nLab solid state physics

Contents

Context

Solid state physics

Quantum systems

quantum logic


quantum physics


quantum probability theoryobservables and states


quantum information


quantum computation

qbit

quantum algorithms:


quantum sensing


quantum communication

Contents

Idea

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

Properties

Topological phases of matter

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

References

General

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:

General:

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 August 18, 2024 at 18:07:43. See the history of this page for a list of all contributions to it.