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The smallest discrete component of a phenomena is a quantum. The quantum spin Hall state is a type of matter that is thought to exist in specific, spin-orbit coupled, two-dimensional semiconductors. The integer quantum Hall state is related to the quantum spin Hall state of matter, however the latter does not necessitate the application of a strong magnetic field.
The electron charge e and the Planck constant h define the quantum Hall effect (QHE), which is a quantization of resistance observed by two-dimensional electronic systems.
The Global Quantum Hall system Market accounted for $XX Billion in 2022 and is anticipated to reach $XX Billion by 2030, registering a CAGR of XX% from 2023 to 2030.
Quantum Hall effect systems of electrons with anisotropic patterns.In semiconductor heterojunctions, an almost ideal two-dimensional electron system can now be easily created.
Under specific quantum conditions, the electrons’ quantum Hall effect state is induced by applying a strong perpendicular magnetic field. The most robust integer and/or fractional quantum Hall states that have already been observed exhibit the expected magnetoresistance for such systems. Anisotropic patterns and features in transport properties have been observed in a few other unusual cases.
Such anisotropic patterns may have a variety of causes or may also result from the particulars of the material and system, including the isotropic or anisotropic nature of the effective mass of the electrons, the characteristics of the host substrate, the characteristics of the interaction potentials, as well as other more subtle effects. There are numerous outcomes that could result from how these components interact.
We investigate tiny quantum Hall states of electrons with a filling factor of 1/6 in this work, as well as the emergence of such anisotropic patterns as a result of some kind of system-inherent interaction anisotropy.Insights from this work shed light on the potential existence of novel anisotropic Fermi liquid electron phases that stabilise at an even-denominator LLL filling factor and are driven by an anisotropic Coulomb interaction potential.
A deeper understanding of these unusual anisotropic phases of electrons with BRS may result from such an anisotropic interaction potential. If there is an anisotropic Coulomb interaction potential of the type that is being examined, an anisotropic liquid phase of electrons may stabilise at the filling factor of the LLL.