There has been considerable recent progress in identifying candidate materials for the transverse-field Ising chain (TFIC), a paradigmatic model for quantum criticality. Here, we study the local spin dynamical structure factor of different spin components in the quantum disordered region of the TFIC. We show that the low-frequency local dynamics of the spins in the Ising- and transverse-field...
The transverse field Ising chain (TFIC) at its quantum critical point (QCP) in the scaling limit turns to be a central charge 1/2 conformal field theory (CFT). In the vicinity of a small longitudinal magnetic field, eight quasiparticles emerge and the whole system can be described by exceptional $E_{8}$ Lie algebra. This excitation essentially arises from weak confinement due to the...
TBG and moire system have attracted huge interest in both experimantal and theoretical community due to its exotic strong correlated properties and rich phase diagram. However there is still lack of a general theory for arbitrary twisted angle without commensurate approximation. And the superconductive pairing mechanism in TBG is still controversial.
We propose a new kind of geometric theory...