橋坂研究室

東京大学 物性研究所 ナノスケール物性研究部門
Hashisaka Group @ ISSP, The University of Tokyo



論文等の成果のページ

※学会発表はこちら ⇒ PRESENTATION

※橋坂研究室メンバーを太字で記載


    2026

  1. “Quasi-One-Dimensional Electronic Nature of Ta4SiTe4 Underlying the Giant Thermoelectric Performance”
    H. Isshiki, A. Tabata, M. Horio, M. Kimata, Y. Yamakawa, R. Okuma, M. Imai, F. Matsunaga, K. Takenaka, K. Ozawa, Y. Otani, F. Komori, I. Matsuda, M. Hara, Y. Okamoto, and M. Hashisaka
    arXiv:2602.05369 arXiv
  2. “Charging energy effects on a single-edge anyon braiding detector”
    N. Demazure, F. Ronetti, B. Grémaud, L. Raymond, M. Hashisaka, T. Kato, T. Martin
    arXiv:2601.23042 arXiv
  3. “Systematic study of superconductivity in few-layer 𝑇𝑑-MoTe2”
    T. Wakamura, M. Hashisaka, Y. Nomura, M. Bard, S. Okazaki, T. Sasagawa, T. Taniguchi, K. Watanabe, K. Muraki, and N. Kumada
    Physical Review B, accepted. doi.org/10.1103/wz8l-nv8c
  4. “Multilayer Cryogenic Powder Filters with Low Parasitic Capacitance”
    I. Pradhan, H. Li, A. Rupp, Y. Sato, H. Vo Van Qui, M. Tanaka, T. Ideue, E. Bocquillon, M. Hashisaka
    Review of Scientific Instruments 97, 024703-1-5 (2026). doi.org/10.1063/5.0293088

  5. 2025

  6. “Magnetic resonance and microwave resistance modulation in the van der Waals ferrimagnet Mn3Si2Te6”
    M. Tanaka, A. Ahad, D.-A. Deaconu, V. Shah, D. Nishio-Hamane, T. Ishii, M. Hashisaka, S. Sakamoto, S. Miwa, M. S. Bahramy, and T. Ideue
    Physical Review B 112, L180401-1-8 (2025). doi.org/10.1103/pxq5-42q6
  7. “Probing anyon statistics on a single-edge loop in the fractional quantum Hall regime”
    F. Ronetti, N. Demazure, J. Rech, T. Jonckheere, B. Grémaud, L. Raymond, M. Hashisaka, T. Kato, T. Martin
    Physical Review B 112, 125166-1-17 (2025). doi.org/10.1103/tdkj-k211
  8. “Anyon braiding on the single edge of a fractional quantum Hall state”
    F. Ronetti, N. Demazure, J. Rech, T. Jonckheere, B. Grémaud, L. Raymond, M. Hashisaka, T. Kato, T. Martin
    Physical Review Letters 135, 146601-1-6 (2025). doi.org/10.1103/yq1x-kxgm
  9. “Coherent electron splitting in interacting chiral edge channels”
    E. Iyoda, T. Shimizu, and M. Hashisaka
    Physical Review B 111, 165414-1-11 (2025). doi.org/10.1103/PhysRevB.111.165414
  10. “Mach-Zehnder interference of fractionalized electron-spin excitations”
    T. Shimizu, E. Iyoda, S. Sasaki, A. Endo, S. Katsumoto, N. Kumada, and M. Hashisaka
    Physical Review B 111, L161406-1-6 (2025). doi.org/10.1103/PhysRevB.111.L161406
  11. “分数/整数量子ホール接合から紐解く分散エッジ状態の量子相”
    橋坂昌幸, 村木康二
    固体物理, vol. 60, No. 4, 171 (2025).

