Second-Order Josephson Effect in Excitonic Insulators

Sun, Zhiyuan; Kaneko, Tatsuya; Golež, Denis; Millis, Andrew J.

doi:10.1103/physrevlett.127.127702

Title: Second-Order Josephson Effect in Excitonic Insulators

Journal Article · 17 September 2021 · Physical Review Letters

DOI: https://doi.org/10.1103/physrevlett.127.127702 · OSTI ID:1853268

^[1]; Kaneko, Tatsuya ^[2];

^[3]; Millis, Andrew J. ^[4]

Columbia Univ., New York, NY (United States); OSTI
Columbia Univ., New York, NY (United States)
Flatiron Inst., New York, NY (United States); Univ. of Ljubljana (Slovenia); Jožef Stefan Inst., Ljubljana (Slovenia)
Columbia Univ., New York, NY (United States); Flatiron Inst., New York, NY (United States)

We show that in electron-hole bilayers with excitonic orders arising from conduction and valence bands formed by atomic orbitals that have different parities, nonzero interlayer tunneling leads to a second-order Josephson effect. This means the interlayer electrical current is related to the phase of the excitonic order parameter as J = J_c sin 2θ instead of J = J_c sin θ and that the system has two degenerate ground states at θ = 0, π that can be switched by an interlayer voltage pulse. When generalized to a three dimensional stack of alternating electron-hole planes or a two dimensional stack of chains, the ac Josephson effect implies that electric field pulses perpendicular to the layers and chains can steer the order parameter phase between the two degenerate ground states, making these devices ultrafast memories. Here, the order parameter steering also applies to the excitonic insulator candidate Ta₂NiSe₅.

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Research Organization:: Columbia Univ., New York, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0019443

OSTI ID:: 1853268

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 12 Vol. 127; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (70)

