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Finite temperature tensor network algorithm for frustrated two-dimensional quantum materials

delete2024-06-10
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PRE
AI
P
Philipp Schmoll *
C
Christian Balz
B
B. Lake
J
Jens Eisert
A
Augustine Kshetrimayum
DOI:10.1103/PhysRevB.109.235119delete
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Abstract

Abstract

En 中文
Aimed at a more realistic classical description of natural quantum systems, we present a two-dimensional tensor network algorithm to study finite temperature properties of frustrated model quantum systems and real quantum materials. For this purpose, we introduce the infinite projected entangled simplex operator ansatz to study thermodynamic properties. To obtain state-of-the-art benchmarking results, we explore the highly challenging spin-1/2 Heisenberg antiferromagnet on the Kagome lattice, a system for which we investigate the melting of the magnetization plateaus at finite magnetic field and temperature. Making a close connection to actual experimental data of real quantum materials, we go on to studying the finite temperature properties of Ca10Cr7O28. We compare the magnetization curve of this material in the presence of an external magnetic field at finite temperature with classically simulated data. As the first theoretical tool that incorporates both thermal fluctuations as well as quantum correlations in the study of this material, our work contributes to settling the existing controversy between the experimental data and previous theoretical works on the magnetization process.
Keywords:
MATRIX RENORMALIZATION-GROUP
PRODUCT STATES

Journal

Physical Review B cover
Physical Review B
IF:
3.7
Papers:
15.4W
Citations:
41.0W

Organization

F
Free University of Berlin
Scholars:
3.8W
Papers: 3.2W
Citations: 51
S
science & technology facilities council (stfc)
Scholars:
4.6K
Papers: 3.3K
Citations: 8
U
uk research & innovation (ukri)
Scholars:
2.7W
Papers: 2.3W
Citations: 32
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