  12. 2024

  13. “エッジ状態のダイナミクスとエニオン統計”
    橋坂昌幸
    第68回 物性若手夏の学校テキスト, p240-250 (2024). doi.org/10.57393/natsugaku.2.0_240
  14. “On-chip transfer of ultrashort graphene plasmon wavepackets using terahertz electronics”
    K. Yoshioka, G. Bernard, T. Wakamura, M. Hashisaka, K. Sasaki, S. Sasaki, K. Watanabe, T. Taniguchi, and N. Kumada
    Nature Electronics 7, 537-544 (2024). doi.org/10.1038/s41928-024-01197-x
  15. “Gate-tunable giant superconducting nonreciprocal transport in few-layer Td-MoTe2”
    T. Wakamura, M. Hashisaka, S. Hoshino, M. Bard, S. Okazakki, T. Sasagawa, T. Taniguchi, K. Watanabe, K. Muraki, and N. Kumada
    Physical Review Research 6, 013132-1-13 (2024). doi.org/10.1103/PhysRevResearch.6.013132

  16. 2023

  17. “Coherent-incoherent crossover of charge and neutral mode transport as evidence for the disorder-dominated fractional edge phase”
    M. Hashisaka, T. Ito, T. Akiho, S. Sasaki, N. Kumada, N. Shibata, K. Muraki
    Physical Review X 13, 031024-1-15 (2023). doi.org/10.1103/PhysRevX.13.031024

  18. 2022

  19. “Fast time-domain current measurement for quantum dot charge sensing using a homemade cryogenic transimpedance amplifier”
    H. Bohuslavskyi, M. Hashisaka, T. Shimizu, T. Akiho, K. Muraki, N. Kumada
    Applied Physics Letters 121, 184003 (2022).  doi.org/10.1063/5.0118391
  20. “Ultrafast intrinsic optical-to-electrical conversion dynamics in graphene photodetector”
    K. Yoshioka, T. Wakamura, M. Hashisaka, K. Watanabe, T. Taniguchi, N. Kumada
    Nature Photonics 16, 718-723 (2022).  doi.org/10.1038/s41566-022-01058-z

  21. 2021

  22. “Homemade-HEMT-based transimpedance amplifier for high-resolution shot-noise measurements”
    T. Shimizu, M. Hashisaka, H. Bohuslavskyi, T. Akiho, N. Kumada, S. Katsumoto, and K. Muraki
    Review of Scientific Instruments 92, 124715-1-7 (2021).  doi.org/10.1063/5.0076196
  23. “Time-resolved investigation of plasmon mode along interface channels in integer and fractional quantum Hall regimes”
    C. Lin, M. Hashisaka, T. Akiho, K. Muraki, and T. Fujisawa
    Physical Review B 104, 125304-1-9 (2021).  doi.org/10.1103/PhysRevB.104.125304
  24. “Shot noise in mesoscopic systems: from single particles to quantum liquids”
    K. Kobayashi and M. Hashisaka
    Journal of the Physical Society of Japan 90, 102001-1-47 (2021) (Invited Review Paper).  doi.org/10.7566/JPSJ.90.102001
  25. “Andreev reflection of fractional quantum Hall quasiparticles”
    M. Hashisaka, T. Jonckheere, T. Akiho, S. Sasaki, J. Rech, T. Martin, and K. Muraki
    Nature Communications 12, 2794-1-7 (2021).  doi.org/10.1038/s41467-021-23160-6
  26. “Cryogenic GaAs high-electron-mobility-transistor amplifier for current noise measurements”
    S. Lee, M. Hashisaka, T. Akiho, K. Kobayashi, and K. Muraki
    Review of Scientific Instruments 92, 023910 (2021).  doi.org/10.1063/5.0036419
  27. “Quantized charge fractionalization at quantum Hall Y junctions in the disorder dominated regime”
    C. Lin, M. Hashisaka, T. Akiho, K. Muraki, and T. Fujisawa
    Nature Communications 12, 131-1-7 (2021).  doi.org/10.1038/s41467-020-20395-7

  28. 2020

  29. “On-chip coherent frequency-domain THz spectroscopy for electrical transport”
    K. Yoshioka, N. Kumada, K. Muraki, and M. Hashisaka
    Applied Physics Letters 117, 161103 (2020).  doi.org/10.1063/5.0024089
  30. “Suppression of gate screening on edge magnetoplasmons by highly resistive ZnO gate”
    N. Kumada, N.-H. Tu, K.-i. Sasaki, T. Ota, M. Hashisaka, S. Sasaki, K. Onomitsu, and K. Muraki
    Physical Review B 101, 025205 (2020).  doi.org/10.1103/PhysRevB.101.205205
  31. “Two-step breakdown of a local v = 1 quantum Hall state”
    M. Hashisaka, K. Muraki, and T. Fujisawa
    Physical Review B 101, 041303(R) (2020).  doi.org/10.1103/PhysRevB.101.041303

