Spin-orbit-induced Instability and Finite-Temperature Stabilization of a Triangular-lattice Supersolid
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866910004250935296 |
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| author | Park, Seongjun Park, Sung-Min Oh, Yun-Tak Lee, Hyun-Yong Moon, Eun-Gook |
| author_facet | Park, Seongjun Park, Sung-Min Oh, Yun-Tak Lee, Hyun-Yong Moon, Eun-Gook |
| contents | Geometrically frustrated triangular-lattice magnets provide fertile ground for realizing intriguing quantum phases such as spin supersolids. A common expectation is that spin-orbit coupling (SOC), which breaks continuous spin rotational symmetry, destabilizes these phases by gapping their low-energy modes. Revisiting this assumption, we map out the SOC-field phase diagram of a frustrated triangular-lattice magnet using spin-wave theory and infinite density-matrix renormalization group (iDMRG) simulations. We find that while infinitesimally weak SOC indeed drives a zero-temperature instability of the supersolid by opening a gap, certain supersolid states remain thermodynamically stable at non-zero temperatures. This reveals a previously unrecognized mechanism in which thermal fluctuations counteract SOC to stabilize supersolidity. The resulting finite-temperature supersolids retain key responses, including a giant magnetocaloric effect, highlighting their potential relevance to real materials. At larger SOC, the system transitions into distinct magnetic orders, including a skyrmion lattice, completing a unified phase diagram. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_20963 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Spin-orbit-induced Instability and Finite-Temperature Stabilization of a Triangular-lattice Supersolid Park, Seongjun Park, Sung-Min Oh, Yun-Tak Lee, Hyun-Yong Moon, Eun-Gook Strongly Correlated Electrons Geometrically frustrated triangular-lattice magnets provide fertile ground for realizing intriguing quantum phases such as spin supersolids. A common expectation is that spin-orbit coupling (SOC), which breaks continuous spin rotational symmetry, destabilizes these phases by gapping their low-energy modes. Revisiting this assumption, we map out the SOC-field phase diagram of a frustrated triangular-lattice magnet using spin-wave theory and infinite density-matrix renormalization group (iDMRG) simulations. We find that while infinitesimally weak SOC indeed drives a zero-temperature instability of the supersolid by opening a gap, certain supersolid states remain thermodynamically stable at non-zero temperatures. This reveals a previously unrecognized mechanism in which thermal fluctuations counteract SOC to stabilize supersolidity. The resulting finite-temperature supersolids retain key responses, including a giant magnetocaloric effect, highlighting their potential relevance to real materials. At larger SOC, the system transitions into distinct magnetic orders, including a skyrmion lattice, completing a unified phase diagram. |
| title | Spin-orbit-induced Instability and Finite-Temperature Stabilization of a Triangular-lattice Supersolid |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2601.20963 |