Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-13T00:41:47.823Z Has data issue: false hasContentIssue false
  • English
  • Français

Thermal transport for probing quantum materials

Published online by Cambridge University Press:  07 May 2020

Mingda Li  and
Gang Chen
Mingda Li
Affiliation:
Department of Nuclear Science and Engineering, Massachussetts Institute of Technology, USA; mingda@mit.edu
Gang Chen
Affiliation:
Department of Mechanical Engineering, Massachussetts Institute of Technology, USA; gchen2@mit.edu
Get access

Abstract

In probing quantum materials, thermal transport is less appreciated than electrical transport. This article aims to show the pivotal role that thermal transport may play in understanding quantum materials—longitudinal thermal transport reflects itinerant quasiparticles, even in an electrical insulating phase, while transverse thermal transport such as the thermal Hall and Nernst effects is tightly linked to nontrivial topology. We discuss three examples—quantum spin liquids wherein thermal transport identifies its existence, superconductors wherein thermal transport reveals the superconducting gap structure, and topological Weyl semimetals where the anomalous Nernst effect is a consequence of nontrivial Berry curvature. We conclude with an outlook on the unique insights thermal transport may offer to probe a much broader category of quantum phenomena.

Type
Emergent Quantum Materials
Information
MRS Bulletin , Volume 45 , Issue 5: Emergent Quantum Materials , May 2020 , pp. 348 - 356
Copyright
Copyright © Materials Research Society 2020

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

“The Rise of Quantum Materials” [Editorial] Nat. Phys. 12, 105 (2016).CrossRefGoogle Scholar
Anderson, P.W., The Theory of Superconductivity in the High-Tc Cuprates , Princeton Series in Physics (Princeton University Press, Princeton, NJ, 1997), vii, p. 446.Google Scholar
Schrieffer, J.R., Theory of Superconductivity, Advanced Book Classics (Advanced Book Program, Perseus Books, Reading, MA, 1999), xviii, p. 332.Google Scholar
Orenstein, J., Millis, A.J., Science 288, 468 (2000).10.1126/science.288.5465.468CrossRefGoogle Scholar
Damascelli, A., Hussain, Z., Rev. Mod. Phys. 75, 473 (2003).CrossRefGoogle Scholar
Lee, P.A., Nagaosa, N., Wen, X.-G., Rev. Mod. Phys. 78, 17 (2006).10.1103/RevModPhys.78.17CrossRefGoogle Scholar
Klitzing, K.v., Dorda, G., Pepper, M., Phys. Rev. Lett. 45, 494 (1980).CrossRefGoogle Scholar
Yennie, D.R., Rev. Mod. Phys. 59, 781 (1987).CrossRefGoogle Scholar
Bernevig, B.A., Hughes, T.L., Zhang, S.C., Science 314, 1757 (2006).CrossRefGoogle Scholar
Bernevig, B.A., Zhang, S.C., Phys. Rev. Lett. 96, 106802 (2006).CrossRefGoogle Scholar
