Abstract
The QCD axion or axion-like particles are candidates of dark matter of the universe. On the other hand, axion-like excitations exist in certain condensed matter systems, which implies that there can be interactions of dark matter particles with condensed matter axions. We discuss the relationship between the condensed matter axion and a collective spin-wave excitation in an anti-ferromagnetic insulator at the quantum level. The conversion rate of the light dark matter, such as the elementary particle axion or hidden photon, into the condensed matter axion is estimated for the discovery of the dark matter signals.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
R. D. Peccei and H. R. Quinn, CP Conservation in the Presence of Instantons, Phys. Rev. Lett. 38 (1977) 1440 [INSPIRE].
S. Weinberg, A New Light Boson?, Phys. Rev. Lett. 40 (1978) 223 [INSPIRE].
F. Wilczek, Problem of Strong P and T Invariance in the Presence of Instantons, Phys. Rev. Lett. 40 (1978) 279 [INSPIRE].
J. Preskill, M. B. Wise and F. Wilczek, Cosmology of the Invisible Axion, Phys. Lett. B 120 (1983) 127 [INSPIRE].
L. F. Abbott and P. Sikivie, A Cosmological Bound on the Invisible Axion, Phys. Lett. B 120 (1983) 133 [INSPIRE].
M. Dine and W. Fischler, The Not So Harmless Axion, Phys. Lett. B 120 (1983) 137 [INSPIRE].
J. E. Kim, Light Pseudoscalars, Particle Physics and Cosmology, Phys. Rept. 150 (1987) 1 [INSPIRE].
J. E. Kim and G. Carosi, Axions and the Strong CP Problem, Rev. Mod. Phys. 82 (2010) 557 [Erratum ibid. 91 (2019) 049902] [arXiv:0807.3125] [INSPIRE].
M. Kawasaki and K. Nakayama, Axions: Theory and Cosmological Role, Ann. Rev. Nucl. Part. Sci. 63 (2013) 69 [arXiv:1301.1123] [INSPIRE].
P. Svrček and E. Witten, Axions In String Theory, JHEP 06 (2006) 051 [hep-th/0605206] [INSPIRE].
A. Arvanitaki, S. Dimopoulos, S. Dubovsky, N. Kaloper and J. March-Russell, String Axiverse, Phys. Rev. D 81 (2010) 123530 [arXiv:0905.4720] [INSPIRE].
M. Cicoli, M. Goodsell and A. Ringwald, The type IIB string axiverse and its low-energy phenomenology, JHEP 10 (2012) 146 [arXiv:1206.0819] [INSPIRE].
P. Sikivie, Experimental Tests of the Invisible Axion, Phys. Rev. Lett. 51 (1983) 1415 [Erratum ibid. 52 (1984) 695] [INSPIRE].
R. Bradley et al., Microwave cavity searches for dark-matter axions, Rev. Mod. Phys. 75 (2003) 777 [INSPIRE].
ADMX collaboration, A SQUID-based microwave cavity search for dark-matter axions, Phys. Rev. Lett. 104 (2010) 041301 [arXiv:0910.5914] [INSPIRE].
HAYSTAC collaboration, Results from phase 1 of the HAYSTAC microwave cavity axion experiment, Phys. Rev. D 97 (2018) 092001 [arXiv:1803.03690] [INSPIRE].
B. T. McAllister, G. Flower, E. N. Ivanov, M. Goryachev, J. Bourhill and M. E. Tobar, The ORGAN Experiment: An axion haloscope above 15 GHz, Phys. Dark Univ. 18 (2017) 67 [arXiv:1706.00209] [INSPIRE].
D. Alesini, D. Babusci, D. Di Gioacchino, C. Gatti, G. Lamanna and C. Ligi, The KLASH Proposal, arXiv:1707.06010 [INSPIRE].
Y. K. Semertzidis et al., Axion Dark Matter Research with IBS/CAPP, arXiv:1910.11591 [INSPIRE].
D. Horns, J. Jaeckel, A. Lindner, A. Lobanov, J. Redondo and A. Ringwald, Searching for WISPy Cold Dark Matter with a Dish Antenna, JCAP 04 (2013) 016 [arXiv:1212.2970] [INSPIRE].
J. Jaeckel and J. Redondo, Resonant to broadband searches for cold dark matter consisting of weakly interacting slim particles, Phys. Rev. D 88 (2013) 115002 [arXiv:1308.1103] [INSPIRE].
