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Condensed Matter Theory Lab
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A theory lab exploring the quantum phenomena of topological materials.

AboutAbout the lab
Exploring new quantum phenomena born from the topology of matter.
The Condensed Matter Theory Lab theoretically studies quantum phenomena in materials that are characterized by topology, a mathematical concept.
In topological insulators, the lab investigates electrical conduction and electromagnetic response at the surface. In topological superconductors, it investigates phenomena seen in junction systems as well as fundamental properties.
In topological semimetals, the lab works on everything from clarifying fundamental properties to proposing operating principles for devices based on specific materials.
In fractional quantum Hall insulators, the lab studies fundamental properties with topological quantum computation in mind.
Key terms
- Topological insulator
- A phase of matter that has an energy gap in its interior but has gapless excitations at its surface or interface
- Majorana fermion
- A particle that is its own antiparticle. It shows unusual properties, such as obeying non-Abelian statistics
- Anyon
- A quasiparticle with unusual statistics that obeys neither Fermi statistics nor Bose statistics
NewsLab news
A paper on topological superconductivity in kagome magnets was published in Physical Review B
A paper on the tunneling duality of the Read-Rezayi state was published in J. Phys. Soc. Jpn.
A student received the Excellent Presentation Award (Poster) at the Condensed Matter Physics Summer School for Young Researchers
A paper on topological superconductivity arising from repulsive interactions was published in Physical Review Letters
ResearchResearch themes
The lab theoretically studies topological materials, which are characterized by topology, focusing on the electrical conduction, electromagnetic response, and quantum states that appear at surfaces and junctions. It works to clarify the fundamental properties of each type of material: insulators, superconductors, semimetals, and fractional quantum Hall insulators.
Surface States of Topological Insulators
Surface states are described by the Dirac equation and show properties different from those of ordinary metals. The lab theoretically studies electrical conduction at the surface (including the effects of disorder and interactions), electromagnetic response, and applications to spintronics.
*Illustrative imageTopological Superconductors
The surface states of three-dimensional topological superconductors are described as Majorana fermions. These particles are studied as a key to realizing quantum computers, and the lab aims to understand phenomena seen in junction systems and their fundamental properties.
*Illustrative imageTopological Semimetals
These are materials with linear dispersion in the bulk, including Dirac semimetals and Weyl semimetals. The lab works on everything from clarifying universal fundamental properties to proposing operating principles for devices based on materials such as the kagome layered material Co3Sn2S2.
*Illustrative imageFractional Quantum Hall Insulators and Anyons
This is a quantum state that appears when electrons are confined to a two-dimensional system under a strong magnetic field. Its quasiparticles carry fractional charge and obey anyon statistics. The lab studies its fundamental properties with topological quantum computation in mind.
MembersFaculty
The members of the Condensed Matter Theory Lab consist of faculty and students in the doctoral, master's, and undergraduate programs.As of 2026
- ProfessorKentaro Nomura
- Associate ProfessorHiroki Isobe
- Assistant ProfessorKoji Kudo
- Assistant ProfessorRyoi Ohashi
- Assistant ProfessorEslam Ahmed
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Researchers advance topological superconductors for quantum computing ( )” Oak Ridge National Laboratory / CC BY 2.0 (cropped)
- Topological Superconductors: “Superconducting magnet cutaway” Hzofia74 / CC BY 4.0 (cropped)
- Topological Semimetals: “Tilted dirac cones” QMartist / CC BY-SA 4.0 (cropped)
- Fractional Quantum Hall Insulators and Anyons: “CW-01 National Semiconductor Scientific Calculator Watch CMOS-LSI circuit dies” Mister rf / CC BY-SA 4.0 (cropped)
- Related lab (光物性研究室): “Section of Nexans superconducting cable - Science Museum, London” The wub / CC BY-SA 4.0 (cropped)
- Related lab (創発量子物性研究室): “Two-pronged Approach to Studying High-temperature Superconductivity ( )” National Science Foundation / Public domain (cropped)
- Related lab (磁性物理学研究室): “Eu2O3.powder” Materialscientist at en.wiki / CC BY-SA 3.0 (cropped)
- Related lab (固体電子物性研究室): “Eddy-currents in spinning disc” Silvanus Phillips Thompson / CC0 (cropped)
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