Particles and collective behavior
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摘要: 布洛赫电子的运动受到贝里曲率的影响，已是人们熟知的量子几何效应。凝聚态系统中的各种集体行为，以及它们与电子系统的耦合，为量子几何现象的探索提供了更加广阔的舞台。针对几种典型的对称破缺状态，文章就下列方向中的有关研究和应用作出简略回顾和展望，包括晶格振动与声子、磁化动力学与自旋波、玻色凝聚体与量子涡旋、超导序参量与准粒子以及晶格形变与人工引力。Abstract: The influence of Berry curvature on the motion of Bloch electrons is a well-established quantum geometric effect. However, the diverse collective behaviors within condensed matter systems, along with their coupling to electron dynamics, offer an even broader platform for exploring quantum geometric phenomena. In this article, we provide a concise review and outlook on the study of quantum geometric effects across several typical symmetry-breaking states, including lattice vibrations and phonons, magnetization dynamics and spin waves, Bose-Einstein condensates and quantum vortices, superconducting order parameters and quasiparticles, as well as lattice deformations and artificial gravity.
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[1] 冯端, 金国均. 凝聚态物理学. 北京:高等教育出版社, 2013 [2] Anderson P W. Basic Notions of Condensed Matter Physics. CRC Press, 2019
[3] Sundaram G, Niu Q. Phys. Rev. B, 1999, 59:14915
[4] Xiao D, Chang M C, Niu Q. Rev. Mod. Phys., 2010, 82:1959
[5] 黄昆. 固体物理学. 北京:高等教育出版社, 1966 [6] Kittel C. Introduction to Solid State Physics. Wiley, 2018
[7] Zhang L, Niu Q. Phys. Rev. Lett., 2015, 115:115502
[8] Zhang L, Ren J, Wang J S et al. Phys. Rev. Lett., 2010, 105:225901
[9] Qin T, Zhou J, Shi J. Phys. Rev. B, 2012, 86:104305
[10] Zhang L, Niu Q. Phys. Rev. Lett., 2014, 112:085503
[11] Tauchert S R, Volkov M, Ehberger D et al. Nature, 2022, 602:73
[12] Cheng B, Schumann T, Wang Y et al. Nano Lett., 2020, 20:5991
[13] Ren Y, Xiao C, Saparov D et al. Phys. Rev. Lett., 2021, 127:186403
[14] Saparov D, Xiong B, Ren Y et al. Phys. Rev. B, 2022, 105:064303
[15] Born M, Huang K. Dynamical Theory of Crystal Lattices. Oxford University Press, 1996
[16] Mead C A, Truhlar D G. J. Chem. Phys., 1979, 70:2284
[17] Heisenberg W. Z. Phys., 1928, 49:619
[18] Bloch F. Z. Phys., 1929, 57:545
[19] Landau L D, Lifshitz E. Phys. Z. Sowjet., 1935, 8:153
[20] Gilbert T L. Phys. Rev., 1955, 100:1243
[21] Niu Q, Kleinman L. Phys. Rev. Lett., 1998, 80:2205
[22] Niu Q, Wang X, Kleinman L et al. Phys. Rev. Lett., 1999, 83:207
[23] Xiong B, Chen H, Li X et al. Phys. Rev. B, 2018, 98:035123
[24] Cheng R, Niu Q. Phys. Rev. B, 2013, 88:24422
[25] Xiao C, Xiong B, Niu Q. Phys. Rev. B, 2021, 104:064433
[26] Tang J, Cheng R. Phys. Rev. Lett., 2024, 132:136701
[27] Bylander D M et al. Phys. Rev. B, 2000, 61:R11875
[28] Yu Y, Niu Q. 2000, arXiv:cond-mat/0003293
[29] Cheng R, Niu Q. Phys. Rev. B, 2014, 89:81105
[30] Cheng R, Niu Q. Phys. Rev. B, 2012, 86:245118
[31] Lin Y, Feng J. 2024, arXiv:2402.05473
[32] Griffin A et al. Bose-Einstein Condensation. Cambridge:Cambridge University Press, 1996
[33] Anderson M H et al. Science, 1995, 269:198
[34] Davis K B et al. Phys. Rev. Lett., 1995, 75:3969
[35] Gross E P. Nuovo Cim, 1961, 20:454
[36] Pitaevskii P P. JETP, 1961, 13:451
[37] Bogoliubov N N. J. Phys. (USSR), 1947, 11:23
[38] Feynman R P. Phys. Rev., 1954, 94:262
[39] Ao P, Thouless D J. Phys. Rev. Lett., 1993, 70:2158
[40] Tisza L. Nature, 1938, 141:913
[41] Thouless D J, Ao P, Niu Q. Phys. Rev. Lett., 1996, 76:3758
[42] Zhang C et al. Phys. Rev. Lett., 2006, 97:040401
[43] Choi D I, Niu Q. Phys. Rev. Lett., 1999, 82:2022
[44] Liu J, Wu B, Niu Q. Phys. Rev. Lett., 2003, 90:170404
[45] Wu B, Niu Q. Phys. Rev. A, 2000, 61:023402
[46] Wu B, Niu Q. New J. Phys., 2003, 5:104
[47] Wu B, Niu Q. Phys. Rev. A, 2001, 64:061603
[48] Onnes H K. Comm. Phys. Lab. Univ. Leiden, 1911, No. 120b; No. 122b;No. 124c
[49] Meissner W, Ochsenfeld R. Naturwissenschaften, 1933, 21:787
[50] Landau L D, Ginzburg V L. Zh. Eksp. Teor. Fiz., 1950, 20:1064
[51] London F, London H. Proc. R. Soc. Lond. A, 1935, 149:71
[52] Cooper L N. Phys. Rev., 1956, 104:1189
[53] Bardeen J et al. Phys. Rev., 1957, 108:1175
[54] Bogoliubov N N. Sov. Phys. JETP, 1958, 7:41
[55] Volovik G E. The Universe in a Helium Droplet. Oxford University Press, 2009
[56] Read N, Green D. Phys. Rev. B, 2000, 61:10267
[57] Kitaev A Y. Phys.-Usp., 2001, 44:131
[58] Schnyder A P et al. Phys. Rev. B, 2008, 78:195125
[59] Fu L, Kane C L. Phys. Rev. Lett., 2008, 100:096407
[60] Flensberg K et al. Nat. Rev. Mater., 2021, 6:944
[61] Kong L Y, Ding H. Acta Phys. Sin., 2020, 69:110301
[62] Wang Z et al. Phys. Rev. Lett., 2021, 126:187001
[63] Dong L, Niu Q. Phys. Rev. B, 2018, 98:115162
[64] Gao Q, Niu Q. Phys. Rev. B, 2022, 106:224311
[65] Dong L. Geometrodynamics in crystals with space-time periodicity and deformation. PhD Thesis, The University of Texas at Austin, 2021
[66] Li A, Dong L, Niu Q. 2023, arXiv:2310.16918
[67] Bonini J et al. Phys. Rev. Lett., 2023, 130:086701
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