Konig, M., Wiedmann, S., Brune, C., Roth, A., Buhmann, H., Molenkamp, L.W., Qi, X.L., Zhang, S.C., Science 318, 766 (2007).CrossRefGoogle Scholar
Yu, R., Zhang, W., Zhang, H.J., Zhang, S.C., Dai, X., Fang, Z., Science 329, 61 (2010).10.1126/science.1187485CrossRefGoogle Scholar
Chang, C.Z., Zhang, J., Feng, X., Shen, J., Zhang, Z., Guo, M., Li, K., Ou, Y., Wei, P., Wang, L.L., Ji, Z.Q., Feng, Y., Ji, S., Chen, X., Jia, J., Dai, X., Fang, Z., Zhang, S.C., He, K., Wang, Y., Lu, L., Ma, X.C., Xue, Q.K., Science 340, 167 (2013).CrossRefGoogle Scholar
Ezawa, Z.F., Quantum Hall Effects: Recent Theoretical and Experimental Developments, 3rd ed. (World Scientific, Hackensack, NJ, 2013).CrossRefGoogle Scholar
Chang, C.Z., Li, M., J. Phys. Condens. Matter 28, 123002 (2016).10.1088/0953-8984/28/12/123002CrossRefGoogle Scholar
Hasan, M.Z., Kane, C.L., Rev. Mod. Phys. 82, 3045 (2010).CrossRefGoogle Scholar
Qi, X.-L., Zhang, S.-C., Rev. Mod. Phys. 83, 1057 (2011).CrossRefGoogle Scholar
Wang, J., Zhang, S.C., Nat. Mater. 16, 1062 (2017).10.1038/nmat5012CrossRefGoogle Scholar
Burkov, A.A., Nat. Mater. 15, 1145 (2016).CrossRefGoogle Scholar
Yan, B., Felser, C., Annu. Rev. Condens. Matter Phys. 8, 337 (2017).CrossRefGoogle Scholar
Armitage, N.P., Mele, E.J., Vishwanath, A., Rev. Mod. Phys. 90, 015001 (2018).10.1103/RevModPhys.90.015001CrossRefGoogle Scholar
Manna, K., Sun, Y., Muechler, L., Kübler, J., Felser, C., Nat. Rev. Mater. 3, 244 (2018).10.1038/s41578-018-0036-5CrossRefGoogle Scholar
Neupane, M., Xu, S.Y., Sankar, R., Alidoust, N., Bian, G., Liu, C., Belopolski, I., Chang, T.R., Jeng, H.T., Lin, H., Bansil, A., Chou, F., Hasan, M.Z., Nat. Commun. 5, 3786 (2014).10.1038/ncomms4786CrossRefGoogle Scholar
Huang, S.M., Xu, S.Y., Belopolski, I., Lee, C.C., Chang, G., Wang, B., Alidoust, N., Bian, G., Neupane, M., Zhang, C., Jia, S., Bansil, A., Lin, H., Hasan, M.Z., Nat. Commun. 6, 7373 (2015).10.1038/ncomms8373CrossRefGoogle Scholar
Xu, S.-Y., Belopolski, I., Alidoust, N., Neupane, M., Bian, G., Zhang, C., Sankar, R., Chang, G., Yuan, Z., Lee, C.-C., Huang, S.-M., Zheng, H., Ma, J., Sanchez, D.S., Wang, B., Bansil, A., Chou, F., Shibayev, P.P., Lin, H., Jia, S., Hasan, M.Z., Science 349, 613 (2015).CrossRefGoogle Scholar
Xu, S.-Y., Liu, C., Kushwaha, S.K., Sankar, R., Krizan, J.W., Belopolski, I., Neupane, M., Bian, G., Alidoust, N., Chang, T.-R., Jeng, H.-T., Huang, C.-Y., Tsai, W.-F., Lin, H., Shibayev, P.P., Chou, F.-C., Cava, R.J., Hasan, M.Z., Science 347, 294 (2015).CrossRefGoogle ScholarPubMed
Ideue, T., Kurumaji, T., Ishiwata, S., Tokura, Y., Nat. Mater. 16, 797 (2017).CrossRefGoogle Scholar
Khomskii, D., Physics 2, 20 (2009).CrossRefGoogle Scholar
