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3D-2D crossover and phase shift of beats of quantum oscillations of interlayer magnetoresistance in quasi-2D metals

Published 16 May 2024 in cond-mat.str-el and cond-mat.mes-hall | (2405.10174v1)

Abstract: Magnetic quantum oscillations (MQO) are traditionally applied to investigate the electronic structure of metals. In layered quasi-two-dimensional (Q2D) materials the MQO have several qualitative features giving additional useful information, provided their theoretical description is developed. Within the framework of the Kubo formula and the self-consistent Born approximation, we reconsider the phase of beats in the amplitude of Shubnikov oscillations of interlayer conductivity in Q2D metals. We show that the phase shift of beats of the Shubnikov (conductivity) oscillations relative to the de Haas - van Alphen (magnetization) oscillations is larger than expected previously and, under certain conditions, can reach the value of $\pi/2$, as observed experimentally. We explain the phase inversion of MQO during the 3D - 2D crossover and predict the decrease of relative MQO amplitude of interlayer magnetoresistance in a strong magnetic field, larger than the beat frequency.

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References (55)
  1. Shoenberg, D. Magnetic Oscillations in Metals; Cambridge University Press: Cambridge, England, UK, 1984. https://doi.org/10.1017/CBO9780511897870.
  2. Semiclassical Interpretation of the Angular-Dependent Oscillatory Magnetoresistance in Quasi-Two-Dimensional Systems. J. Phys. Soc. Jpn. 1990, 59, 3069–3072. https://doi.org/10.1143/JPSJ.59.3069.
  3. Comparison of coherent and weakly incoherent transport models for the interlayer magnetoresistance of layered Fermi liquids. Phys. Rev. B 1999, 60, 7998–8011. https://doi.org/10.1103/PhysRevB.60.7998.
  4. Kartsovnik, M.V. High Magnetic Fields:  A Tool for Studying Electronic Properties of Layered Organic Metals. Chem. Rev. 2004, 104, 5737–5782. https://doi.org/10.1021/cr0306891.
  5. Wosnitza, J. Fermi Surfaces of Low-Dimensional Organic Metals and Superconductors; Springer Berlin: Berlin, 2013.
  6. Detailed Topography of the Fermi Surface of Sr2⁢RuO4subscriptSr2subscriptRuO4{\mathrm{Sr}}_{2}{\mathrm{RuO}}_{4}roman_Sr start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT roman_RuO start_POSTSUBSCRIPT 4 end_POSTSUBSCRIPT. Phys. Rev. Lett. 2000, 84, 2662–2665. https://doi.org/10.1103/PhysRevLett.84.2662.
  7. Grigoriev, P.D. Angular dependence of the Fermi surface cross-section area and magnetoresistance in quasi-two-dimensional metals. Phys. Rev. B 2010, 81, 205122. https://doi.org/10.1103/PhysRevB.81.205122.
  8. Grigoriev, P.D. Weakly incoherent regime of interlayer conductivity in a magnetic field. Phys. Rev. B 2011, 83, 245129. https://doi.org/10.1103/PhysRevB.83.245129.
  9. Magnetic-field-induced dimensional crossover in the organic metal α−(BEDT−TTF)2⁢KHg⁢(SCN)4𝛼subscriptBEDTTTF2KHgsubscriptSCN4\alpha-\mathrm{(BEDT-TTF)}_{2}\mathrm{KHg(SCN)}_{4}italic_α - ( roman_BEDT - roman_TTF ) start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT roman_KHg ( roman_SCN ) start_POSTSUBSCRIPT 4 end_POSTSUBSCRIPT. Phys. Rev. B 2012, 86, 165125. https://doi.org/10.1103/PhysRevB.86.165125.
  10. Grigoriev, P.D. Longitudinal interlayer magnetoresistance in strongly anisotropic quasi-two-dimensional metals. Phys. Rev. B 2013, 88, 054415. https://doi.org/10.1103/PhysRevB.88.054415.
  11. Angular dependence of magnetoresistance in strongly anisotropic quasi-two-dimensional metals: Influence of Landau-level shape. Phys. Rev. B 2014, 90, 115138. https://doi.org/10.1103/PhysRevB.90.115138.
  12. False spin zeros in the angular dependence of magnetic quantum oscillations in quasi-two-dimensional metals. Phys. Rev. B 2017, 95, 195130. https://doi.org/10.1103/PhysRevB.95.195130.