MADMAX Working Group collaboration, Dielectric Haloscopes: A New Way to Detect Axion Dark Matter, Phys. Rev. Lett. 118 (2017) 091801 [arXiv:1611.05865] [INSPIRE].
Y. Kahn, B. R. Safdi and J. Thaler, Broadband and Resonant Approaches to Axion Dark Matter Detection, Phys. Rev. Lett. 117 (2016) 141801 [arXiv:1602.01086] [INSPIRE].
I. Obata, T. Fujita and Y. Michimura, Optical Ring Cavity Search for Axion Dark Matter, Phys. Rev. Lett. 121 (2018) 161301 [arXiv:1805.11753] [INSPIRE].
K. Nagano, T. Fujita, Y. Michimura and I. Obata, Axion Dark Matter Search with Interferometric Gravitational Wave Detectors, Phys. Rev. Lett. 123 (2019) 111301 [arXiv:1903.02017] [INSPIRE].
M. Lawson, A. J. Millar, M. Pancaldi, E. Vitagliano and F. Wilczek, Tunable axion plasma haloscopes, Phys. Rev. Lett. 123 (2019) 141802 [arXiv:1904.11872] [INSPIRE].
M. Zarei, S. Shakeri, M. Abdi, D. J. E. Marsh and S. Matarrese, Probing Virtual Axion-Like Particles by Precision Phase Measurements, arXiv:1910.09973 [INSPIRE].
D. Budker, P. W. Graham, M. Ledbetter, S. Rajendran and A. Sushkov, Proposal for a Cosmic Axion Spin Precession Experiment (CASPEr), Phys. Rev. X 4 (2014) 021030 [arXiv:1306.6089] [INSPIRE].
R. Barbieri, M. Cerdonio, G. Fiorentini and S. Vitale, Axion to magnon conversion: a scheme for the detection of galactic axions, Phys. Lett. B 226 (1989) 357 [INSPIRE].
A. I. Kakhidze and I. V. Kolokolov, Antiferromagnetic axions detector, Sov. Phys. JETP 72 (1991) 598 [INSPIRE].
P. V. Vorobev, A. I. Kakhidze and I. V. Kolokolov, Axion wind: A Search for cosmological axion condensate, Phys. Atom. Nucl. 58 (1995) 959 [INSPIRE].
R. Barbieri et al., Searching for galactic axions through magnetized media: the QUAX proposal, Phys. Dark Univ. 15 (2017) 135 [arXiv:1606.02201] [INSPIRE].
QUAX collaboration, Axion search with a quantum-limited ferromagnetic haloscope, Phys. Rev. Lett. 124 (2020) 171801 [arXiv:2001.08940] [INSPIRE].
M. Goryachev, B. Mcallister and M. E. Tobar, Axion detection with precision frequency metrology, Phys. Dark Univ. 26 (2019) 100345 [Erratum ibid. 32 (2021) 100787] [arXiv:1806.07141] [INSPIRE].
M. E. Tobar, B. T. McAllister and M. Goryachev, Modified Axion Electrodynamics as Impressed Electromagnetic Sources Through Oscillating Background Polarization and Magnetization, Phys. Dark Univ. 26 (2019) 100339 [arXiv:1809.01654] [INSPIRE].
M. E. Tobar, B. T. McAllister and M. Goryachev, Broadband Electrical Action Sensing Techniques with conducting wires for low-mass dark matter axion detection, Phys. Dark Univ. 30 (2020) 100624 [arXiv:2004.06984] [INSPIRE].
M. P. Hertzberg, Y. Li and E. D. Schiappacasse, Merger of Dark Matter Axion Clumps and Resonant Photon Emission, JCAP 07 (2020) 067 [arXiv:2005.02405] [INSPIRE].
S. Chigusa, T. Moroi and K. Nakayama, Detecting light boson dark matter through conversion into a magnon, Phys. Rev. D 101 (2020) 096013 [arXiv:2001.10666] [INSPIRE].
D. J. E. Marsh, K.-C. Fong, E. W. Lentz, L. Smejkal and M. N. Ali, Proposal to Detect Dark Matter using Axionic Topological Antiferromagnets, Phys. Rev. Lett. 123 (2019) 121601 [arXiv:1807.08810] [INSPIRE].