Diep, H.T., Frustrated Spin Systems, 2nd ed. (World Scientific, Hackensack, NJ, 2013), pp. xxv.10.1142/8676CrossRefGoogle Scholar
Balents, L., Nature 464, 199 (2010).CrossRefGoogle Scholar
Lee, S.H., Broholm, C., Ratcliff, W., Gasparovic, G., Huang, Q., Kim, T.H., Cheong, S.W., Nature 418, 856 (2002).10.1038/nature00964CrossRefGoogle Scholar
Bramwell, S.T., Gingras, M.J.P., Science 294, 1495 (2001).10.1126/science.1064761CrossRefGoogle Scholar
Read, N., Sachdev, S., Phys. Rev. Lett. 66, 1773 (1991).CrossRefGoogle Scholar
Bonaccorso, F., Sun, Z., Hasan, T., Ferrari, A.C., Nat. Photonics 4, 611 (2010).10.1038/nphoton.2010.186CrossRefGoogle Scholar
Beenakker, C.W.J., Rev. Mod. Phys. 80, 1337 (2008).CrossRefGoogle Scholar
Geim, A.K., Novoselov, K.S., Nat. Mater. 6, 183 (2007).CrossRefGoogle Scholar
Novoselov, K.S., Geim, A.K., Morozov, S.V., Jiang, D., Katsnelson, M.I., Grigorieva, I.V., Dubonos, S.V., Firsov, A.A., Nature 438, 197 (2005).CrossRefGoogle Scholar
Kane, C.L., Mele, E.J., Phys. Rev. Lett. 95, 226801 (2005).CrossRefGoogle Scholar
Wang, Q.H., Kalantar-Zadeh, K., Kis, A., Coleman, J.N., Strano, M.S., Nat. Nanotechnol. 7, 699 (2012).CrossRefGoogle Scholar
Mak, K.F., Shan, J., Nat. Photonics 10, 216 (2016).CrossRefGoogle Scholar
Kittel, C., Introduction to Solid State Physics, 8th ed. (Wiley, Hoboken, NJ, 2005).Google Scholar
Lee, S., Hippalgaonkar, K., Yang, F., Hong, J., Ko, C., Suh, J., Liu, K., Wang, K., Urban, J.J., Zhang, X., Dames, C., Hartnoll, S.A., Delaire, O., Wu, J., Science 355, 371 (2017).10.1126/science.aag0410CrossRefGoogle Scholar
Goldsmid, H.J., Introduction to Thermoelectricity, Springer Series in Materials Science (Springer, Heidelberg, Germany, 2010), pp. xvi.CrossRefGoogle Scholar
Kasahara, Y., Ohnishi, T., Mizukami, Y., Tanaka, O., Ma, S., Sugii, K., Kurita, N., Tanaka, H., Nasu, J., Motome, Y., Shibauchi, T., Matsuda, Y., Nature 559, 227 (2018).CrossRefGoogle Scholar
Nasu, J., Udagawa, M., Motome, Y., Phys. Rev. B 92, 115122 (2015).CrossRefGoogle Scholar
Wang, Z., Qi, X.-L., Zhang, S.-C., Phys. Rev. B 84, 014527 (2011).CrossRefGoogle Scholar
Banerjee, M., Heiblum, M., Rosenblatt, A., Oreg, Y., Feldman, D.E., Stern, A., Umansky, V., Nature 545, 75 (2017).10.1038/nature22052CrossRefGoogle Scholar
Banerjee, M., Heiblum, M., Umansky, V., Feldman, D.E., Oreg, Y., Stern, A., Nature 559, 205 (2018).CrossRefGoogle Scholar
Behnia, K., Aubin, H., Rep. Prog. Phys. 79, 046502 (2016).10.1088/0034-4885/79/4/046502CrossRefGoogle Scholar
Ikhlas, M., Tomita, T., Koretsune, T., Suzuki, M.-T., Nishio-Hamane, D., Arita, R., Otani, Y., Nakatsuji, S., Nat. Phys. 13, 1085 (2017).CrossRefGoogle Scholar
