produce multiple competing ordered states whose energies differ by only tiny amounts, making theoretical predictions exceptionally challenging. In this talk I will describe how recent advances in unbiased numerical techniques are providing new insight into this problem using the Hubbard and Emery models as paradigmatic examples. Large-scale DMRG calculations reveal robust stripe ordering over broad regions of the phase diagram, while finite-temperature DQMC identifies low-energy superconducting fluctuations through a new imaginary-time diagnostic that overcomes many traditional limitations imposed by the fermion sign problem. Extending these studies to the multiorbital Emery model demonstrates how oxygen degrees of freedom naturally generate intertwined charge stripes and nematicity beyond the single-band description. These results point toward a unified picture in which superconductivity, charge order, spin order, and nematicity emerge from a landscape of nearly degenerate correlated states whose competition determines the observable properties of quantum materials.