nLab solid state physics



Solid state physics

Quantum systems

quantum logic

quantum physics

quantum probability theoryobservables and states

quantum information

quantum computation


quantum algorithms:

quantum sensing

quantum communication



The physics of solid condensed matter (made of fermions, due to the Pauli exclusion principle), also continuum mechanics.


Topological phases of matter

See at K-theory classification of topological phases of matter.



Textbook accounts:

In terms of quantum field theory:

With an emphasis on non-perturbative quantum field theory:

  • Alvaro Ferraz, Kumar S. Gupta, Gordon W. Semenoff, Pasquale Sodano (eds.): Strongly Coupled Field Theories for Condensed Matter and Quantum Information Theory, Springer Proceedings in Physics 239, Springer (2020) [doi:10.1007/978-3-030-35473-2, pdf]

Lecture notes:

Specifically on Bloch-Floquet theory:

With focus on semiconductor-theory:

See also:

and maybe also

Examples and applications

Discussion of possible realization of the SYK-model in condensed matter physics:

  • D. I. Pikulin, M. Franz, Black hole on a chip: proposal for a physical realization of the SYK model in a solid-state system, Phys. Rev. X 7, 031006 (2017) (arXiv:1702.04426)

AdS/CMT correspondence

On AdS/CFT in condensed matter physics:

Proposed realization of aspects of p-adic AdS/CFT correspondence in solid state physics:

  • Gregory Bentsen, Tomohiro Hashizume, Anton S. Buyskikh, Emily J. Davis, Andrew J. Daley, Steven Gubser, Monika Schleier-Smith, Treelike interactions and fast scrambling with cold atoms, Phys. Rev. Lett. 123, 130601 (2019) (arXiv:1905.11430)

K-Theory classification of gapped topological phases of matter

Classification of condensed matter with gapped Hamiltonians (topological insulators, topological phases of matter) by twisted equivariant topological K-theory:

Tensor networks in solid state physics

Discussion of exotic phases of matter via tensor network states:


Specifically tree tensor networks:

  • Valentin Murg, Örs Legeza, Reinhard M. Noack, Frank Verstraete, Simulating Strongly Correlated Quantum Systems with Tree Tensor Networks, Phys. Rev. B 82, 205105 (2010) (arXiv:1006.3095)

Concrete materials:

  • A. Kshetrimayum, C. Balz, B. Lake, Jens Eisert, Tensor network investigation of the double layer Kagome compound Ca 10Cr 7O 28Ca_{10} Cr_{7} O_{28} (arXiv:1904.00028)

Last revised on June 5, 2024 at 10:47:49. See the history of this page for a list of all contributions to it.