Caglieris, F., Wuttke, C., Sykora, S., Süss, V., Shekhar, C., Felser, C., Büchner, B., Hess, C., Phys. Rev. B 98, 201107(R) (2018).CrossRefGoogle Scholar
Watzman, S.J., McCormick, T.M., Shekhar, C., Wu, S.-C., Sun, Y., Prakash, A., Felser, C., Trivedi, N., Heremans, J.P., Phys. Rev. B 97, 161404(R) (2018).CrossRefGoogle Scholar
Savary, L., Balents, L., Rep. Prog. Phys. 80, 016502 (2016).10.1088/0034-4885/80/1/016502CrossRefGoogle Scholar
Zhou, Y., Kanoda, K., Ng, T.-K., Rev. Mod. Phys. 89, 025003 (2017).CrossRefGoogle Scholar
Shimizu, Y., Miyagawa, K., Kanoda, K., Maesato, M., Saito, G., Phys. Rev. Lett. 91, 107001 (2003).CrossRefGoogle Scholar
Yamashita, M., Nakata, N., Senshu, Y., Nagata, M., Yamamoto, H.M., Kato, R., Shibauchi, T., Matsuda, Y., Science 328, 1246 (2010).CrossRefGoogle Scholar
Shen, Y., Li, Y.D., Wo, H., Li, Y., Shen, S., Pan, B., Wang, Q., Walker, H.C., Steffens, P., Boehm, M., Hao, Y., Quintero-Castro, D.L., Harriger, L.W., Frontzek, M.D., Hao, L., Meng, S., Zhang, Q., Chen, G., Zhao, J., Nature 540, 559 (2016).CrossRefGoogle Scholar
Xu, Y., Zhang, J., Li, Y.S., Yu, Y.J., Hong, X.C., Zhang, Q.M., Li, S.Y., Phys. Rev. Lett. 117, 267202 (2016).10.1103/PhysRevLett.117.267202CrossRefGoogle Scholar
Han, T.H., Helton, J.S., Chu, S., Nocera, D.G., Rodriguez-Rivera, J.A., Broholm, C., Lee, Y.S., Nature 492, 406 (2012).CrossRefGoogle Scholar
Helton, J.S., Matan, K., Shores, M.P., Nytko, E.A., Bartlett, B.M., Yoshida, Y., Takano, Y., Suslov, A., Qiu, Y., Chung, J.H., Nocera, D.G., Lee, Y.S., Phys. Rev. Lett. 98, 107204 (2007).10.1103/PhysRevLett.98.107204CrossRefGoogle Scholar
Gardner, J.S., Gingras, M.J.P., Greedan, J.E., Rev. Mod. Phys. 82, 53 (2010).CrossRefGoogle Scholar
Okamoto, Y., Nohara, M., Aruga-Katori, H., Takagi, H., Phys. Rev. Lett. 99, 137207 (2007).CrossRefGoogle Scholar
Kitaev, A., Ann. Phys. 321, 2 (2006).10.1016/j.aop.2005.10.005CrossRefGoogle Scholar
Singh, Y., Gegenwart, P., Phys. Rev. B 82, 064412 (2010).10.1103/PhysRevB.82.064412CrossRefGoogle Scholar
Banerjee, A., Lampen-Kelley, P., Knolle, J., Balz, C., Aczel, A.A., Winn, B., Liu, Y., Pajerowski, D., Yan, J., Bridges, C.A., Savici, A.T., Chakoumakos, B.C., Lumsden, M.D., Tennant, D.A., Moessner, R., Mandrus, D.G., Nagler, S.E., NPJ Quantum Mater . 3, 8 (2018).CrossRefGoogle Scholar
Banerjee, A., Yan, J.Q., Knolle, J., Bridges, C.A., Stone, M.B., Lumsden, M.D., Mandrus, D.G., Tennant, D.A., Moessner, R., Nagler, S.E., Science 356, 1055 (2017).10.1126/science.aah6015CrossRefGoogle Scholar
Do, S.-H., Park, S.-Y., Yoshitake, J., Nasu, J., Motome, Y., Kwon Yong, S., Adroja, D.T., Voneshen, D.J., Kim, K., Jang, T.H., Park, J.H., Choi, K.-Y., Ji, S., Nat. Phys. 13, 1079 (2017).10.1038/nphys4264CrossRefGoogle Scholar