Magnetism and Josephson effect in a coupled quantum well electron-hole system Lozovik, Yurii E.; Poushnov, Andrei V. Physics Letters A, Vol. 228, Issue 6 https://doi.org/10.1016/S0375-9601(97)00133-3	journal	April 1997
A Modern Approach to Critical Phenomena Herbut, Igor https://doi.org/10.1017/CBO9780511755521	book	January 2007
Condensed Matter Field Theory Altland, Alexander; Simons, Ben D. https://doi.org/10.1017/CBO9780511789984	book	August 2010
Hamiltonian Optics of Hyperbolic Polaritons in Nanogranules Sun, Zhiyuan; Gutiérrez-Rubio, Á.; Basov, D. N. Nano Letters, Vol. 15, Issue 7 https://doi.org/10.1021/acs.nanolett.5b00814	journal	June 2015
Bilayer Phosphorene: Effect of Stacking Order on Bandgap and Its Potential Applications in Thin-Film Solar Cells Dai, Jun; Zeng, Xiao Cheng The Journal of Physical Chemistry Letters, Vol. 5, Issue 7 https://doi.org/10.1021/jz500409m	journal	March 2014
Phosphorene: from theory to applications Carvalho, Alexandra; Wang, Min; Zhu, Xi Nature Reviews Materials, Vol. 1, Issue 11 https://doi.org/10.1038/natrevmats.2016.61	journal	August 2016
Macroscopically ordered state in an exciton system Butov, L. V.; Gossard, A. C.; Chemla, D. S. Nature, Vol. 418, Issue 6899 https://doi.org/10.1038/nature00943	journal	August 2002
High-temperature superfluidity with indirect excitons in van der Waals heterostructures Fogler, M. M.; Butov, L. V.; Novoselov, K. S. Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms5555	journal	July 2014
Black phosphorus field-effect transistors Li, Likai; Yu, Yijun; Ye, Guo Jun Nature Nanotechnology, Vol. 9, Issue 5 https://doi.org/10.1038/nnano.2014.35	journal	March 2014
Topological mosaics in moiré superlattices of van der Waals heterobilayers Tong, Qingjun; Yu, Hongyi; Zhu, Qizhong Nature Physics, Vol. 13, Issue 4 https://doi.org/10.1038/nphys3968	journal	November 2016
Quantum Hall drag of exciton condensate in graphene Liu, Xiaomeng; Watanabe, Kenji; Taniguchi, Takashi Nature Physics, Vol. 13, Issue 8 https://doi.org/10.1038/nphys4116	journal	May 2017
Excitonic superfluid phase in double bilayer graphene Li, J. I. A.; Taniguchi, T.; Watanabe, K. Nature Physics, Vol. 13, Issue 8 https://doi.org/10.1038/nphys4140	journal	May 2017
In situ click chemistry generation of cyclooxygenase-2 inhibitors Bhardwaj, Atul; Kaur, Jatinder; Wuest, Melinda Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-016-0009-6	journal	February 2017
Evidence for a topological excitonic insulator in InAs/GaSb bilayers Du, Lingjie; Li, Xinwei; Lou, Wenkai Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-017-01988-1	journal	December 2017
Double-slit photoelectron interference in strong-field ionization of the neon dimer Kunitski, Maksim; Eicke, Nicolas; Huber, Pia Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-018-07882-8	journal	January 2019
Direct observation of excitonic instability in Ta2NiSe5 Kim, Kwangrae; Kim, Hoon; Kim, Jonghwan Nature Communications, Vol. 12, Issue 1 https://doi.org/10.1038/s41467-021-22133-z	journal	March 2021
A monolayer transition-metal dichalcogenide as a topological excitonic insulator Varsano, Daniele; Palummo, Maurizia; Molinari, Elisa Nature Nanotechnology, Vol. 15, Issue 5 https://doi.org/10.1038/s41565-020-0650-4	journal	March 2020
Evidence of high-temperature exciton condensation in two-dimensional atomic double layers Wang, Zefang; Rhodes, Daniel A.; Watanabe, Kenji Nature, Vol. 574, Issue 7776 https://doi.org/10.1038/s41586-019-1591-7	journal	October 2019
The transition to the metallic state Mott, N. F. Philosophical Magazine, Vol. 6, Issue 62 https://doi.org/10.1080/14786436108243318	journal	February 1961
Ordering, metastability and phase transitions in two-dimensional systems Kosterlitz, J M; Thouless, D J Journal of Physics C: Solid State Physics, Vol. 6, Issue 7, p. 1181-1203 https://doi.org/10.1088/0022-3719/6/7/010	journal	April 1973
The half-periodic Josephson effect in an s-wave superconductor - normal-metal - d-wave superconductor junction Zagoskin, Alexandre M. Journal of Physics: Condensed Matter, Vol. 9, Issue 31 https://doi.org/10.1088/0953-8984/9/31/001	journal	August 1997
Excitonic Insulator Jérome, D.; Rice, T. M.; Kohn, W. Physical Review, Vol. 158, Issue 2 https://doi.org/10.1103/PhysRev.158.462	journal	June 1967
