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Mathematical Physics, Statistical Mechanics, and Condensed Matter Theory Lab
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The lab studies statistical mechanics by exactly solving models of spins arranged on a lattice.
AboutAbout the lab
Exactly solving spin models on a lattice
Prof. Minami studies statistical mechanics and mathematical physics.
The professor investigates the properties of models in which spins are placed on lattice points and interact quantum mechanically.
Centered on exact solutions of one-dimensional quantum spin chains, the lab works on solvable lattice models.
Key terms
- Lattice model
- A model of a material in which spins and the like are placed on regularly arranged points (a lattice) and interact with one another.
- Exact solution
- A solution obtained accurately in closed form, without using approximations.
- Hamiltonian
- An expression for the energy of a system. In quantum mechanics it is treated as an operator and determines the system's behavior.
ResearchResearch themes
The lab's research centers on exactly solving lattice models in which spins are placed on lattice points and interact quantum mechanically. The professor continues work on exactly determining the partition functions and magnetic susceptibilities of quantum spin chains.
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MembersFaculty
- Associate ProfessorKazuhiko Minami
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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: “2D-Hubbard-model” Susumu Yamada, Toshiyuki Imamura, Masahiko Machida / CC BY-SA 4.0 (cropped)
- Exact solutions of one-dimensional quantum spin systems: “Spin chain3” Tluck074 / CC BY-SA 4.0 (cropped)
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