Biffin, A., Johnson, R.D., Kimchi, I., Morris, R., Bombardi, A., Analytis, J.G., Vishwanath, A., Coldea, R., Phys. Rev. Lett. 113, 197201 (2014).CrossRefGoogle Scholar
Ma, Z., Ran, K., Wang, J., Bao, S., Cai, Z., Li, S., Wen, J., Chin. Phys. B 27, 106101 (2018).CrossRefGoogle Scholar
Wen, J., Yu, S.-L., Li, S., Yu, W., Li, J.-X., NPJ Quantum Mater . 4, 12 (2019).CrossRefGoogle Scholar
Winter, S.M., Tsirlin, A.A., Daghofer, M., van den Brink, J., Singh, Y., Gegenwart, P., Valenti, R., J. Phys. Condens. Matter 29, 493002 (2017).CrossRefGoogle Scholar
Hentrich, R., Wolter, A.U.B., Zotos, X., Brenig, W., Nowak, D., Isaeva, A., Doert, T., Banerjee, A., Lampen-Kelley, P., Mandrus, D.G., Nagler, S.E., Sears, J., Kim, Y.J., Buchner, B., Hess, C., Phys. Rev. Lett. 120, 117204 (2018).CrossRefGoogle Scholar
Yu, Y.J., Xu, Y., Ran, K.J., Ni, J.M., Huang, Y.Y., Wang, J.H., Wen, J.S., Li, S.Y., Phys. Rev. Lett. 120, 067202 (2018).CrossRefGoogle Scholar
Cookmeyer, J., Moore, J.E., Phys. Rev. B 98, 060412(R) (2018).10.1103/PhysRevB.98.060412CrossRefGoogle Scholar
Doki, H., Akazawa, M., Lee, H.Y., Han, J.H., Sugii, K., Shimozawa, M., Kawashima, N., Oda, M., Yoshida, H., Yamashita, M., Phys. Rev. Lett. 121, 097203 (2018).CrossRefGoogle Scholar
Kasahara, Y., Sugii, K., Ohnishi, T., Shimozawa, M., Yamashita, M., Kurita, N., Tanaka, H., Nasu, J., Motome, Y., Shibauchi, T., Matsuda, Y., Phys. Rev. Lett. 120, 217205 (2018).CrossRefGoogle Scholar
Ye, M., Halasz, G.B., Savary, L., Balents, L., Phys. Rev. Lett. 121, 147201 (2018).CrossRefGoogle Scholar
Isono, T., Sugiura, S., Terashima, T., Miyagawa, K., Kanoda, K., Uji, S., Nat. Commun. 9, 1509 (2018).CrossRefGoogle Scholar
Ni, J.M., Liu, Q.Y., Yu, Y.J., Cheng, E.J., Huang, Y.Y., Liu, Z.Y., Wang, X.J., Sui, Y., Li, S.Y., Phys. Rev. B 97, 104413 (2018).CrossRefGoogle Scholar
Clark, L., Sala, G., Maharaj, D.D., Stone, M.B., Knight, K.S., Telling, M.T.F., Wang, X., Xu, X., Kim, J., Li, Y., Cheong, S.-W., Gaulin, B.D., Nat. Phys. 15, 262 (2019).CrossRefGoogle Scholar
Samajdar, R., Chatterjee, S., Sachdev, S., Scheurer, M.S., Phys. Rev. B 99, 165126 (2019).CrossRefGoogle Scholar
Gao, Y.H., Hickey, C., Xiang, T., Trebst, S., Chen, G., Phys. Rev. Res. 1, 013014 (2019).CrossRefGoogle Scholar
Pidatella, A., Metavitsiadis, A., Brenig, W., Phys. Rev. B 99, 075141 (2019).CrossRefGoogle Scholar
Metavitsiadis, A., Psaroudaki, C., Brenig, W., Phys. Rev. B 99, 205129 (2019).CrossRefGoogle Scholar
Ma, Z., Wang, J., Dong, Z.Y., Zhang, J., Li, S., Zheng, S.H., Yu, Y., Wang, W., Che, L., Ran, K., Bao, S., Cai, Z., Cermak, P., Schneidewind, A., Yano, S., Gardner, J.S., Lu, X., Yu, S.L., Liu, J.M., Li, S., Li, J.X., Wen, J., Phys. Rev. Lett. 120, 087201 (2018).CrossRefGoogle Scholar
