Abstract
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.
| Original language | English |
|---|---|
| Article number | 235119 |
| Journal | Physical Review B |
| Volume | 109 |
| Issue number | 23 |
| DOIs | |
| State | Published - Jun 15 2024 |
Funding
The authors are thankful for discussions with Ji-Yao Chen, Dante Kennes, Corinna Kollath, David Luitz, Jan Naumann, Rom\u00E1n Or\u00FAs, Matteo Rizzi and Anne-Maria Visuri. The authors would like to thank the HPC Service of ZEDAT, Freie Universit\u00E4t Berlin, for computing time . The FUB team acknowledges funding by the European Research Council (DebuQC), the Deutsche Forschungsgemeinschaft (CRC 183 on \u201CEntangled states of matter\u201D and FOR 2724 on \u2018Thermal machines in the quantum world'), the Helmholtz Association, and the Bundesministerium f\u00FCr Bildung und Forschung (MUNIQC-ATOMS), for which this work constitutes method development and the Quantum Flagship (PasQuans2). B.L. acknowledges the support of Deutsche Forschungsgemeinschaft through Project No. B06 of SFB 1143 on \u201CCorrelated magnetism: From frustration to topology\u201D (ID 247310070).