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Topology Science and Engineering Lab
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A lab that uses topology as a guide to explore the universal mathematics hidden in matter.
AboutAbout the lab
Seeing matter anew through topology.
The Topology Science and Engineering Lab studies the properties of matter from the perspective of topology (the mathematical study of shapes and spaces).
Topology is a field of mathematics that focuses on properties that do not change under continuous deformation.
The lab investigates the behavior of electrons, focusing mainly on low-dimensional conductors, in which electrons can move only in limited directions and which exhibit charge density waves and superconductivity.
Using scanning tunneling microscopy and spectroscopy and molecular beam epitaxy, the lab also studies the properties of strongly correlated electron systems and ultrathin films.
Key terms
- Topology
- A branch of mathematics that focuses on properties that remain unchanged when a shape is continuously deformed
- Charge density wave
- A state in a crystal in which the electron density is arranged in a regular, wave-like pattern
- Low-dimensional conductor
- A material in which electrons can move only in limited directions, such as within a plane or along a line
ResearchResearch themes
Viewing nature through topology reveals universal mathematical structures that do not depend on the type of material or the scale of energy. By combining methods used in conventional condensed matter theory with scientific and engineering techniques for experimentally verifying those structures, the lab aims to create a new academic discipline.
*Illustrative imageTopology Science and Engineering for Exploring Universal Mathematical Structures
Viewed through topology, phenomena in nature, from the universe to elementary particles, may be describable in terms of universal mathematical structures that do not depend on the type of matter or the scale of energy. The lab seeks to demonstrate this universality experimentally while also investigating why such mathematical structures exist.
*Illustrative imageTopological Physics of Low-Dimensional Materials
Low-dimensional conductors, in which electrons can move only within planes or along lines, exhibit states called charge density waves and spin density waves, which compete or coexist with superconductivity. The lab searches for ground states by varying dimensionality, and aims to observe quantum interference effects using nanofabrication and topological crystals.
MembersFaculty
Members of the Topology Science and Engineering Lab are faculty members and master's and undergraduate students.As of 2025
- ProfessorKoichi Ichimura
- Associate ProfessorTohru Kurosawa
- Assistant ProfessorMasahito Sakoda
VoicesStudent voices
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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: “Möbius strip” David Benbennick / CC BY-SA 3.0 (cropped)
- Topology Science and Engineering for Exploring Universal Mathematical Structures: “Chrome Knot” Marcos Baldin / Public domain (cropped)
- Topological Physics of Low-Dimensional Materials: “Bismuth-Molybdenite-169924” Robert M. Lavinsky / CC BY-SA 3.0 (cropped)
- Related lab (Superfluid Physics Lab): “Helium-glow” Jurii / CC BY 3.0 (cropped)
- Related lab (Semiconductor Quantum Engineering Lab): “Gallium Arsenide (GaAs) 2" wafer” La2O3 / CC BY-SA 3.0 (cropped)
- Related lab (Mathematical Physics Engineering Lab): “Meissner effect p1390048” Mai-Linh Doan / CC BY-SA 3.0 (cropped)
- Related lab (Optical Properties Engineering Lab): “FemtosecondLaserAction” Шмелёв Артемий Геннадьевич / CC BY-SA 3.0 (cropped)
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