A5049366527- Theoretical and Computational Physics
- Quantum many-body systems
- Quantum and electron transport phenomena
- Physics of Superconductivity and Magnetism
- Quantum chaos and dynamical systems
- Magnetic and Electromagnetic Effects
- Stochastic processes and statistical mechanics
University of Oxford
2021-2022
We demonstrate numerically that a robust and unusual multifractal regime can emerge in one-dimensional quantum chain with maximally correlated disorder, above threshold disorder strength. This is preceded by mixed an extended at weaker strengths, the former hosting both eigenstates. The states we find are markedly different from conventional their structure, as they reside approximately uniformly over continuous segment of chain, lengths these segments scale nontrivially system size....
We introduce a self-consistent theory of mobility edges in nearest-neighbor tight-binding chains with quasiperiodic potentials. Demarcating boundaries between localized and extended states the space system parameters energy, are quite typical systems which lack energy-independent self-duality commonly studied Aubry-Andr\'e-Harper model. The potentials such strongly infinite-range correlated, reflecting their deterministic nature rendering problem distinct from that disordered systems....
Quasiperiodic systems serve as fertile ground for studying localisation, due to their propensity already in one dimension exhibit rich phase diagrams with mobility edges. The deterministic and strongly-correlated nature of the quasiperiodic potential nevertheless offers challenges distinct from disordered systems. Motivated by this, we present a theory localisation chains nearest-neighbour hoppings, based on convergence local propagators; exploiting fact that imaginary part associated...
Electron bilayers in a strong magnetic field exhibit insulating behavior for wide range of interlayer separation $d$ total Landau level fillings $\nu\leq 1/2$, which has been interpreted terms pinned crystal. We study theoretically the competition between many strongly correlated liquid and crystal states obtain phase diagram as function quantum well width several filling factors interest. predict that three structures can be realized: (a) At small $d$, Triangular Ising AntiFerromagnetic...