Luttinger’s theorem at the center of topology

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Luttinger’s theorem at the center of topology
The laws of physics are based on universal principles, often associated with mathematical theorems. Identifying physical phenomena that escape these fundamental rules leads to a paradigm shift, and usually to major discoveries. In a paper published in Physical Review Letters, Lucila Peralta Gavensky, Nathan Goldman (Faculty of Science) and Subir Sachdev (Harvard), reveal a fundamental link between the violation of two major rules of solid-state physics: Luttinger’s theorem and the classification rule for insulating materials.

In 1960, Luttinger proposed a fundamental and universal relationship that links the total number of particles a physical system can contain to its behavior under low-energy excitations. ...
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