Ni, J.M., Pan, B.L., Song, B.Q., Huang, Y.Y., Zeng, J.Y., Yu, Y.J., Cheng, E.J., Wang, L.S., Dai, D.Z., Kato, R., Li, S.Y., Phys. Rev. Lett. 123, 247204 (2019).CrossRefGoogle Scholar
Bourgeois-Hope, P., Laliberté, F., Lefrançois, E., Grissonnanche, G., de Cotret, S.R., Gordon, R., Kitou, S., Sawa, H., Cui, H., Kato, R., Taillefer, L., Doiron-Leyraud, N., Phys. Rev. X 9, 041051 (2019).Google Scholar
Yamashita, M., Nakata, N., Kasahara, Y., Sasaki, T., Yoneyama, N., Kobayashi, N., Fujimoto, S., Shibauchi, T., Matsuda, Y., Nat. Phys. 5, 44 (2008).CrossRefGoogle Scholar
Hirschberger, M., Chisnell, R., Lee, Y.S., Ong, N.P., Phys. Rev. Lett. 115, 106603 (2015).CrossRefGoogle Scholar
Katsura, H., Nagaosa, N., Lee, P.A., Phys. Rev. Lett. 104, 066403 (2010).CrossRefGoogle Scholar
Matsuda, Y., Izawa, K., Vekhter, I., J. Phys. Condens. Matter 18, R705 (2006).10.1088/0953-8984/18/44/R01CrossRefGoogle Scholar
Uher, C., Liu, Y.Q., Whitaker, J.F., J. Supercond. 7, 323 (1994).CrossRefGoogle Scholar
Proust, C., Boaknin, E., Hill, R.W., Taillefer, L., Mackenzie, A.P., Phys. Rev. Lett. 89, 147003 (2002).CrossRefGoogle Scholar
Hagen, S.J., Wang, Z.Z., Ong, N.P., Phys. Rev. B Condens. Matter 40, 9389 (1989).CrossRefGoogle Scholar
Matsukawa, M., Mizukoshi, T., Noto, K., Shiohara, Y., Phys. Rev. B 53, R6034 (1996).CrossRefGoogle Scholar
White, G.K., Collocott, S.J., Driver, R., Roberts, R.B., Stewart, A.M., J. Phys C Solid State Phys. 21, L631 (1988).CrossRefGoogle Scholar
Varshney, D., Choudhary, K.K., Singh, R.K., New J. Phys. 5, 72 (2003).10.1088/1367-2630/5/1/372CrossRefGoogle Scholar
Salamon, M.B., Yu, F., Kopylov, V.N., J. Supercond. 8, 449 (1995).10.1007/BF00722827CrossRefGoogle Scholar
Flik, M.I., Tien, C.L., J. Heat Transfer 112, 872 (1990).CrossRefGoogle Scholar
Tewordt, L., Wölkhausen, T., Solid State Commun . 75, 515 (1990).CrossRefGoogle Scholar
Graf, M.J., Yip, S.K., Sauls, J.A., Rainer, D., Phys. Rev. B 53, 15147 (1996).CrossRefGoogle Scholar
Hirschfeld, P.J., Putikka, W.O., Phys. Rev. Lett. 77, 3909 (1996).CrossRefGoogle Scholar
Alexandrov, A.S., Mott, N.F., Phys. Rev. Lett. 71, 1075 (1993).CrossRefGoogle Scholar
Wermbter, S., Tewordt, L., Phys. Rev. B 44, 9524 (1991).CrossRefGoogle Scholar
Goodson, K.E., Flik, M.I., J. Heat Transfer 115, 17 (1993).CrossRefGoogle Scholar
Muranaka, T., Akimitsu, J., Sera, M., Phys. Rev. B 64, 020505(R) (2001).10.1103/PhysRevB.64.020505CrossRefGoogle Scholar
Sologubenko, A.V., Jun, J., Kazakov, S.M., Karpinski, J., Ott, H.R., Phys. Rev. B 66, 014504 (2002).10.1103/PhysRevB.66.014504CrossRefGoogle Scholar