F. Wilczek, Two Applications of Axion Electrodynamics, Phys. Rev. Lett. 58 (1987) 1799 [INSPIRE].
R. Li, J. Wang, X. Qi and S.-C. Zhang, Dynamical Axion Field in Topological Magnetic Insulators, Nature Phys. 6 (2010) 284 [arXiv:0908.1537] [INSPIRE].
A. Sekine and K. Nomura, Axion Electrodynamics in Topological Materials, J. Appl. Phys. 129 (2021) 141101 [arXiv:2011.13601] [INSPIRE].
D. M. Nenno, C. A. C. Garcia, J. Gooth, C. Felser and P. Narang, Axion physics in condensed-matter systems, Nature Rev. Phys. 2 (2020) 682.
C. L. Kane and E. J. Mele, Z-2 Topological Order and the Quantum Spin Hall Effect, Phys. Rev. Lett. 95 (2005) 146802 [cond-mat/0506581] [INSPIRE].
L. Fu, C. Kane and E. Mele, Topological Insulators in Three Dimensions, Phys. Rev. Lett. 98 (2007) 106803 [cond-mat/0607699] [INSPIRE].
L. Fu and C. L. Kane, Topological insulators with inversion symmetry, Physical Review B 76 (2007) 045302.
M. Z. Hasan and C. L. Kane, Topological Insulators, Rev. Mod. Phys. 82 (2010) 3045 [arXiv:1002.3895] [INSPIRE].
X. L. Qi and S. C. Zhang, Topological insulators and superconductors, Rev. Mod. Phys. 83 (2011) 1057 [arXiv:1008.2026] [INSPIRE].
A. B. Bernevig and T. L. Hughes, Topological insulators and topological superconductors, Princeton University Press, Princeton, NJ, U.S.A. (2013).
C. L. Kane and E. J. Mele, Quantum Spin Hall Effect in Graphene, Phys. Rev. Lett. 95 (2005) 226801 [cond-mat/0411737] [INSPIRE].
B. A. Bernevig, T. L. Hughes and S.-C. Zhang, Quantum spin hall effect and topological phase transition in hgte quantum wells, Science 314 (2006) 1757.
A. Sekine and K. Nomura, Axionic Antiferromagnetic Insulator Phase in a Correlated and Spin–Orbit Coupled System, J. Phys. Soc. Jap. 83 (2014) 104709 [arXiv:1401.4523] [INSPIRE].
C. Kittel, Theory of antiferromagnetic resonance, Phys. Rev. 82 (1951) 565.
F. Keffer and C. Kittel, Theory of antiferromagnetic resonance, Phys. Rev. 85 (1952) 329.
J. J. Quinn and K.-S. Yi, Solid State Physics: Principles and Modern Applications, Springer, Berlin, Heidelberg (2009), https://doi.org/10.1007/978-3-540-92231-5.
H. Watanabe and H. Murayama, Unified Description of Nambu-Goldstone Bosons without Lorentz Invariance, Phys. Rev. Lett. 108 (2012) 251602 [arXiv:1203.0609] [INSPIRE].
Y. Hidaka, Counting rule for Nambu-Goldstone modes in nonrelativistic systems, Phys. Rev. Lett. 110 (2013) 091601 [arXiv:1203.1494] [INSPIRE].
S. P. Bayrakci et al., Lifetimes of antiferromagnetic magnons in two and three dimensions: Experiment, theory, and numerics, Physical Review Letters 111 (2013) 017204.
S. Komiyama, O. Astafiev, V. Antonov, T. Kutsuwa and H. Hirai, A single-photon detector in the far-infrared range, Nature 403 (2000) 405.
OSQAR collaboration, New exclusion limits on scalar and pseudoscalar axionlike particles from light shining through a wall, Phys. Rev. D 92 (2015) 092002 [arXiv:1506.08082] [INSPIRE].
F. Della Valle et al., The PVLAS experiment: measuring vacuum magnetic birefringence and dichroism with a birefringent Fabry–Perot cavity, Eur. Phys. J. C 76 (2016) 24 [arXiv:1510.08052] [INSPIRE].
CAST collaboration, New CAST Limit on the Axion-Photon Interaction, Nature Phys. 13 (2017) 584 [arXiv:1705.02290] [INSPIRE].
J. Schütte-Engel et al., Axion Quasiparticles for Axion Dark Matter Detection, arXiv:2102.05366 [INSPIRE].
P. W. Graham, J. Mardon and S. Rajendran, Vector Dark Matter from Inflationary Fluctuations, Phys. Rev. D 93 (2016) 103520 [arXiv:1504.02102] [INSPIRE].