  32. 2019

  33. “Charge equilibration in integer and fractional quantum Hall edge channels in a generalized Hall-bar device”
    C. Lin, R. Eguchi, M. Hashisaka, T. Akiho, K. Muraki, and T. Fujisawa
    Physical Review B 99, 195304 (2019).  doi.org/10.1103/PhysRevB.99.195304
  34. “Spectroscopic study on hot-electron transport in a quantum Hall edge channel”
    T. Ota, S. Akiyama, M. Hashisaka, K. Muraki, and T. Fujisawa
    Physical Review B 99, 085310 (2019).  doi.org/10.1103/PhysRevB.99.085310

  35. 2018

  36. “Coupling between Quantum Hall Edge Channels on Opposite Sides of a Hall Bar”
    N. H. Tu, M. Hashisaka, T. Ota, Y. Sekine, K. Muraki, T. Fujisawa, and N. Kumada
    Solid State Communications 283, 32-36 (2018).  doi.org/10.1016/j.ssc.2018.08.007
  37. “Tomonaga-Luttinger-Liquid Nature of Edge Excitations in Integer Quantum Hall Edge Channels”
    M. Hashisaka, and T. Fujisawa
    Reviews in Physics 3, 32 (2018).  doi.org/10.1016/j.revip.2018.07.001
  38. “Electronic energy spectroscopy of monochromatic edge magnetoplasmons in the quantum Hall regime”
    T. Ota, M. Hashisaka, K. Muraki, and T. Fujisawa
    Journal of Physics: Condensed Matter 30, 345301 (2018).  doi.org/10.1088/1361-648X/aad220
  39. “Signatures of a non-thermal metastable state in copropagating quantum Hall edge channels”
    K. Itoh, R. Nakazawa, T. Ota, M. Hashisaka, K. Muraki, and T. Fujisawa
    Physical Review Letters 120, 197701 (2018).  doi.org/10.1103/PhysRevLett.120.197701

  40. 2017

  41. “朝永・ラッティンジャー液体における電荷・スピン密度波束の観測実験”
    橋坂昌幸, 藤澤利正
    日本物理学会誌, vol. 72, 805 (2017) (表紙掲載).
  42. “Two-electron double quantum dot coupled to coherent photon and phonon fields”
    Y. Sato, J. C. H. Chen, M. Hashisaka, K. Muraki, and T. Fujisawa
    Physical Review B 96, 115416 (2017).  doi.org/10.1103/PhysRevB.96.115416
  43. “Charge fractionalization in artificial Tomonaga-Luttinger liquids with controlled interaction strength”
    P. Brasseur, N. H. Tu, Y. Sekine, K. Muraki, M. Hashisaka, T. Fujisawa, and N. Kumada
    Physical Review B 96, 081101(R) (2017).  doi.org/10.1103/PhysRevB.96.081101
  44. “Negative and positive cross-correlations of current noises in quantum Hall edge channels at bulk filling factor v = 1”
    T. Ota, M. Hashisaka, K. Muraki, and T. Fujisawa
    Journal of Physics: Condensed Matter 29, 225302-1 (2017).  doi.org/10.1088/1361-648X/aa6cc0
  45. “Waveform measurement of charge- and spin-density wavepackets in a chiral Tomonaga-Luttinger liquid”
    M. Hashisaka, N. Hiyama, T. Akiho, K. Muraki, and T. Fujisawa
    Nature Physics 13, 559 (2017).  doi.org/10.1038/nphys4062

  46. 2016

  47. “局所分数量子ホール系における分数電荷準粒子のトンネル現象”
    橋坂昌幸, 太田智明, 村木康二, 藤澤利正
    固体物理, vol. 51, No. 2, 127 (2016).
  48. “Long-lived binary tunneling spectrum in the quantum Hall Tomonaga-Luttinger liquid”
    K. Washio, R. Nakazawa, M. Hashisaka, K. Muraki, Y. Tokura, and T. Fujisawa
    Physical Review B 93, 075304 (2016).  doi.org/10.1103/PhysRevB.93.075304

