Effective dimension reduction with mode transformations: Simulating two-dimensional fermionic condensed matter systems with matrix-product states
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388955%3A_____%2F21%3A00544964" target="_blank" >RIV/61388955:_____/21:00544964 - isvavai.cz</a>
Result on the web
<a href="http://hdl.handle.net/11104/0321753" target="_blank" >http://hdl.handle.net/11104/0321753</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevB.104.075137" target="_blank" >10.1103/PhysRevB.104.075137</a>
Alternative languages
Result language
angličtina
Original language name
Effective dimension reduction with mode transformations: Simulating two-dimensional fermionic condensed matter systems with matrix-product states
Original language description
Tensor network methods have progressed from variational techniques based on matrix-product states able to compute properties of one-dimensional condensed-matter lattice models into methods rooted in more elaborate states, such as projected entangled pair states aimed at simulating the physics of two-dimensional models. In this work, we advocate the paradigm that for two-dimensional fermionic models, matrix-product states are still applicable to significantly higher accuracy levels than direct embeddings into one-dimensional systems allow for. To do so, we exploit schemes of fermionic mode transformations and overcome the prejudice that one-dimensional embeddings need to be local. This approach takes the insight seriously that the suitable exploitation of both the manifold of matrix-product states and the unitary manifold of mode transformations can more accurately capture the natural correlation structure. By demonstrating the residual low levels of entanglement in emerging modes, we show that matrix-product states can describe ground states strikingly well. The power of the approach is exemplified by investigating a phase transition of spinless fermions for lattice sizes up to 10 x 10.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10403 - Physical chemistry
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review B
ISSN
2469-9950
e-ISSN
2469-9969
Volume of the periodical
104
Issue of the periodical within the volume
7
Country of publishing house
US - UNITED STATES
Number of pages
10
Pages from-to
075137
UT code for WoS article
000686911200002
EID of the result in the Scopus database
2-s2.0-85114018739