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Fukumoto Lab
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The lab explores quantum many-body systems of electrons on a lattice through theory and computation.
AboutAbout the lab
Exploring the physical properties of quantum many-body systems through theory and computation
The Fukumoto Lab theoretically studies quantum many-body systems of electrons on a lattice.
Electrons have two degrees of freedom, charge and spin, and a system in which the charge degree of freedom is frozen is called a spin system.
Spin systems provide fundamental models of magnetic materials.
Electron systems that have both degrees of freedom call for deep understanding because of their relevance to high-temperature superconductivity and related phenomena. The lab uses these systems as its main subjects to elucidate and explore physical properties.
Key terms
- Quantum many-body system
- A system in which many electrons obeying quantum mechanics influence one another. Here, the lab deals with systems of electrons arranged on a lattice.
- Spin system
- A system in which the charge degree of freedom is frozen and only the spin degree of freedom of the electrons remains. It serves as a fundamental model of magnetic materials.
- Electron system
- A system in which both charge and spin degrees of freedom are present. Because of its relevance to high-temperature superconductivity and related phenomena, deep understanding of it is needed.
ResearchResearch themes
The lab theoretically investigates the physical properties of quantum many-body systems of electrons on a lattice, aiming to elucidate and explore them. It selects computational methods according to the situation and develops programs for its research.
*Illustrative imageQuantum Many-Body Systems of Electrons and Spins
The lab theoretically studies quantum many-body systems of electrons on a lattice. It works to elucidate and explore physical properties in spin systems, in which the charge degree of freedom is frozen, and in electron systems that have both charge and spin degrees of freedom.
*Illustrative imageComputational Methods for Quantum Many-Body Systems
To discuss the physical properties of interacting quantum systems, the lab selects computational methods according to the situation and develops programs for its research. The methods include exact diagonalization (the Lanczos method), series expansion, quantum Monte Carlo simulation, and the density matrix renormalization group.
MembersFaculty
- ProfessorYoshiyuki Fukumoto
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: “Pastilla superconductora sobre vía de imanes” Esmeralda Lizet Martínez Piñeiro / CC BY 3.0 (cropped)
- Quantum Many-Body Systems of Electrons and Spins: “Fragment of pyrochlore lattice in spin ice state” Mjpgngras / CC BY-SA 4.0 (cropped)
- Computational Methods for Quantum Many-Body Systems: “Dutch national supercomputer "Huygens"” Dennis van Zuijlekom / CC BY-SA 2.0 (cropped)
- Related lab (田村研究室): “Organic crystal 2” RemiJos / CC BY 4.0 (cropped)
- Related lab (岡崎研究室): “Peltier-element” Lateiner at German Wikipedia / CC BY-SA 3.0 (cropped)
- Related lab (金井研究室): “RGB LED 5mm” Mister rf / CC BY-SA 4.0 (cropped)
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