Magnetic phase transitions in quantum spin-orbital liquids
Abstract
Here, we investigate the spin and orbital correlations of a superexchange model with spin $$\textit{S}$$ = 1 and orbital $$\textit{L}$$ = 1 relevant for $5d^4$ transition-metal Mott insulators, using exact diagonalization and density matrix renormalization group (DMRG). For spin-orbit coupling λ = 0, the orbitals are in an entangled state that is decoupled from the spins. We find two phases with increasing λ: (I) the $$\textit{S}$$2 phase with two peaks in the structure factor for λ ≤ λ$$_{c1}$$ ≈ 0.34$$\textit{J}$$ where $$\textit{J}$$ is the ferromagnetic exchange; and, (II) the $$\textit{S}$$1 phase for λ$$_{c1}$$ < λ ≤ λ$$_{c2}$$ ≈ 1.2$$\textit{J}$$ with emergent antiferromagnetic correlations. Both $$\textit{S}$$1 and $$\textit{S}$$2 phases are shown to exhibit power-law correlations, indicative of a gapless spectrum. Upon increasing λ > λ$$_{c2}$$ leads to a product state of local spin-orbital singlets that exhibit exponential decay of correlations, indicative of a gapped phase. We obtain insights into the phases from the well-known Uimin-Lai-Sutherland model in an external field that provides an approximate description of our model within mean-field theory.
- Authors:
-
- The Ohio State Univ., Columbus, OH (United States)
- National Security Research Institute, Daejeon (Korea)
- Sungkyunkwan University, Suwon (Korea)
- Publication Date:
- Research Org.:
- The Ohio State Univ., Columbus, OH (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); Samsung Science and Technology Foundation
- OSTI Identifier:
- 1800477
- Grant/Contract Number:
- FG02-07ER46423
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 101; Journal Issue: 15; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Materials Science; Physics
Citation Formats
Feng, Shi, Patel, Niravkumar D., Kim, Panjin, Han, Jung Hoon, and Trivedi, Nandini. Magnetic phase transitions in quantum spin-orbital liquids. United States: N. p., 2020.
Web. doi:10.1103/physrevb.101.155112.
Feng, Shi, Patel, Niravkumar D., Kim, Panjin, Han, Jung Hoon, & Trivedi, Nandini. Magnetic phase transitions in quantum spin-orbital liquids. United States. https://doi.org/10.1103/physrevb.101.155112
Feng, Shi, Patel, Niravkumar D., Kim, Panjin, Han, Jung Hoon, and Trivedi, Nandini. Fri .
"Magnetic phase transitions in quantum spin-orbital liquids". United States. https://doi.org/10.1103/physrevb.101.155112. https://www.osti.gov/servlets/purl/1800477.
@article{osti_1800477,
title = {Magnetic phase transitions in quantum spin-orbital liquids},
author = {Feng, Shi and Patel, Niravkumar D. and Kim, Panjin and Han, Jung Hoon and Trivedi, Nandini},
abstractNote = {Here, we investigate the spin and orbital correlations of a superexchange model with spin $\textit{S}$ = 1 and orbital $\textit{L}$ = 1 relevant for $5d^4$ transition-metal Mott insulators, using exact diagonalization and density matrix renormalization group (DMRG). For spin-orbit coupling λ = 0, the orbitals are in an entangled state that is decoupled from the spins. We find two phases with increasing λ: (I) the $\textit{S}$2 phase with two peaks in the structure factor for λ ≤ λ$_{c1}$ ≈ 0.34$\textit{J}$ where $\textit{J}$ is the ferromagnetic exchange; and, (II) the $\textit{S}$1 phase for λ$_{c1}$ < λ ≤ λ$_{c2}$ ≈ 1.2$\textit{J}$ with emergent antiferromagnetic correlations. Both $\textit{S}$1 and $\textit{S}$2 phases are shown to exhibit power-law correlations, indicative of a gapless spectrum. Upon increasing λ > λ$_{c2}$ leads to a product state of local spin-orbital singlets that exhibit exponential decay of correlations, indicative of a gapped phase. We obtain insights into the phases from the well-known Uimin-Lai-Sutherland model in an external field that provides an approximate description of our model within mean-field theory.},
doi = {10.1103/physrevb.101.155112},
journal = {Physical Review B},
number = 15,
volume = 101,
place = {United States},
year = {Fri Apr 10 00:00:00 EDT 2020},
month = {Fri Apr 10 00:00:00 EDT 2020}
}
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