  49. 2015

  50. “Exchange-induced spin blockadein a two-electron double quantum dot”
    D. Imanaka, S. Sharmin, M. Hashisaka, K. Muraki, and T. Fujisawa
    Physical Review Letters 115, 176802 (2015).  doi.org/10.1103/PhysRevLett.115.176802
  51. “Enhanced electron-phonon coupling for a semiconductor charge qubit in a surface phonon cavity”
    J. C. H. Chen, Y. Sato, R. Kosaka, M. Hashisaka, K. Muraki, and T. Fujisawa
    Scientific Reports 5, 15176 (2015).  doi.org/10.1038/srep15176
  52. “An edge magnetoplasmon Mach-Zehnder interferometer”
    N. Hiyama, M. Hashisaka, and T. Fujisawa
    Applied Physics Letters 107, 143101 (2015).  doi.org/10.1063/1.4932111
  53. “Shot-noise evidence of fractional quasiparticle creation in a local fractional quantum Hall state”
    M. Hashisaka, T. Ota, K. Muraki, and T. Fujisawa
    Physical Review Letters 114, 056802 (2015).  doi.org/10.1103/PhysRevLett.114.056802

  54. 2014

  55. “Resonant edge magnetoplasmons and their decay in graphene”
    N. Kumada, P. Roulleau, B. Roche, M. Hashisaka, H. Hibino, I. Petkovic, and D. C. Glattli
    Physical Review Letters 113, 26601 (2014).  doi.org/10.1103/PhysRevLett.113.266601
  56. “Spin-dependent tunneling rates for electrostatically defined GaAs quantum dot”
    M. Yamagishi, N. Watase, M. Hashisaka, K. Muraki, and T. Fujisawa
    Physical Review B 90, 035306 (2014).  doi.org/10.1103/PhysRevB.90.035306
  57. “Plasmon transport and its guiding in graphene”
    N. Kumada, R. Dubourget, K. Sasaki, S. Tanabe, H. Hibino, H. Kamata, M. Hashisaka, K. Muraki, and T. Fujisawa
    New Journal of Physics, 16, 063055 (2014).  doi.org/10.1088/1367-2630/16/6/063055
  58. “量子ホール端における電荷密度波のダイナミクス”
    橋坂昌幸, 鎌田大, 藤澤利正, 熊田倫雄, 村木康二
    固体物理, vol. 49, No. 5, 359 (2014).
  59. “Cross-correlation measurement of quantum shot noise using homemade transimpedance amplifiers”
    M. Hashisaka, T. Ota, M. Yamagishi, K. Muraki, and T. Fujisawa
    Review of Scientific Instruments 85, 054704 (2014).  doi.org/10.1063/1.4875588
  60. “Fractionalized wave packets from an artificial Tomonaga-Luttinger liquid”
    H. Kamata, N. Kumada, M. Hashisaka, K. Muraki, and T. Fujisawa
    Nature Nanotechnology 9, 177 (2014).  doi.org/10.1038/nnano.2013.312
  61. “Single-electron counting statistics with a finite frequency bandwidth”
    N. Watase, M. Hashisaka, K. Muraki, and T. Fujisawa
    Japanese Journal of Applied Physics 53, 04EJ01 (2014).  doi.org/10.7567/JJAP.53.04EJ01

  62. 2013

  63. “Distributed-element circuit model of edge magnetoplasmon transport”
    M. Hashisaka, H. Kamata, N. Kumada, K. Washio, R. Murata, K. Muraki, and T. Fujisawa
    Physical Review B 88, 235409 (2013).  doi.org/10.1103/PhysRevB.88.235409
  64. “Plasmon transport in graphene investigated by time-resolved electrical measurements”
    N. Kumada, S. Tanabe, H. Hibino, H. Kamata, M. Hashisaka, K. Muraki, and T. Fujisawa
    Nature Communications 4, 1363 (2013).  doi.org/10.1038/ncomms2353