Y. Ema, K. Nakayama and Y. Tang, Production of purely gravitational dark matter: the case of fermion and vector boson, JHEP 07 (2019) 060 [arXiv:1903.10973] [INSPIRE].
A. Ahmed, B. Grzadkowski and A. Socha, Gravitational production of vector dark matter, JHEP 08 (2020) 059 [arXiv:2005.01766] [INSPIRE].
E. W. Kolb and A. J. Long, Completely dark photons from gravitational particle production during the inflationary era, JHEP 03 (2021) 283 [arXiv:2009.03828] [INSPIRE].
A. J. Long and L.-T. Wang, Dark Photon Dark Matter from a Network of Cosmic Strings, Phys. Rev. D 99 (2019) 063529 [arXiv:1901.03312] [INSPIRE].
P. Agrawal, N. Kitajima, M. Reece, T. Sekiguchi and F. Takahashi, Relic Abundance of Dark Photon Dark Matter, Phys. Lett. B 801 (2020) 135136 [arXiv:1810.07188] [INSPIRE].
J. A. Dror, K. Harigaya and V. Narayan, Parametric Resonance Production of Ultralight Vector Dark Matter, Phys. Rev. D 99 (2019) 035036 [arXiv:1810.07195] [INSPIRE].
R. T. Co, A. Pierce, Z. Zhang and Y. Zhao, Dark Photon Dark Matter Produced by Axion Oscillations, Phys. Rev. D 99 (2019) 075002 [arXiv:1810.07196] [INSPIRE].
M. Bastero-Gil, J. Santiago, L. Ubaldi and R. Vega-Morales, Vector dark matter production at the end of inflation, JCAP 04 (2019) 015 [arXiv:1810.07208] [INSPIRE].
S. Knapen, T. Lin, M. Pyle and K. M. Zurek, Detection of Light Dark Matter With Optical Phonons in Polar Materials, Phys. Lett. B 785 (2018) 386 [arXiv:1712.06598] [INSPIRE].
Y. Hochberg et al., Detection of sub-MeV Dark Matter with Three-Dimensional Dirac Materials, Phys. Rev. D 97 (2018) 015004 [arXiv:1708.08929] [INSPIRE].
S. D. McDermott and S. J. Witte, Cosmological evolution of light dark photon dark matter, Phys. Rev. D 101 (2020) 063030 [arXiv:1911.05086] [INSPIRE].
J. Wang, R. Li, S.-C. Zhang and X.-L. Qi, Topological magnetic insulators with corundum structure, Physical Review Letters 106 (2011) 126403.
K. Ishiwata, Axion mass in antiferromagnetic insulators, Phys. Rev. D 104 (2021) 016004 [arXiv:2103.02848] [INSPIRE].
A. Sekine and K. Nomura, Chiral Magnetic Effect and Anomalous Hall Effect in Antiferromagnetic Insulators with Spin-Orbit Coupling, Phys. Rev. Lett. 116 (2016) 096401 [arXiv:1508.04590] [INSPIRE].
J. C. Slater and G. F. Koster, Simplified lcao method for the periodic potential problem, Phys. Rev. 94 (1954) 1498.
S. Konschuh, M. Gmitra and J. Fabian, Tight-binding theory of the spin-orbit coupling in graphene, Phys. Rev. B 82 (2010) 245412.
X.-L. Qi, T. Hughes and S.-C. Zhang, Topological Field Theory of Time-Reversal Invariant Insulators, Phys. Rev. B 78 (2008) 195424 [arXiv:0802.3537] [INSPIRE].
A. M. Essin, J. E. Moore and D. Vanderbilt, Magnetoelectric polarizability and axion electrodynamics in crystal line insulators, Phys. Rev. Lett. 102 (2009) 146805 [arXiv:0810.2998] [INSPIRE].
D. J. Thouless, M. Kohmoto, M. P. Nightingale and M. den Nijs, Quantized Hall Conductance in a Two-Dimensional Periodic Potential, Phys. Rev. Lett. 49 (1982) 405 [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2102.06179
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Chigusa, S., Moroi, T. & Nakayama, K. Axion/hidden-photon dark matter conversion into condensed matter axion. J. High Energ. Phys. 2021, 74 (2021). https://doi.org/10.1007/JHEP08(2021)074
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2021)074