Incompressible strips and edge states?

In summary: Overall, the paper provides valuable insights into the relationship between edge states and incompressible strips in a 2DEG, shedding light on the behavior of these fundamental quantum systems. In summary, the paper by D.B. Chklovskii discusses the appearance of incompressible strips in a two-dimensional electron gas (2DEG) under the influence of a magnetic field. These strips are related to the edge states in the 2DEG and exhibit low compressibility. The paper provides quantitative results and concludes that the width of the incompressible strips is determined by the magnetic field and can be shifted by changing the electron density. This study sheds light on the behavior of fundamental quantum systems and their relationship with edge states.
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industrygiant
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I'm reading the paper by D.B. Chklovskii where he quantitatively describes the appearance of strips of incompressible electron fluid in a 2DEG when a magnetic field is applied to it. What I don't get is the relationship between these strips of incompressibility and the edge states in the 2DEG? Maybe I missed something but my (undergrad) understanding would be that the compressible regions are the edge states and the incompressible regions separate them?

Thanks.

Edit: sorry paper is here http://prb.aps.org/abstract/PRB/v47/i19/p12605_1
 
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The edge states in a two-dimensional electron gas (2DEG) are regions of electron density that are confined to the edge of the sample due to the presence of an applied magnetic field. These regions exhibit distinct features such as low compressibility, and it is believed that these states are responsible for the formation of incompressible strips in the 2DEG. The paper by D.B. Chklovskii explores this phenomenon in detail, providing quantitative results that describe the behavior of the incompressible strips under various conditions. The main conclusion of the paper is that the width of the incompressible strips is determined by the applied magnetic field, and that the position of the strips can be shifted by changing the electron density in the 2DEG.
 

Related to Incompressible strips and edge states?

What are incompressible strips and edge states?

Incompressible strips and edge states are phenomena that occur in certain materials, such as 2D electron gases, where the electrons are confined to move only in a 2D plane. In these materials, under certain conditions, the electrons can form a strip-like region where they are unable to compress or change their density, known as an incompressible strip. This leads to the formation of edge states, which are states of electrons that can only exist at the edges of the incompressible strip.

How are incompressible strips and edge states related?

Incompressible strips and edge states are closely related, as the formation of an incompressible strip leads to the emergence of edge states at its boundaries. The electrons in the incompressible strip are unable to change their density, so any additional electrons must form edge states at the edges of the strip. These edge states are important for the transport of electrons and can have unique properties compared to the bulk electrons in the material.

What causes the formation of incompressible strips and edge states?

The formation of incompressible strips and edge states is a result of the quantum-mechanical behavior of electrons in 2D materials. When subjected to a strong magnetic field, the electrons in these materials can only occupy certain energy levels, known as Landau levels. At specific Landau levels, the electrons can form an incompressible strip and create edge states at its boundaries.

What are the applications of incompressible strips and edge states?

Incompressible strips and edge states have potential applications in the field of quantum computing, where the unique properties of edge states can be utilized for quantum information processing. They also have potential uses in creating new types of electronic devices, such as quantum Hall effect sensors and transistors.

How can incompressible strips and edge states be experimentally observed?

Incompressible strips and edge states can be observed through various experimental techniques, such as scanning tunneling microscopy and transport measurements. By applying a strong magnetic field and measuring the current flow through the material, the presence of incompressible strips and edge states can be detected. Other techniques, such as angle-resolved photoemission spectroscopy, can also be used to study the electronic structure of these materials and observe the formation of incompressible strips and edge states.

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