  65. 2012

  66. “Frequancy conversion of rf edge magnetoplasmons using a quantum point contact”
    M. Hashisaka, R. Murata, K. Muraki, and T. Fujisawa
    Applied Physics Letters 100, 233501 (2012).  doi.org/10.1063/1.4726136
  67. “Distributed electrochemical capacitance evidenced in high-frequency admittance measurements on a quantum Hall device”
    M. Hashisaka, K. Washio, H. Kamata, K. Muraki, and T. Fujisawa
    Physical Review B 85, 155424 (2012).  doi.org/10.1103/PhysRevB.85.155424
  68. “Correlation of 1/f noise between semiconductor point contacts with a common lead”
    M. Yamagishi, M. Hashisaka,K. Muraki, and T. Fujisawa
    Japanese Journal of Applied Physics 51, 02BJ08 (2012).  doi.org/10.1143/JJAP.51.02BJ08
  69. “Shot noise induced by electron-nuclear spin-flip scattering in a non-equilibrium quantum wire”
    K. Chida, M. Hashisaka, Y. Yamauchi, S. Nakamura, T. Arakawa, T. Machida, K. Kobayashi and T. Ono
    Physical Review B 85, 041309(R) (2012).  doi.org/10.1103/PhysRevB.85.041309

  70. 2011

  71. “Non-equilibrium transport in a quantum wire in the quantum Hall regime”
    K. Chida, M. Hashisaka, Y. Yamauchi, S. Nakamura, T. Arakawa, T. Machida, K. Kobayashi and T. Ono
    Journal of Physics: Conference Series 334, 012031 (2011).  doi.org/10.1088/1742-6596/334/1/012031
  72. “Time resolved potential measurement at quantum point contacts under irradiation of surface acoustic burst wave”
    T. Fujisawa, K. Nishio, T. Nagase, M. Hashisaka, and K. Muraki
    AIP Conference Proceedings 1399, 269 (2011).  doi.org/10.1063/1.3666357
  73. “Dispersive lineshape of the resistively detected NMR in a quantum wire in the quantum Hall regime”
    K. Chida, M. Hashisaka, Y. Yamauchi, S. Nakamura, T. Arakawa, T. Machida, K. Kobayashi and T. Ono
    AIP Conference Proceedings 1399, 675 (2011).  doi.org/10.1063/1.3666557
  74. “Non-equilibrium fluctuation relation in a quantum coherent conductor”
    S. Nakamura, Y. Yamauchi, M. Hashisaka, K. Chida, K. Kobayashi, T. Ono, R. Leturcq, K. Ensslin, K. Saito, Y. Utsumi, A. C. Gossard
    AIP Conference Proceedings 1399, 329 (2011).  doi.org/10.1063/1.3666387
  75. “Fluctuation theorem and microreversibility in a quantum coherent conductor”
    S. Nakamura, Y. Yamauchi, M. Hashisaka, K. Chida, K. Kobayashi, T. Ono, R. Leturcq, K. Ensslin, K. Saito, Y. Utsumi, A. C. Gossard
    Physical Review B 83, 155431 (2011).  doi.org/10.1103/PhysRevB.83.155431
  76. “Admittance Measurement for a Quantum Point Contact in a Multi-terminal Quantum Hall Device”
    K. Washio, M. Hashisaka, H. Kamata, K. Muraki, and T. Fujisawa
    Japanese Journal of Applied Physics 50, 04DJ04 (2011).  doi.org/10.1143/JJAP.50.04DJ04
  77. “Interferometric detection of edge magnetoplasmons in AlGaAs/GaAs heterostructures”
    M. Hashisaka, K. Washio, H. Kamata, K. Muraki, and T. Fujisawa
    Physica Status Solidi (C) 8, 381 (2011).  doi.org/10.1002/pssc.201000477

  78. 2010

  79. “Temperature dependence of the visibility in an electronic Mach-Zehnder interferometer”
    M. Hashisaka, A. Helzel, S. Nakamura, L. Litvin, Y. Yamauchi, K. Kobayashi, T. Ono, H. -P. Tranitz, W. Wegscheider, C. Strunk
    Physica E 42, 1091 (2010).  doi.org/10.1016/j.physe.2009.11.072
  80. “Nonequilibrium Fluctuation Relations in a Quantum Coherent Conductor”
    S. Nakamura, Y. Yamauchi, M. Hashisaka, K. Chida, K. Kobayashi, T. Ono, R. Leturcq, K. Ensslin, K. Saito, Y. Utsumi, A. C. Gossard
    Physical Review Letters 104, 080602 (2010).  doi.org/10.1103/PhysRevLett.104.080602
  81. “Bolometric shot noise detection in coupled quantum contacts”
    M. Hashisaka, Y. Yamauchi, S. Nakamura, S. Kasai, T. Ono, K. Kobayashi
    AIP conference proceedings 1199, 367 (2010).  doi.org/10.1063/1.3295455
  82. “Spin Polarization in a curvature-controlled quantum point contact”
    S. Nakamura, M. Hashisaka, Y. Yamauchi, S. Kasai, T. Ono, K. Kobayashi
    AIP conference proceedings 1199, 451 (2010).  doi.org/10.1063/1.3295500

