Three-state Potts nematic order in stacked frustrated spin models with SO(3) symmetry

Nedić, Ana-Marija; Quito, Victor L.; Sizyuk, Yuriy; Orth, Peter P.

doi:10.1103/physrevb.107.184401

Title: Three-state Potts nematic order in stacked frustrated spin models with SO(3) symmetry

Journal Article · 30 April 2023 · Physical Review. B

DOI: https://doi.org/10.1103/physrevb.107.184401 · OSTI ID:1972800

^[1];

^[1]; Sizyuk, Yuriy ^[1];

^[1]

Ames Lab., and Iowa State Univ., Ames, IA (United States)

Here, we propose stacked two-dimensional lattice designs of frustrated and SO(3) symmetric spin models consisting of antiferromagnetic (AF) triangular and ferromagnetic (FM) sixfold symmetric sublattices that realize emergent $$\mathbb{Z}_{3}$$ Potts nematic order. Considering bilinear-biquadratic spin interactions, our models describe an SO(3)-symmetric triangular lattice AF subject to a fluctuating magnetization arising from the FM coupled sublattice. We focus on the classical AFM-FM windmill model and map out the zero- and finite-temperature phase diagram using Monte Carlo simulations and analytical calculations. We discover a state with composite Potts nematic order above the ferrimagnetic three-sublattice up-up-down ground state and relate it to Potts phases in SO(3)-broken Heisenberg and Ising AFMs in external magnetic fields. Finally, we show that the biquadratic exchange in our model is automatically induced by thermal and quantum fluctuations in the purely bilinear Heisenberg model, easing the requirements for realizing these lattice designs experimentally.

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Research Organization:: Ames Laboratory (AMES), Ames, IA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE)

Grant/Contract Number:: AC02-07CH11358

OSTI ID:: 1972800

Report Number(s):: IS-J 11,056; {"Journal ID: ISSN 2469-9950",""}

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 18 Vol. 107; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (66)

