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Finite-Temperature Dynamical Density Matrix Renormalization Group and the Drude Weight of Spin-1/2Chains
Open accessAbstract
We propose an easily implemented approach to study time-dependent correlation functions of one-dimensional systems at finite-temperature T using the density matrix renormalization group. The entanglement growth inherent to any time-dependent calculation is significantly reduced if the auxiliary degrees of freedom which purify the statistical operator are time evolved with the physical Hamiltonian but reversed time. We exploit this to investigate the long-time behavior of current correlation functions of the XXZ spin-1/2 Heisenberg chain. This allows a direct extraction of the Drude weight D at intermediate to large T. We find that D is nonzero--and thus transport is dissipationless--everywhere in the gapless phase. At low temperatures we establish an upper bound to D by comparing with bosonization.
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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
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
Cited by
Time-evolution methods for matrix-product states
Paeckel, S., Köhler, T., Swoboda, A., Manmana, S. R., Schollwöck, U., & Hubig, C. (2019) · Annals of Physics · doi:10.1016/j.aop.2019.167998 · Cited by 768
Bethe-Boltzmann hydrodynamics and spin transport in the XXZ chain
Bulchandani, V. B., Vasseur, R., Karrasch, C., & Moore, J. E. (2018) · Physical Review B · doi:10.1103/physrevb.97.045407 · Cited by 292
Self-citationContracting projected entangled pair states is average-case hard
Haferkamp, J., Hangleiter, D., Eisert, J., & Gluza, M. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.013010 · Cited by 62
Metadata
- Authors
- Karrasch, C., Bardarson, J. H., & Moore, J. E.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2012-05-31
- Volume
- 108
- Issue
- 22
- Pages
- 227206-227206
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1568620044
- Cited by
- 212
- References
- 2
- FWCI
- 8.97
- Type
- journal article
- Language
- en
- Open access
- green
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- Karrasch, C., Bardarson, J. H., & Moore, J. E. (2012). Finite-Temperature Dynamical Density Matrix Renormalization Group and the Drude Weight of Spin-1/2Chains. Physical Review Letters. https://doi.org/10.1103/physrevlett.108.227206
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