  83. 2009

  84. “Noise measurement system at electron temperature down to 20 mK with combinations of the low pass filters”
    M. Hashisaka, Y. Yamauchi, K. Chida, S. Nakamura, K. Kobayashi, T. Ono
    Review of Scientific Instruments 80, 096105 (2009).  doi.org/10.1063/1.3227029
  85. “Non-equilibrium dephasing in ballistic interferometers”
    Y. Yamauchi, M. Hashisaka, S. Nakamura, K. Chida, S. Kasai, T. Ono, R. Leturcq, K. Ensslin, D. C. Driscoll, A. C. Gossard, K. Kobayashi
    Journal of Physics: Conference Series 193, 012045 (2009).  doi.org/10.1088/1742-6596/193/1/012045
  86. “Conductance anomaly and Fano factor reduction in quantum point contacts”
    S. Nakamura, M. Hashisaka, Y. Yamauchi, S. Kasai, T. Ono, K. Kobayashi
    Physical Review B 79, 201308(R) (2009).  doi.org/10.1103/PhysRevB.79.201308
  87. “Universality of Bias- and Temperature-induced Dephasing in Ballistic Electronic Interferometers”
    Y. Yamauchi, M. Hashisaka, S. Nakamura, K. Chida, S. Kasai, T. Ono, R. Leturcq, K. Ensslin, D. C. Driscoll, A. C. Gossard, and K. Kobayashi
    Physical Review B 79, 161306(R) (2009).  doi.org/10.1103/PhysRevB.79.161306

  88. 2008

  89. “Bolometric Detection of Quantum Shot Noise in Coupled Mesoscopic Systems”
    M. Hashisaka, Y. Yamauchi, S. Nakamura, S. Kasai, T. Ono, K. Kobayashi
    Physical Review B 78, 241303(R) (2008).  doi.org/10.1103/PhysRevB.78.241303
  90. “Measurement for quantum shot noise in a quantum point contact at low temperatures”
    M. Hashisaka, Y. Yamauchi, S. Nakamura, S. Kasai, K. Kobayashi, T. Ono
    Journal of Physics: Conference Series 109, 012013 (2008).  doi.org/10.1088/1742-6596/109/1/012013
  91. “Development of a measurement system for quantum shot noise at low temperatures”
    M. Hashisaka, S. Nakamura, Y. Yamauchi, S. Kasai, K. Kobayashi, T. Ono
    Physica Status Solidi (C) 5, 182 (2008).  doi.org/10.1002/pssc.200776535

  92. 2007

  93. “Spin-filtering effect of ferromagnetic semiconductor La2NiMnO6”
    M. Hashisaka, D. Kan, A. Masuno, T. Terashima, M. Takano K. Mibu
    Journal of Magnetism and Magnetic Materials 310, 1975 (2007).  doi.org/10.1016/j.jmmm.2006.11.007
  94. “Multiferroic thin film of Bi2NiMnO6 with ordered double-perovskite structure”
    M. Sakai, A. Masuno, D. Kan, M. Hashisaka, K. Takata, M. Azuma, M. Takano, Y. Shimakawa
    Applied Physics Letters 90, 072903 (2007).  doi.org/10.1063/1.2539575

  95. 2006

  96. “Epitaxial growth of ferromagnetic La2NiMnO6 with ordered double-perovskite structure”
    M. Hashisaka, D. Kan, A. Masuno, M. Takano, Y. Shimakawa, T. Terashima, K. Mibu
    Applied Physics Letters 89, 032504 (2006).  doi.org/10.1063/1.2226997

  97. 2005

  98. “New ferromagnetic ferroelectric Bi2NiMnO6 compound with double-perovskite structure”
    Y. Shimakawa, M. Azuma, K. Takata, M. Hashisaka, D. Kan, A. Masuno, M. Sakai, T. Terashima, K. Mibu, M. Takano
    Proc. In 12th US-Japan Seminar on Dielectric & Piezoelectric Ceramics 203, (2005).