Peierls Proof of Spontaneous Magnetization in a Two-Dimensional Ising Ferromagnet Griffiths, Robert B. Physical Review, Vol. 136, Issue 2A https://doi.org/10.1103/PhysRev.136.A437	journal	October 1964
A superconductor to superfluid phase transition in liquid metallic hydrogen Babaev, Egor; Sudbø, Asle; Ashcroft, N. W. Nature, Vol. 431, Issue 7009 https://doi.org/10.1038/nature02910	journal	October 2004
Charge-density-wave-driven electronic nematicity in a kagome superconductor Nie, Linpeng; Sun, Kuanglv; Ma, Wanru Nature, Vol. 604, Issue 7904 https://doi.org/10.1038/s41586-022-04493-8	journal	February 2022
Ising transition in frustrated Heisenberg models Chandra, P.; Coleman, P.; Larkin, A. I. Physical Review Letters, Vol. 64, Issue 1 https://doi.org/10.1103/PhysRevLett.64.88	journal	January 1990
Half-magnetization plateau and the origin of threefold symmetry breaking in an electrically switchable triangular antiferromagnet Haley, Shannon C.; Weber, Sophie F.; Cookmeyer, Taylor Physical Review Research, Vol. 2, Issue 4 https://doi.org/10.1103/PhysRevResearch.2.043020	journal	October 2020
Critical frontier of the triangular Ising antiferromagnet in a field Qian, Xiaofeng; Wegewijs, Maarten; Blöte, Henk W. J. Physical Review E, Vol. 69, Issue 3 https://doi.org/10.1103/PhysRevE.69.036127	journal	March 2004
Spiral order by disorder and lattice nematic order in a frustrated Heisenberg antiferromagnet on the honeycomb lattice Mulder, A.; Ganesh, R.; Capriotti, L. Physical Review B, Vol. 81, Issue 21 https://doi.org/10.1103/PhysRevB.81.214419	journal	June 2010
Order as an effect of disorder Villain, J.; Bidaux, R.; Carton, J. -P. Journal de Physique, Vol. 41, Issue 11 https://doi.org/10.1051/jphys:0198000410110126300	journal	January 1980
Nematic Fermi Fluids in Condensed Matter Physics Fradkin, Eduardo; Kivelson, Steven A.; Lawler, Michael J. Annual Review of Condensed Matter Physics, Vol. 1, Issue 1 https://doi.org/10.1146/annurev-conmatphys-070909-103925	journal	August 2010
Phase diagram of the classical Heisenberg antiferromagnet on a triangular lattice in an applied magnetic field Seabra, Luis; Momoi, Tsutomu; Sindzingre, Philippe Physical Review B, Vol. 84, Issue 21 https://doi.org/10.1103/PhysRevB.84.214418	journal	December 2011
Phase Transitions in Monomolecular Layer Films Physisorbed on Crystalline Surfaces Vilches, O. E. Annual Review of Physical Chemistry, Vol. 31, Issue 1 https://doi.org/10.1146/annurev.pc.31.100180.002335	journal	October 1980
Emergent Power-Law Phase in the 2D Heisenberg Windmill Antiferromagnet: A Computational Experiment Jeevanesan, Bhilahari; Chandra, Premala; Coleman, Piers Physical Review Letters, Vol. 115, Issue 17 https://doi.org/10.1103/PhysRevLett.115.177201	journal	October 2015
Finite-size scaling at first-order phase transitions Binder, K.; Landau, D. P. Physical Review B, Vol. 30, Issue 3 https://doi.org/10.1103/PhysRevB.30.1477	journal	August 1984
Highly Tunable Magnetic Phases in Transition-Metal Dichalcogenide Fe1/3+δNbS2 Wu, Shan; Xu, Zhijun; Haley, Shannon C. Physical Review X, Vol. 12, Issue 2 https://doi.org/10.1103/PhysRevX.12.021003	journal	April 2022
Spin-Wave Analysis of the Antiferromagnetic Plane Rotator Model on the Triangular Lattice–Symmetry Breaking in a Magnetic Field Kawamura, Hikaru Journal of the Physical Society of Japan, Vol. 53, Issue 8 https://doi.org/10.1143/JPSJ.53.2452	journal	August 1984
Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice with possible applications to twisted bilayer graphene Xu, Xiao Yan; Law, K. T.; Lee, Patrick A. Physical Review B, Vol. 98, Issue 12 https://doi.org/10.1103/PhysRevB.98.121406	journal	September 2018
