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This study utilizes belief propagation and infinite tensor network states to map the finite-temperature phase diagram of a frustrated quantum magnet, revealing stable magnetic plateaus that host a novel "simplex liquid state." The research highlights a continuous transition without a phase change, characterized by a finite heat capacity and non-zero residual entropy arising from an exponentially large subspace of crystalline configurations. These findings demonstrate the efficacy of BP-based tensor network techniques in analyzing unconventional phases in strongly correlated electron systems.
Finite-temperature formation of magnetic plateaus and simplex liquid states on the frustrated ruby lattice
arXiv:2606.07609v1 Announce Type: cross Abstract: Geometric frustration in quantum systems can stabilize unconventional phases of matter that avoid traditional magnetic ordering at low temperatures. Here, we observe this phenomenon while mapping out the finite temperature phase diagram of the spin-1/2 Heisenberg antiferromagnet on the ruby lattice with next-nearest-neighbor interactions. Using an infinite tensor network state (iTNS) optimized and measured with belief propagation (BP) and corrections to BP, we observe the low temperature formation of stable magnetic plateaus at various magnetic field strengths. We find these plateaus host a novel `simplex liquid state' -- a disordered phase involving strongly paired spin simplices that retains non-zero residual entropy due to an exponentially large subspace of crystalline configurations. We accurately quantify the energy gap associated with these states and show that, as the temperature of the system is lowered, it does not go through a phase transition to reach them: the heat capacity remains finite and continuous at all observed temperatures. Our work demonstrates how BP-based tensor network techniques provide a powerful route to understanding frustrated quantum magnets at finite temperature.
Abstract:Geometric frustration in quantum systems can stabilize unconventional phases of matter that avoid traditional magnetic ordering at low temperatures. Here, we observe this phenomenon while mapping out the finite temperature phase diagram of the spin-1/2 Heisenberg antiferromagnet on the ruby lattice with next-nearest-neighbor interactions. Using an infinite tensor network state (iTNS) optimized and measured with belief propagation (BP) and corrections to BP, we observe the low temperature formation of stable magnetic plateaus at various magnetic field strengths. We find these plateaus host a novel `simplex liquid state' -- a disordered phase involving strongly paired spin simplices that retains non-zero residual entropy due to an exponentially large subspace of crystalline configurations. We accurately quantify the energy gap associated with these states and show that, as the temperature of the system is lowered, it does not go through a phase transition to reach them: the heat capacity remains finite and continuous at all observed temperatures. Our work demonstrates how BP-based tensor network techniques provide a powerful route to understanding frustrated quantum magnets at finite temperature.
Main text: 6 pages, 4 figures. Comments are welcome
Strongly Correlated Electrons (cond-mat.str-el); Quantum Physics (quant-ph)
arXiv:2606.07609 [cond-mat.str-el]
(or arXiv:2606.07609v1 [cond-mat.str-el] for this version)
https://doi.org/10.48550/arXiv.2606.07609 Focus to learn more arXiv-issued DOI via DataCite
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Full text under the publisher's open licence · 278 words