High-temperature superconductors

Superconductivity is a phenomenon in which electrons flow without dissipation, resulting in zero electrical resistance. Since the discovery of high-temperature superconductors in 1986, their underlying mechanism has remained one of the central mysteries in condensed matter physics. A major challenge lies in the presence of many competing states with nearly degenerate energies, which demands extremely high accuracy in theoretical calculations.

Our research has contributed significantly to this field. By employing advanced computational techniques—particularly tensor network methods and quantum Monte Carlo—we are able to determine ground states and low-energy excitations with high precision. Through the study of theoretical models, we gain reliable insights into the properties of these systems. For instance, we have found that spin and charge densities can form distinct patterns known as stripe states, which may either coexist with or compete against superconductivity.