Putti, M., Braccini, V., Galleani d’Agliano, E., Napoli, F., Pallecchi, I., Siri, A.S., Manfrinetti, P., Palenzona, A., Phys. Rev. B 67, 064505 (2003).CrossRefGoogle Scholar
Movshovich, R., Jaime, M., Thompson, J.D., Petrovic, C., Fisk, Z., Pagliuso, P.G., Sarrao, J.L., Phys. Rev. Lett. 86, 5152 (2001).CrossRefGoogle Scholar
Izawa, K., Nakajima, Y., Goryo, J., Matsuda, Y., Osaki, S., Sugawara, H., Sato, H., Thalmeier, P., Maki, K., Phys. Rev. Lett. 90, 064505 (2003).CrossRefGoogle Scholar
Seyfarth, G., Brison, J.P., Measson, M.A., Braithwaite, D., Lapertot, G., Flouquet, J., Phys. Rev. Lett. 97, 236403 (2006).CrossRefGoogle Scholar
Reid, J.P., Tanatar, M.A., Juneau-Fecteau, A., Gordon, R.T., de Cotret, S.R., Doiron-Leyraud, N., Saito, T., Fukazawa, H., Kohori, Y., Kihou, K., Lee, C.H., Iyo, A., Eisaki, H., Prozorov, R., Taillefer, L., Phys. Rev. Lett. 109, 087001 (2012).CrossRefGoogle Scholar
Reid, J.P., Tanatar, M.A., Luo, X.G., Shakeripour, H., Doiron-Leyraud, N., Ni, N., Bud’ko, S.L., Canfield, P.C., Prozorov, R., Taillefer, L., Phys. Rev. B 82, 064501 (2010).CrossRefGoogle Scholar
Tanatar, M.A., Reid, J.P., René de Cotret, S., Doiron-Leyraud, N., Laliberté, F., Hassinger, E., Chang, J., Kim, H., Cho, K., Song, Y.J., Kwon, Y.S., Prozorov, R., Taillefer, L., Phys. Rev. B 84, 054507 (2011).CrossRefGoogle Scholar
Zhang, Z., Wang, A.F., Hong, X.C., Zhang, J., Pan, B.Y., Pan, J., Xu, Y., Luo, X.G., Chen, X.H., Li, S.Y., Phys. Rev. B 91, 024502 (2015).CrossRefGoogle Scholar
Machida, Y., Tomokuni, K., Isono, T., Izawa, K., Nakajima, Y., Tamegai, T., J. Phys. Soc. Jpn. 78, 073705 (2009).CrossRefGoogle Scholar
Chen, G., Nanoscale Energy Transport and Conversion: A Parallel Treatment of Electrons, Molecules, Phonons, and Photons, MIT-Pappalardo Series in Mechanical Engineering (Oxford University Press, Oxford, UK, 2005), pp. xxiii, 531 p.Google Scholar
Ausloos, M., Houssa, M., Supercond. Sci. Technol. 12, R103 (1999).CrossRefGoogle Scholar
Shakeripour, H., Petrovic, C., Taillefer, L., New J. Phys. 11, 055065 (2009).CrossRefGoogle Scholar
Santoso, I., k-space Microscopy of Bi2Sr2CaCu2O8+δ: Fermiology and Many-Body Effects, PhD thesis, Van der Waals-Zeeman Institute, Amsterdam, The Netherlands (2008).Google Scholar
Lee, P.A., Phys. Rev. Lett. 71, 1887 (1993).CrossRefGoogle Scholar
Lifshitz, I.M., JETP Lett. 11, 1130 (1960).Google Scholar
Zhu, Z., Yang, H., Fauqué, B., Kopelevich, Y., Behnia, K., Nat. Phys. 6, 26 (2009).CrossRefGoogle Scholar
Xiao, D., Yao, Y., Fang, Z., Niu, Q., Phys. Rev. Lett. 97, 026603 (2006).CrossRefGoogle Scholar
Lundgren, R., Laurell, P., Fiete, G.A., Phys. Rev. B 90, 165115 (2014).CrossRefGoogle Scholar
Sharma, G., Goswami, P., Tewari, S., Phys. Rev. B 93, 035116 (2016).10.1103/PhysRevB.93.035116CrossRefGoogle Scholar