  13. Slow Oscillations of Magnetoresistance in Quasi-Two-Dimensional Metals. Phys. Rev. Lett. 2002, 89, 126802. https://doi.org/10.1103/PhysRevLett.89.126802.
  14. Grigoriev, P.D. Theory of the Shubnikov–de Haas effect in quasi-two-dimensional metals. Phys. Rev. B 2003, 67, 144401. https://doi.org/10.1103/PhysRevB.67.144401.
  15. Magnetic oscillations measure interlayer coupling in cuprate superconductors. Phys. Rev. B 2017, 96, 165110. https://doi.org/10.1103/PhysRevB.96.165110.
  16. Magnetic oscillations of in-plane conductivity in quasi-two-dimensional metals. Phys. Rev. B 2018, 98, 045118. https://doi.org/10.1103/PhysRevB.98.045118.
  17. Anomalous beating phase of the oscillating interlayer magnetoresistance in layered metals. Phys. Rev. B 2002, 65, 060403. https://doi.org/10.1103/PhysRevB.65.060403.
  18. Investigations of the Fermi surface of a new organic metal: (BEDT-TTF)4[ Ni(dto)2]. Europhys. Lett. 2000, 51, 82. https://doi.org/10.1209/epl/i2000-00329-2.
  19. Angle-dependent magnetoquantum oscillations in κ−(BEDT−TTF)2⁢Cu⁢[N⁢(CN)2]⁢Br𝜅subscriptBEDTTTF2Cudelimited-[]NsubscriptCN2Br\kappa-(\mathrm{B}\mathrm{E}\mathrm{D}\mathrm{T}-\mathrm{T}\mathrm{T}\mathrm{F% }{)}_{2}{\mathrm{Cu}[\mathrm{N}(\mathrm{CN})}_{2}]\mathrm{Br}italic_κ - ( roman_BEDT - roman_TTF ) start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT roman_Cu [ roman_N ( roman_CN ) start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT ] roman_Br. Phys. Rev. B 1999, 60, R16259–R16262(R). https://doi.org/10.1103/PhysRevB.60.R16259.
  20. Appearance of Beating in the Shubnikov–de Haas Oscillations of the Organic Conductor κ𝜅\kappaitalic_κ-(BEDT-TTF)2Cu(NCS)2 under Pressure. Journal of the Physical Society of Japan 2010, 79, 044716, [https://journals.jps.jp/doi/pdf/10.1143/JPSJ.79.044716]. https://doi.org/10.1143/JPSJ.79.044716.
  21. Krstovska, D. Quantum Oscillations of the Interlayer Magnetothermopower in a Q2D Organic Conductor. Journal of the Physical Society of Japan 2011, 80, 044701, [https://doi.org/10.1143/JPSJ.80.044701]. https://doi.org/10.1143/JPSJ.80.044701.
  22. Non-Lifshitz–Kosevich field- and temperature-dependent amplitude of quantum oscillations in the quasi-two dimensional metal θ𝜃\thetaitalic_θ-(ET)4ZnBr4(C6H4Cl2). Journal of Physics: Condensed Matter 2015, 27, 315601. https://doi.org/10.1088/0953-8984/27/31/315601.
  23. Fermi surface of PtCoO2subscriptPtCoO2{\mathrm{PtCoO}}_{2}roman_PtCoO start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT from quantum oscillations and electronic structure calculations. Phys. Rev. B 2020, 101, 195101. https://doi.org/10.1103/PhysRevB.101.195101.
  24. Coherent heavy charge carriers in an organic conductor near the bandwidth-controlled Mott transition. Phys. Rev. B 2023, 107, 075139. https://doi.org/10.1103/PhysRevB.107.075139.
  25. Quantum oscillations in the magnetic Weyl semimetal NdAlSi arising from strong Weyl fermion–4⁢f4𝑓4f4 italic_f electron exchange interaction. Phys. Rev. B 2023, 108, 024423. https://doi.org/10.1103/PhysRevB.108.024423.
  26. Interlayer quantum transport in Dirac semimetal BaGa2. Nature Communications 2020, 11, 2370. https://doi.org/10.1038/s41467-020-15854-0.
  27. Anomalous quantum oscillations of CeCoIn5subscriptCeCoIn5{\mathrm{CeCoIn}}_{5}roman_CeCoIn start_POSTSUBSCRIPT 5 end_POSTSUBSCRIPT in high magnetic fields. Phys. Rev. B 2021, 104, 235155. https://doi.org/10.1103/PhysRevB.104.235155.
