Electron accumulation layer in ultrastrong magnetic field

• Опубліковано в: : Физика низких температур
• Дата: 2017
• Автори: Sammon, M., Han Fu, Shklovskii, B.I.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2017
• Теми: К 100-летию со дня рождения И.М. Лифшица
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/129372
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Electron accumulation layer in ultrastrong magnetic field / M. Sammon, Han Fu, B.I. Shklovskii // Физика низких температур. — 2017. — Т. 43, № 2. — С. 283-290. — Бібліогр.: 39 назв. — англ.

When a three-dimensional electron gas is subjected to a very strong magnetic field, it can reach a quasi-onedimensional
 state in which all electrons occupy the lowest Landau level. This state is referred to as the extreme
 quantum limit (EQL) and has been studied in the physics of pulsars and bulk semiconductors. Here we present
 a theory of the EQL phase in electron accumulation layers created by an external electric field E at the surface
 of a semiconductor with a large Bohr radius such as InSb, PbTe, SrTiO₃ (STO), and particularly
 in the LaAlO₃/SrTiO₃ (LAO/STO) heterostructure. The phase diagram of the electron gas in the plane of the
 magnetic field strength and the electron surface concentration is found for different orientations of the magnetic
 field. We find that in addition to the quasi-classical metallic phase (M), there is a metallic EQL phase, as well
 as an insulating Wigner crystal state (WC). Within the EQL phase, the Thomas–Fermi approximation is used
 to find the electron density and the electrostatic potential profiles of the accumulation layer. Additionally,
 the quantum capacitance for each phase is calculated as a tool for experimental study of these phase diagrams.