Chernodub, M.N., Cortijo, A., Vozmediano, M.A.H., Phys. Rev. Lett. 120, 206601 (2018).CrossRefGoogle Scholar
Noky, J., Gayles, J., Felser, C., Sun, Y., Phys. Rev. B 97, 220405(R) (2018).CrossRefGoogle Scholar
Saha, S., Tewari, S., Eur. Phys. J. B 91, 4 (2018).CrossRefGoogle Scholar
Das, K., Agarwal, A., Phys. Rev. B 100, 085406 (2019).CrossRefGoogle Scholar
Kozii, V., Skinner, B., Fu, L., “Thermoelectric Hall Conductivity and Figure of Merit in Dirac/Weyl Materials,” arXiv:1902.10123 (2019).CrossRefGoogle Scholar
McKay, R.C., McCormick, T.M., Trivedi, N., Phys. Rev. B 99, 245119 (2019).CrossRefGoogle Scholar
Liang, T., Lin, J., Gibson, Q., Gao, T., Hirschberger, M., Liu, M., Cava, R.J., Ong, N.P., Phys. Rev. Lett. 118, 136601 (2017).CrossRefGoogle Scholar
Sharma, G., Moore, C., Saha, S., Tewari, S., Phys. Rev. B 96, 195119 (2017).CrossRefGoogle Scholar
Fu, C., Guin, S.N., Watzman, S.J., Li, G., Liu, E., Kumar, N., Süβ, V., Schnelle, W., Auffermann, G., Shekhar, C., Sun, Y., Gooth, J., Felser, C., Energy Environ. Sci. 11, 2813 (2018).CrossRefGoogle Scholar
Rana, K.G., Dejene, F.K., Kumar, N., Rajamathi, C.R., Sklarek, K., Felser, C., Parkin, S.S.P., Nano Lett . 18, 6591 (2018).CrossRefGoogle Scholar
Reichlova, H., Schlitz, R., Beckert, S., Swekis, P., Markou, A., Chen, Y.-C., Kriegner, D., Fabretti, S., Hyeon Park, G., Niemann, A., Sudheendra, S., Thomas, A., Nielsch, K., Felser, C., Goennenwein, S.T.B., Appl. Phys. Lett. 113, 212405 (2018).CrossRefGoogle Scholar
Guin, S.N., Vir, P., Zhang, Y., Kumar, N., Watzman, S.J., Fu, C., Liu, E., Manna, K., Schnelle, W., Gooth, J., Shekhar, C., Sun, Y., Felser, C., Adv Mater . 31, e1806622 (2019).CrossRefGoogle Scholar
Wuttke, C., Caglieris, F., Sykora, S., Scaravaggi, F., Wolter, A.U.B., Manna, K., Süss, V., Shekhar, C., Felser, C., Büchner, B., Hess, C., Phys. Rev. B 100, 085111 (2019).CrossRefGoogle Scholar
Schwab, K., Henriksen, E.A., Worlock, J.M., Roukes, M.L., Nature 404, 974 (2000).CrossRefGoogle Scholar
Angelescu, D.E., Cross, M.C., Roukes, M.L., Superlattices Microstruct . 23, 673 (1998).CrossRefGoogle Scholar
Rego, L.G.C., Kirczenow, G., Phys. Rev. Lett. 81, 232 (1998).CrossRefGoogle Scholar
Tanatar, M.A., Paglione, J., Petrovic, C., Taillefer, L., Science 316, 1320 (2007).CrossRefGoogle Scholar
Pfau, H., Hartmann, S., Stockert, U., Sun, P., Lausberg, S., Brando, M., Friedemann, S., Krellner, C., Geibel, C., Wirth, S., Kirchner, S., Abrahams, E., Si, Q., Steglich, F., Nature 484, 493 (2012).CrossRefGoogle Scholar
Crossno, J., Shi, J.K., Wang, K., Liu, X.M., Harzheim, A., Lucas, A., Sachdev, S., Kim, P., Taniguchi, T., Watanabe, K., Ohki, T.A., Fong, K.C., Science 351, 1058 (2016).CrossRefGoogle Scholar