Observing the Quantum Hall Effect in 'Real' Space

Jan 12, 2009 By Miranda Marquit feature

(PhysOrg.com) -- When water transforms into steam, or magnetized iron changes to demagnetized iron, Katsushi Hashimoto explains to PhysOrg.com, a phase transition is taking place: “Classical phase transitions…often share many fundamental characteristics near the critical point. Quantum phase transitions also show universal critical behaviors, which are affected not only by temperature but also by quantum mechanics.”

“The real space observation of rather complex phenomena due to quantum mechanics is the key access to a descriptive understanding” of the world that governs quantum physics, Hashimoto continues. Hashimoto currently belongs to Tohoku University and to JST-ERATO in Sendai, Japan, but while he was at Hamburg University in Germany, he started experiments with Markus Morgenstern in a group led by Roland Wiesendanger. Getting support from theoretical groups at Universities of Warwick and Ryukyu, he and his collaborators finally succeeded in showing quantum Hall transition in “real” space. The results of the experiments are reported in Physical Review Letters: “Quantum Hall Transition in Real Space: From Localized to Extended States.”

The Hall effect results when an electric current flows in the presence magnetic field with a potential difference across an electrical conductor. As one might expect, the quantum Hall effect is a quantum-mechanical rendering - one that is observed in two-dimensional electron systems and at low temperatures. Hashimoto points out, “The quantum Hall effect as a paradigmatic and nicely tunable example of quantum phase transitions provides a very adaptable access to simple results of complex descriptions.”

According to Hashimoto, the experiments done in Hamburg represent “the first real space observation of a quantum Hall transition by performing scanning tunneling spectroscopy on ‘surface’ two-dimensional electron system.” He describes the system as operating at a temperature of 0.3 K and in a high magnetic field of up to 12 T.

As a result of these experiments, Hashimoto says that spatial resolution has been increased over other scanning probes by more than a full order of magnitude: “The resolution is now below relevant length scales to probe electronic wave function in quantum Hall regime and, consequently, we could observe for the first time the quantum phase transition from localized to extended states directly.”

While the measurements show the quantum Hall transition of how single particles behave in probing states well away from the Fermi level, they do not include many body electron-electron effects. These effects are also important when wants to create a picture of how the quantum world functions. However, Hashimoto points out that what the group found could possibly be extended to a many body system. He says, “In principle, our experiment can extend to two-dimensional electron system at Fermi level where electron-electron interaction can be strong, using p-type semiconductor sample. …We could reveal a wealth of further quantum phase transitions.”

With a p-type sample, Hashimoto continues, it would be possible to see greater energy resolution. He believes that if the findings could be expanded and applied in further experiments, it would be possible to truly address universal critical behavior at the quantum level, bringing us a better understanding of the fundamentals of quantum physics. And, Hashimoto points out, the experiments using a p-type sample are starting in a group led by Markus Morgenstern at Aachen University.

More Information: Katsushi Hashimoto, et. al. Quantum Hall Transition in Real Space: From Localized to Extended States. Physical Review Letters (2008). link.aps.org/doi/10.1103/PhysRevLett.101.256802

Copyright 2007 PhysOrg.com.
All rights reserved. This material may not be published, broadcast, rewritten or redistributed in whole or part without the express written permission of PhysOrg.com.

Explore further: The birth of topological spintronics

add to favorites email to friend print save as pdf

Related Stories

HP CEO Whitman assumes chairman's role

5 hours ago

Hewlett-Packard said Thursday that chief executive Meg Whitman would chair the US tech giant, after the resignation of non-executive chairman Ralph Whitworth.

Recommended for you

IHEP in China has ambitions for Higgs factory

29 minutes ago

Who will lay claim to having the world's largest particle smasher?. Could China become the collider capital of the world? Questions tease answers, following a news story in Nature on Tuesday. Proposals for ...

The physics of lead guitar playing

1 hour ago

String bends, tapping, vibrato and whammy bars are all techniques that add to the distinctiveness of a lead guitarist's sound, whether it's Clapton, Hendrix, or BB King.

The birth of topological spintronics

2 hours ago

The discovery of a new material combination that could lead to a more efficient approach to computer memory and logic will be described in the journal Nature on July 24, 2014. The research, led by Penn S ...

The electric slide dance of DNA knots

6 hours ago

DNA has the nasty habit of getting tangled and forming knots. Scientists study these knots to understand their function and learn how to disentangle them (e.g. useful for gene sequencing techniques). Cristian ...

User comments : 5

Adjust slider to filter visible comments by rank

Display comments: newest first

Alexa
5 / 5 (3) Jan 12, 2009
The point basically is, the strong magnetic field squashes quantum waves into planes, where they condense, so they're not influenced by quantum chaos so much. As the result, we can observe many quantum effects even at elevated temperature. For example, macroscopic magnetic domains (i.e. spin condensate) in Co2FeSi alloy can be observed even at 1100 K! The restricting of quantum waves motion by planes of graphene or so can increase the degeneracy of quantum waves even more. It's probable, next generation of quantum computers would contain a strong magnets and thin layers in it.
el_gramador
not rated yet Jan 13, 2009
Well that explains much more simply then. Thanks Alexa.
KBK
not rated yet Jan 14, 2009
Yes. Thank you. The article has an overwhelming amount of scholarly/corporate obscufication. Obvious fluffer fodder for Physorg articles.

Almost like 'esoteric sign' (things that should not work-but do, symbols, ancient math and/or devices etc), which is there to keep the dangerous and flailing noobs out of the loop, who remain as ignorant as the day is long.
Alexa
not rated yet Jan 16, 2009
Obvious fluffer fodder for Physorg articles
Most of researchers aren't best educators and vice-versa. Furthemore, the requirement of deep specialization in contemporary science constrains the ability to see subject in more general perspective. These two approaches are mutually exclusive like sort of quantum uncertainty.

The formation of boson condensate under pressure is very general aspect of Aether theory, which the explanation of high temperature superconductivity and many other phenomena is based on. When the particles are squashed from many sides, the relative influence of directional motion constrains (like the repulsive forces of neighbouring atoms, for example) goes down and particle clusters can move less or more freely through lattice - i.e. like waves or bosons (wave packets).
Alexa
not rated yet Jan 17, 2009
A simmilar approach to HT superconductivity..

http://physics.ap...es/v1/43