2013/05/22 by Georgios Konstantinou, Konstantinou, Georgios, Konstantinos Moulopoulos +1
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Organic and Molecular Conductors Research #Physics of Superconductivity and Magnetism #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #Topological Materials and Phenomena
paper · pdf · doi:10.48550/arxiv.1305.6578
openalex publication_date 2013/05/22 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28
A systematic study of the energetics of electrons in an interface in a\nmagnetic field is reported with exact analytical calculations based on a Landau\nLevel (LL) picture, by serious consideration of the finite thickness of the\nQuantum Well (QW). The approach is physically transparent and subtly different\nin its line of reasoning from standard methods avoiding any semi-classical\napproximation. We find "internal" phase transitions (at partial LL filling) for\nmagnetisation and susceptibility that are not captured by other approaches and\nthat give rise to nontrivial violations of the standard de Haas-van Alphen\nperiods, in a manner that reproduces the exact quantal astrophysical behaviours\nin the limit of full three-dimensional (3D) space. Upon inclusion of Zeeman\nsplitting, additional features are also found, such as global energy minima\noriginating from the interplay of QW, Zeeman and LL Physics, while a\ncorresponding calculation in a Composite Fermion picture with \Λ-Levels,\nleads to new predictions on magnetic properties of an interacting electron\nliquid. By pursuing the same line of reasoning for a topologically nontrivial\nsystem with a relativistic spectrum, we find evidence that similar effects\nmight be operative in the dimensionality crossover of 3D strong topological\ninsulators to 2D topological insulator quantum wells.\n