Phase diagram of a nearest neighbor triangular antiferromagnet in an external field Metcalf, B. D. Physics Letters A, Vol. 45, Issue 1 https://doi.org/10.1016/0375-9601(73)90477-5	journal	August 1973
Emergent criticality and Friedan scaling in a two-dimensional frustrated Heisenberg antiferromagnet Orth, Peter P.; Chandra, Premala; Coleman, Piers Physical Review B, Vol. 89, Issue 9 https://doi.org/10.1103/PhysRevB.89.094417	journal	March 2014
Possible Ising Transition in aHe4Monolayer Adsorbed on Kr-Plated Graphite Tejwani, M. J.; Ferreira, O.; Vilches, O. E. Physical Review Letters, Vol. 44, Issue 3 https://doi.org/10.1103/PhysRevLett.44.152	journal	January 1980
Probing and controlling magnetic states in 2D layered magnetic materials Mak, Kin Fai; Shan, Jie; Ralph, Daniel C. Nature Reviews Physics, Vol. 1, Issue 11 https://doi.org/10.1038/s42254-019-0110-y	journal	September 2019
A magnetic analogue of stereoisomerism : application to helimagnetism in two dimensions Villain, J. Journal de Physique, Vol. 38, Issue 4 https://doi.org/10.1051/jphys:01977003804038500	journal	January 1977
Phenomenological scaling approach to the triangular Ising antiferromagnet Kinzel, W.; Schick, M. Physical Review B, Vol. 23, Issue 7 https://doi.org/10.1103/PhysRevB.23.3435	journal	April 1981
Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator Keesling, Alexander; Omran, Ahmed; Levine, Harry Nature, Vol. 568, Issue 7751 https://doi.org/10.1038/s41586-019-1070-1	journal	April 2019
Nematicity and competing orders in superconducting magic-angle graphene Cao, Yuan; Rodan-Legrain, Daniel; Park, Jeong Min Science, Vol. 372, Issue 6539 https://doi.org/10.1126/science.abc2836	journal	April 2021
On Ising's model of ferromagnetism Peierls, R. Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 32, Issue 3 https://doi.org/10.1017/S0305004100019174	journal	October 1936
Emergent Critical Phase and Ricci Flow in a 2D Frustrated Heisenberg Model Orth, Peter P.; Chandra, Premala; Coleman, Piers Physical Review Letters, Vol. 109, Issue 23 https://doi.org/10.1103/PhysRevLett.109.237205	journal	December 2012
Calorimetric and Structural Characterization of Thin Liquid-Crystal Films Exhibiting the Smectic-A–Hexatic-B–Crystal-BTransitions Jin, A. J.; Veum, M.; Stoebe, T. Physical Review Letters, Vol. 74, Issue 24 https://doi.org/10.1103/PhysRevLett.74.4863	journal	June 1995
Melting of Submonolayer Krypton Films on Graphite Horn, P. M.; Birgeneau, R. J.; Heiney, P. Physical Review Letters, Vol. 41, Issue 14 https://doi.org/10.1103/PhysRevLett.41.961	journal	October 1978
Frustrated magnetic cycloidal structure and emergent Potts nematicity in CaMn2P2 Islam, Farhan; Trevisan, Thaís V.; Heitmann, Thomas Physical Review B, Vol. 107, Issue 5 https://doi.org/10.1103/PhysRevB.107.054425	journal	February 2023
Simultaneous measurement of heat capacity and in-plane density of thin free-standing liquid-crystal films Stoebe, T.; Huang, C. C.; Goodby, J. W. Physical Review Letters, Vol. 68, Issue 19 https://doi.org/10.1103/PhysRevLett.68.2944	journal	May 1992
Magnetism in ultrathin film structures Vaz, C. A. F.; Bland, J. A. C.; Lauhoff, G. Reports on Progress in Physics, Vol. 71, Issue 5 https://doi.org/10.1088/0034-4885/71/5/056501	journal	April 2008
Competing emergent Potts orders and possible nematic spin liquids in the kagome J1−J3 Heisenberg model Li, Hong; Li, Tao Physical Review B, Vol. 106, Issue 3 https://doi.org/10.1103/PhysRevB.106.035112	journal	July 2022
Vestigial nematic order and superconductivity in the doped topological insulator Cu x Bi2Se3 Hecker, Matthias; Schmalian, Jörg npj Quantum Materials, Vol. 3, Issue 1 https://doi.org/10.1038/s41535-018-0098-z	journal	May 2018