  28. Quantum oscillations and weak anisotropic resistivity in the chiral fermion semimetal PdGa. Phys. Rev. B 2022, 106, 205120. https://doi.org/10.1103/PhysRevB.106.205120.
  29. Investigation of de Haas–van Alphen and Shubnikov–de Haas quantum oscillations in PrTe3subscriptPrTe3\mathrm{Pr}{\mathrm{Te}}_{3}roman_PrTe start_POSTSUBSCRIPT 3 end_POSTSUBSCRIPT. Phys. Rev. B 2024, 109, 035121. https://doi.org/10.1103/PhysRevB.109.035121.
  30. Probing the Fermi surface with Quantum Oscillation Measurements in the Dirac semimetal TaNiTe5, 2024, [arXiv:cond-mat.mes-hall/2403.12921].
  31. Anomalous Quantum Oscillations in a Heterostructure of Graphene on a Proximate Quantum Spin Liquid. Phys. Rev. Lett. 2021, 126, 097201. https://doi.org/10.1103/PhysRevLett.126.097201.
  32. Quantum Oscillations of Interlayer Conductivity in a Multilayer Topological Insulator. Journal of Experimental and Theoretical Physics 2023, 136, 353–367. https://doi.org/10.1134/S106377612303010X.
  33. Abrikosov, A.A. Fundamentals of the theory of metals; North-Holland Sole distributors for the USA and Canada, Elsevier Science Pub. Co: Amsterdam New York New York, NY, USA, 1988.
  34. Ziman, J.M. Principles of the theory of solids; Cambridge University Press: Cambridge England, 1972.
  35. Field-Induced Metal-Insulator Transition in a Two-Dimensional Organic Superconductor. Phys. Rev. Lett. 2001, 86, 508–511. https://doi.org/10.1103/PhysRevLett.86.508.
  36. Superconductivity and Fermi Surface Studies of β𝛽\betaitalic_β"-(BEDT-TTF)2[(H2O)(NH4)2Cr(C2O4)3]·18-Crown-6. Magnetochemistry 2023, 9. https://doi.org/10.3390/magnetochemistry9030064.
  37. Magnetic quantum oscillations of the longitudinal conductivity σzzsubscript𝜎zz\sigma_{\mathrm{zz}}italic_σ start_POSTSUBSCRIPT roman_zz end_POSTSUBSCRIPT in quasi-two-dimensional metals. Phys. Rev. B 2002, 66, 195111. https://doi.org/10.1103/PhysRevB.66.195111.
  38. Nontrivial quantum oscillation geometric phase shift in a trivial band. Sci. Adv. 2019, 5. https://doi.org/10.1126/sciadv.aax6550.
  39. Quantum oscillations in the noncentrosymmetric superconductor and topological nodal-line semimetal PbTaSe2subscriptPbTaSe2{\mathrm{PbTaSe}}_{2}roman_PbTaSe start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT. Phys. Rev. B 2019, 99, 104516. https://doi.org/10.1103/PhysRevB.99.104516.
  40. Berry phase in quantum oscillations of topological materials. Advances in Physics: X 2022. https://doi.org/10.1080/23746149.2022.2064230.
  41. Quantum oscillations and nontrivial topological properties of layered metal SrAg4Sb2. Appl. Phys. Lett. 2023, 123. https://doi.org/10.1063/5.0170167.
  42. Towards resolution of the Fermi surface in underdoped high-Tc superconductors. Reports on Progress in Physics 2012, 75, 102501. https://doi.org/10.1088/0034-4885/75/10/102501.
  43. From quantum oscillations to charge order in high-Tc copper oxides in high magnetic fields. Comptes Rendus Physique 2013, 14, 39–52. Physics in High Magnetic Fields / Physique en champ magnétique intense, https://doi.org/https://doi.org/10.1016/j.crhy.2012.11.001.
  44. Evolution of the Fermi Surface of the Electron-Doped High-Temperature Superconductor Nd2−x⁢Cex⁢CuO4subscriptNd2𝑥subscriptCe𝑥subscriptCuO4{\mathrm{Nd}}_{2-x}{\mathrm{Ce}}_{x}{\mathrm{CuO}}_{4}roman_Nd start_POSTSUBSCRIPT 2 - italic_x end_POSTSUBSCRIPT roman_Ce start_POSTSUBSCRIPT italic_x end_POSTSUBSCRIPT roman_CuO start_POSTSUBSCRIPT 4 end_POSTSUBSCRIPT Revealed by Shubnikov–de Haas Oscillations. Phys. Rev. Lett. 2009, 103, 157002. https://doi.org/10.1103/PhysRevLett.103.157002.
