Chuang Chen1, Xiao Yan Xu2,3, Yang Qi4,5,6, Zi Yang Meng7,1,8**
1Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190 2Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong 3Department of Physics, University of California at San Diego, La Jolla, California 92093, USA 4Center for Field Theory and Particle Physics, Department of Physics, Fudan University, Shanghai 200433 5State Key Laboratory of Surface Physics, Fudan University, Shanghai 200433 6Collaborative Innovation Center of Advanced Microstructures, Nanjing 210093 7Department of Physics and HKU-UCAS Joint Institute of Theoretical and Computational Physics, The University of Hong Kong, Pokfulam Road, Hong Kong 8Songshan Lake Materials Laboratory, Dongguan 523808
Abstract:Orthogonal metal is a new quantum metallic state that conducts electricity but acquires no Fermi surface (FS) or quasiparticles, and hence orthogonal to the established paradigm of Landau's Fermi-liquid (FL). Such a state may hold the key of understanding the perplexing experimental observations of quantum metals that are beyond FL, i.e., dubbed non-Fermi-liquid (nFL), ranging from the Cu- and Fe-based oxides, heavy fermion compounds to the recently discovered twisted graphene heterostructures. However, to fully understand such an exotic state of matter, at least theoretically, one would like to construct a lattice model and to solve it with unbiased quantum many-body machinery. Here we achieve this goal by designing a 2D lattice model comprised of fermionic and bosonic matter fields coupled with dynamic $\mathbb{Z}_2$ gauge fields, and obtain its exact properties with sign-free quantum Monte Carlo simulations. We find that as the bosonic matter fields become disordered, with the help of deconfinement of the $\mathbb{Z}_2$ gauge fields, the system reacts with changing its nature from the conventional normal metal with an FS to an orthogonal metal of nFL without FS and quasiparticles and yet still responds to magnetic probe like an FL. Such a quantum phase transition from a normal metal to an orthogonal metal, with its electronic and magnetic spectral properties revealed, is calling for the establishment of new paradigm of quantum metals and their transition with conventional ones.
. [J]. 中国物理快报, 2020, 37(4): 47103-047103.
Chuang Chen, Xiao Yan Xu, Yang Qi, Zi Yang Meng. Metal to Orthogonal Metal Transition. Chin. Phys. Lett., 2020, 37(4): 47103-047103.
Keimer B, Kivelson S A, Norman M R, Uchida S and Zaanen J 2015 Nature518 179
[6]
Gu Y, Liu Z, Xie T, Zhang W, Gong D, Hu D, Ma X, Li C, Zhao L, Lin L, Xu Z, Tan G, Chen G, Meng Z Y, Yang Y f, Luo H and Li S 2017 Phys. Rev. Lett.119 157001
[7]
Wu W, Cheng J, Matsubayashi K, Kong P, Lin F, Jin C, Wang N, Uwatoko Y and Luo J 2014 Nat. Commun.5 5508
Matsuda M, Lin F K, Yu R, Cheng J G, Wu W, Sun J P, Zhang J H, Sun P J, Matsubayashi K, Miyake T, Kato T, Yan J Q, Stone M B, Si Q, Luo J L and Uwatoko Y 2018 Phys. Rev. X8 031017
Steppke A, Küchler R, Lausberg S, Lengyel E, Steinke L, Borth R, Lühmann T, Krellner C, Nicklas M, Geibel C, Steglich F and Brando M 2013 Science339 933
[14]
Cao Y, Fatemi V, Demir A, Fang S, Tomarken S L, Luo J Y, Sanchez-Yamagishi J D, Watanabe K, Taniguchi T, Kaxiras E, Ashoori R C and Jarillo-Herrero P 2018 Nature556 80
[15]
Cao Y, Fatemi V, Fang S, Watanabe K, Taniguchi T, Kaxiras E and Jarillo-Herrero P 2018 Nature556 43
[16]
Cao Y, Chowdhury D, Rodan-Legrain D, Rubies-Bigordà O, Watanabe K, Taniguchi T, Senthil T and Jarillo-Herrero P 2019 arXiv:1901.03710
[17]
Shen C, Li N, Wang S, Zhao Y, Tang J, Liu J, Tian J, Chu Y, Watanabe K, Taniguchi T, Yang R, Meng Z Y, Shi D and Zhang G 2019 arXiv:1903.06952