Breaking through the Mermin-Wagner limit in 2D van der Waals magnets Jenkins, Sarah; Rózsa, Levente; Atxitia, Unai Nature Communications, Vol. 13, Issue 1 https://doi.org/10.1038/s41467-022-34389-0	journal	November 2022
Thermal properties of ‘stacked hexatic phases’ in liquid crystals Huang, C. C.; Stoebe, T. Advances in Physics, Vol. 42, Issue 3 https://doi.org/10.1080/00018739300101504	journal	June 1993
Semiclassical Eigenstates of Four-Sublattice Antiferromagnets Henley, Christopher L.; Zhang, Nai-gong Physical Review Letters, Vol. 81, Issue 23 https://doi.org/10.1103/PhysRevLett.81.5221	journal	December 1998
Ordered Helium Films on Highly Uniform Graphite—Finite-Size Effects, Critical Parameters, and the Three-State Potts Model Bretz, Michael Physical Review Letters, Vol. 38, Issue 9 https://doi.org/10.1103/PhysRevLett.38.501	journal	February 1977
Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene Venderbos, Jörn W. F.; Fernandes, Rafael M. Physical Review B, Vol. 98, Issue 24 https://doi.org/10.1103/PhysRevB.98.245103	journal	December 2018
Phonon-induced rotation of the electronic nematic director in superconducting Bi2Se3 Hecker, Matthias; Fernandes, Rafael M. Physical Review B, Vol. 105, Issue 17 https://doi.org/10.1103/PhysRevB.105.174504	journal	May 2022
Exotic Magnetic Field-Induced Spin-Superstructures in a Mixed Honeycomb-Triangular Lattice System Garlea, V. Ovidiu; Sanjeewa, Liurukara D.; McGuire, Michael A. Physical Review X, Vol. 9, Issue 1 https://doi.org/10.1103/PhysRevX.9.011038	journal	February 2019
Quantum theory of an antiferromagnet on a triangular lattice in a magnetic field Chubukov, A. V.; Golosov, D. I. Journal of Physics: Condensed Matter, Vol. 3, Issue 1 https://doi.org/10.1088/0953-8984/3/1/005	journal	January 1991
Magnetic phase diagrams of classical triangular and kagome antiferromagnets Gvozdikova, M. V.; Melchy, P-E; Zhitomirsky, M. E. Journal of Physics: Condensed Matter, Vol. 23, Issue 16 https://doi.org/10.1088/0953-8984/23/16/164209	journal	April 2011
Renormalization-group treatment of a Potts lattice gas for krypton adsorbed onto graphite Berker, A. N.; Ostlund, S.; Putnam, F. A. Physical Review B, Vol. 17, Issue 9 https://doi.org/10.1103/PhysRevB.17.3650	journal	May 1978
Ordering phenomena and phase transitions in the physisorbed quantum systems H2, HD and D2 Wiechert, H. Physica B: Condensed Matter, Vol. 169, Issue 1-4 https://doi.org/10.1016/0921-4526(91)90221-Y	journal	February 1991
Antiferromagnetict riangular Ising model Schick, M.; Walker, J. S.; Wortis, M. Physics Letters A, Vol. 58, Issue 7 https://doi.org/10.1016/0375-9601(76)90491-6	journal	October 1976
Evidence of Potts-Nematic Superfluidity in a Hexagonal s p 2 Optical Lattice Jin, Shengjie; Zhang, Wenjun; Guo, Xinxin Physical Review Letters, Vol. 126, Issue 3 https://doi.org/10.1103/PhysRevLett.126.035301	journal	January 2021
Emergent Potts Order in a Coupled Hexatic-Nematic XY model Drouin-Touchette, Victor; Orth, Peter P.; Coleman, Piers Physical Review X, Vol. 12, Issue 1 https://doi.org/10.1103/PhysRevX.12.011043	journal	March 2022
Finite size scaling analysis of ising model block distribution functions Binder, K. Zeitschrift f�r Physik B Condensed Matter, Vol. 43, Issue 2 https://doi.org/10.1007/BF01293604	journal	June 1981
Ordering due to disorder in a frustrated vector antiferromagnet Henley, Christopher L. Physical Review Letters, Vol. 62, Issue 17 https://doi.org/10.1103/PhysRevLett.62.2056	journal	April 1989
