A Numerically Exact Approach to Quantum Impurity Problems in Realistic Lattice Geometries
Abstract
We review a controlled numerical approach to quantum impurity problems in realistic geometries, consisting of exactly mapping the complete lattice Hamiltonian onto an equivalent one dimensional system through a unitary transformation. The resulting dimensional and entanglement reduction allows one to study the quantum many-body problem on arbitrary d-dimensional lattices using the density matrix renormalization group (DMRG) method. The real-space resolution allows one to position the impurities at the boundary or bulk of the sample and to study screening effects due to edge or surface modes. We describe how to generalize this approach to multi-impurity problems, discuss applications and possible extensions.
- Authors:
- Publication Date:
- Research Org.:
- Northeastern Univ., Boston, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1525896
- Alternate Identifier(s):
- OSTI ID: 1612174
- Grant/Contract Number:
- SC0014407
- Resource Type:
- Published Article
- Journal Name:
- Frontiers in Physics
- Additional Journal Information:
- Journal Name: Frontiers in Physics Journal Volume: 7; Journal ID: ISSN 2296-424X
- Publisher:
- Frontiers Research Foundation
- Country of Publication:
- Switzerland
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; physics; Kondo interaction; quantum magnetism; computational methods; density matrix renormalization group, quantum impurities
Citation Formats
Allerdt, Andrew, and Feiguin, Adrian E. A Numerically Exact Approach to Quantum Impurity Problems in Realistic Lattice Geometries. Switzerland: N. p., 2019.
Web. doi:10.3389/fphy.2019.00067.
Allerdt, Andrew, & Feiguin, Adrian E. A Numerically Exact Approach to Quantum Impurity Problems in Realistic Lattice Geometries. Switzerland. https://doi.org/10.3389/fphy.2019.00067
Allerdt, Andrew, and Feiguin, Adrian E. Wed .
"A Numerically Exact Approach to Quantum Impurity Problems in Realistic Lattice Geometries". Switzerland. https://doi.org/10.3389/fphy.2019.00067.
@article{osti_1525896,
title = {A Numerically Exact Approach to Quantum Impurity Problems in Realistic Lattice Geometries},
author = {Allerdt, Andrew and Feiguin, Adrian E.},
abstractNote = {We review a controlled numerical approach to quantum impurity problems in realistic geometries, consisting of exactly mapping the complete lattice Hamiltonian onto an equivalent one dimensional system through a unitary transformation. The resulting dimensional and entanglement reduction allows one to study the quantum many-body problem on arbitrary d-dimensional lattices using the density matrix renormalization group (DMRG) method. The real-space resolution allows one to position the impurities at the boundary or bulk of the sample and to study screening effects due to edge or surface modes. We describe how to generalize this approach to multi-impurity problems, discuss applications and possible extensions.},
doi = {10.3389/fphy.2019.00067},
journal = {Frontiers in Physics},
number = ,
volume = 7,
place = {Switzerland},
year = {Wed Jun 12 00:00:00 EDT 2019},
month = {Wed Jun 12 00:00:00 EDT 2019}
}
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https://doi.org/10.3389/fphy.2019.00067
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