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Density-matrix spectra of solvable fermionic systems
Open accessAbstract
We consider noninteracting fermions on a lattice and give a general result for the reduced density matrices corresponding to parts of the system. This allows to calculate their spectra, which are essential in the density-matrix renormalization group method, by diagonalizing small matrices. We discuss these spectra and their typical features for various fermionic quantum chains and for the two-dimensional tight-binding model.
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Cites
Density matrix formulation for quantum renormalization groups
White, S. R. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.2863 · Cited by 7,702
Cited by
The density-matrix renormalization group in the age of matrix product states
Schollwöck, U. (2011) · Annals of Physics · doi:10.1016/j.aop.2010.09.012 · Cited by 4,818
The density-matrix renormalization group
Schollwöck, U. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.259 · Cited by 3,323
Entanglement entropy and conformal field theory
Calabrese, P., & Cardy, J. (2009) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/42/50/504005 · Cited by 1,688
Quantum entanglement in condensed matter systems
Laflorencie, N. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.06.008 · Cited by 765
A finite entanglement entropy and the c-theorem
Casini, H., & Huerta, M. (2004) · Physics Letters B · doi:10.1016/j.physletb.2004.08.072 · Cited by 425
Metadata
- Authors
- Chung, M.-C., & Peschel, I.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2001-07-23
- Volume
- 64
- Issue
- 6
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W2139262393
- Cited by
- 282
- References
- 1
- FWCI
- 3.30
- Type
- journal article
- Language
- en
- Open access
- green
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