Lattice gas transition of He on Grafoil. A continuous transition with cubic terms Alexander, S. Physics Letters A, Vol. 54, Issue 5 https://doi.org/10.1016/0375-9601(75)90766-5	journal	October 1975
Chiral liquid phase of simple quantum magnets Wang, Zhentao; Feiguin, Adrian E.; Zhu, Wei Physical Review B, Vol. 96, Issue 18 https://doi.org/10.1103/PhysRevB.96.184409	journal	November 2017
Unusual ordered phases of highly frustrated magnets: a review Starykh, Oleg A. Reports on Progress in Physics, Vol. 78, Issue 5 https://doi.org/10.1088/0034-4885/78/5/052502	journal	April 2015
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models Mermin, N. D.; Wagner, H. Physical Review Letters, Vol. 17, Issue 22 https://doi.org/10.1103/PhysRevLett.17.1133	journal	November 1966
Nematicity with a twist: Rotational symmetry breaking in a moiré superlattice Fernandes, Rafael M.; Venderbos, Jörn W. F. Science Advances, Vol. 6, Issue 32 https://doi.org/10.1126/sciadv.aba8834	journal	August 2020
Triangular SOS models and cubic-crystal shapes Nienhuis, B.; Hilhorst, H. J.; Blote, H. W. J. Journal of Physics A: Mathematical and General, Vol. 17, Issue 18 https://doi.org/10.1088/0305-4470/17/18/025	journal	December 1984
The Potts model Wu, F. Y. Reviews of Modern Physics, Vol. 54, Issue 1 https://doi.org/10.1103/RevModPhys.54.235	journal	January 1982
Fluctuation-induced phase in in a transverse magnetic field: theory Jacobs, A. E.; Nikuni, Tetsuro Journal of Physics: Condensed Matter, Vol. 10, Issue 28 https://doi.org/10.1088/0953-8984/10/28/019	journal	July 1998
Orientation-dependent stabilization of MgCr2O4 spinel thin films Wen, Fangdi; Liu, Xiaoran; Kareev, Mikhail Physical Review B, Vol. 102, Issue 16 https://doi.org/10.1103/PhysRevB.102.165426	journal	October 2020
Three-state nematicity in the triangular lattice antiferromagnet Fe1/3NbS2 Little, Arielle; Lee, Changmin; John, Caolan Nature Materials https://doi.org/10.1038/s41563-020-0681-0	journal	May 2020
Tricritical- and critical-point melting transitions of commensurate CO on graphite Feng, Y. P.; Chan, M. H. W. Physical Review Letters, Vol. 64, Issue 18 https://doi.org/10.1103/PhysRevLett.64.2148	journal	April 1990
Intertwined Vestigial Order in Quantum Materials: Nematicity and Beyond Fernandes, Rafael M.; Orth, Peter P.; Schmalian, Jörg Annual Review of Condensed Matter Physics, Vol. 10, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031218-013200	journal	March 2019
Novel results of extremely thin substrate-free liquid-crystal films obtained from calorimetric and computer simulation studies Stoebe, T.; Jiang, I. M.; Huang, S. N. Physica A: Statistical Mechanics and its Applications, Vol. 205, Issue 1-3 https://doi.org/10.1016/0378-4371(94)90494-4	journal	April 1994
Z3-vestigial nematic order due to superconducting fluctuations in the doped topological insulators NbxBi2Se3 and CuxBi2Se3 Cho, Chang-woo; Shen, Junying; Lyu, Jian Nature Communications, Vol. 11, Issue 1 https://doi.org/10.1038/s41467-020-16871-9	journal	June 2020
Existence of Long-Range Order in One and Two Dimensions Hohenberg, P. C. Physical Review, Vol. 158, Issue 2 https://doi.org/10.1103/PhysRev.158.383	journal	June 1967
Layer-by-layer ordering of ultrathin liquid crystal films on the three-level Potts model Lin, D. L.; Ou, J. T.; Shi, Long-Pei Europhysics Letters (EPL), Vol. 50, Issue 5 https://doi.org/10.1209/epl/i2000-00314-9	journal	June 2000
Critical behavior of magnetic films in the Ising model Ou, J. T.; Wang, Furong; Lin, D. L. Physical Review E, Vol. 56, Issue 3 https://doi.org/10.1103/PhysRevE.56.2805	journal	September 1997

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