  45. Interplay of structure and charge order revealed by quantum oscillations in thin films of Pr2⁢CuO4±δsubscriptPr2subscriptCuOplus-or-minus4𝛿{\mathrm{Pr}}_{2}{\mathrm{CuO}}_{4\pm{}\delta}roman_Pr start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT roman_CuO start_POSTSUBSCRIPT 4 ± italic_δ end_POSTSUBSCRIPT. Phys. Rev. B 2019, 100, 235111. https://doi.org/10.1103/PhysRevB.100.235111.
  46. Carrington, A. Quantum oscillation studies of the Fermi surface of iron-pnictide superconductors. Reports on Progress in Physics 2011, 74, 124507. https://doi.org/10.1088/0034-4885/74/12/124507.
  47. Iron-based superconductors in high magnetic fields. Comptes Rendus Physique 2013, 14, 94–105. Physics in High Magnetic Fields / Physique en champ magnétique intense, https://doi.org/https://doi.org/10.1016/j.crhy.2012.07.003.
  48. de Haas–van Alphen effect in two- and quasi-two-dimensional metals and superconductors. Philos. Mag. B 2001, 81, 55–74. https://doi.org/10.1080/13642810108216525.
  49. Grigoriev, P.D. The influence of the chemical potential oscillations on the de Haas-van Alphen effect in quasi-two-dimensional compounds. J. Exp. Theor. Phys. 2001, 92, 1090–1094. https://doi.org/10.1134/1.1385651.
  50. Balthes, E. Electron correlations in the 2D multilayer organic metal k-(BEDT-TTF)2I3 in magnetic fields. Habilitation, University of Stuttgart, Germany, 2004. https://doi.org/10.18419/opus-4788.
  51. Magnetic quantum oscillations of in-plane Hall conductivity and magnetoresistance tensor in quasi-two-dimensional metals, 2023, [arXiv:cond-mat.str-el/2312.07496]. https://doi.org/10.48550/arXiv.2312.07496.
  52. Giant Angular Nernst Effect in the Organic Metal α𝛼\alphaitalic_α-(BEDT-TTF)2KHg(SCN)4. Magnetochemistry 2023, 9. https://doi.org/10.3390/magnetochemistry9010027.
  53. Quantum oscillations in kagome metals CsTi3⁢Bi5subscriptCsTi3subscriptBi5{\mathrm{CsTi}}_{3}{\mathrm{Bi}}_{5}roman_CsTi start_POSTSUBSCRIPT 3 end_POSTSUBSCRIPT roman_Bi start_POSTSUBSCRIPT 5 end_POSTSUBSCRIPT and RbTi3⁢Bi5subscriptRbTi3subscriptBi5{\mathrm{RbTi}}_{3}{\mathrm{Bi}}_{5}roman_RbTi start_POSTSUBSCRIPT 3 end_POSTSUBSCRIPT roman_Bi start_POSTSUBSCRIPT 5 end_POSTSUBSCRIPT. Phys. Rev. Mater. 2024, 8, 024003. https://doi.org/10.1103/PhysRevMaterials.8.024003.
  54. Variation of Landau level splitting in the Fermi level controlled Dirac metals (Eu,Gd)⁢MnBi2EuGdsubscriptMnBi2(\mathrm{Eu},\mathrm{Gd}){\mathrm{MnBi}}_{2}( roman_Eu , roman_Gd ) roman_MnBi start_POSTSUBSCRIPT 2 end_POSTSUBSCRIPT. Phys. Rev. B 2023, 108, 115142. https://doi.org/10.1103/PhysRevB.108.115142.
  55. Emergence of large quantum oscillation frequencies in thin flakes of the kagome superconductor CsV3⁢Sb5subscriptCsV3subscriptSb5{\mathrm{CsV}}_{3}{\mathrm{Sb}}_{5}roman_CsV start_POSTSUBSCRIPT 3 end_POSTSUBSCRIPT roman_Sb start_POSTSUBSCRIPT 5 end_POSTSUBSCRIPT. Phys. Rev. B 2022, 106, 195103. https://doi.org/10.1103/PhysRevB.106.195103.
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