Collective modes in excitonic insulators: Effects of electron-phonon coupling and signatures in the optical response Murakami, Yuta; Golež, Denis; Kaneko, Tatsuya Physical Review B, Vol. 101, Issue 19 https://doi.org/10.1103/PhysRevB.101.195118	journal	May 2020
Bardasis-Schrieffer polaritons in excitonic insulators Sun, Zhiyuan; Millis, Andrew J. Physical Review B, Vol. 102, Issue 4 https://doi.org/10.1103/PhysRevB.102.041110	journal	July 2020
Collective excitations of the U (1)-symmetric exciton insulator in a cavity Lenk, Katharina; Eckstein, Martin Physical Review B, Vol. 102, Issue 20 https://doi.org/10.1103/PhysRevB.102.205129	journal	November 2020
Interacting topological mirror excitonic insulator in one dimension Hu, Lun-Hui; Zhang, Rui-Xing; Zhang, Fu-Chun Physical Review B, Vol. 102, Issue 23 https://doi.org/10.1103/PhysRevB.102.235115	journal	December 2020
Topological excitonic corner states and nodal phase in bilayer quantum spin Hall insulators Liu, Zheng-Rong; Hu, Lun-Hui; Chen, Chui-Zhen Physical Review B, Vol. 103, Issue 20 https://doi.org/10.1103/PhysRevB.103.L201115	journal	May 2021
Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar model José, Jorge V.; Kadanoff, Leo P.; Kirkpatrick, Scott Physical Review B, Vol. 16, Issue 3 https://doi.org/10.1103/PhysRevB.16.1217	journal	August 1977
Josephson current-phase relationships with unconventional superconductors Yip, Sungkit Physical Review B, Vol. 52, Issue 5 https://doi.org/10.1103/PhysRevB.52.3087	journal	August 1995
Theory of electronic ferroelectricity Portengen, T.; Östreich, Th.; Sham, L. J. Physical Review B, Vol. 54, Issue 24 https://doi.org/10.1103/PhysRevB.54.17452	journal	December 1996
Time-reversal symmetry breaking and spontaneous currents in s -wave/normal-metal/ d -wave superconductor sandwiches Huck, Andrea; van Otterlo, Anne; Sigrist, Manfred Physical Review B, Vol. 56, Issue 21 https://doi.org/10.1103/PhysRevB.56.14163	journal	December 1997
Anomalous periodicity of the current-phase relationship of grain-boundary Josephson junctions in high- T c superconductors Il’ichev, E.; Zakosarenko, V.; IJsselsteijn, R. P. J. Physical Review B, Vol. 60, Issue 5 https://doi.org/10.1103/PhysRevB.60.3096	journal	August 1999
Disappearance of ensemble-averaged Josephson current in dirty superconductor-normal-superconductor junctions of d -wave superconductors Asano, Yasuhiro Physical Review B, Vol. 64, Issue 1 https://doi.org/10.1103/PhysRevB.64.014511	journal	June 2001
Orthorhombic-to-monoclinic phase transition of Ta 2 NiSe 5 induced by the Bose-Einstein condensation of excitons Kaneko, T.; Toriyama, T.; Konishi, T. Physical Review B, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevB.87.035121	journal	January 2013
Electrons and holes in phosphorene Li, Pengke; Appelbaum, Ian Physical Review B, Vol. 90, Issue 11 https://doi.org/10.1103/PhysRevB.90.115439	journal	September 2014
Competition between excitonic charge and spin density waves: Influence of electron-phonon and Hund's rule couplings Kaneko, Tatsuya; Zenker, Bernd; Fehske, Holger Physical Review B, Vol. 92, Issue 11 https://doi.org/10.1103/PhysRevB.92.115106	journal	September 2015
Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing Sun, Kai; Yao, Hong; Fradkin, Eduardo Physical Review Letters, Vol. 103, Issue 4 https://doi.org/10.1103/PhysRevLett.103.046811	journal	July 2009
Strain-Induced Gap Modification in Black Phosphorus Rodin, A. S.; Carvalho, A.; Castro Neto, A. H. Physical Review Letters, Vol. 112, Issue 17 https://doi.org/10.1103/PhysRevLett.112.176801	journal	May 2014
Photoinduced Enhancement of Excitonic Order Murakami, Yuta; Golež, Denis; Eckstein, Martin Physical Review Letters, Vol. 119, Issue 24 https://doi.org/10.1103/PhysRevLett.119.247601	journal	December 2017
Strongly Enhanced Tunneling at Total Charge Neutrality in Double-Bilayer Graphene- WSe 2 Heterostructures Burg, G. William; Prasad, Nitin; Kim, Kyounghwan Physical Review Letters, Vol. 120, Issue 17 https://doi.org/10.1103/PhysRevLett.120.177702	journal	April 2018
Strong Coupling Nature of the Excitonic Insulator State in Ta 2 NiSe 5 Sugimoto, Koudai; Nishimoto, Satoshi; Kaneko, Tatsuya Physical Review Letters, Vol. 120, Issue 24 https://doi.org/10.1103/PhysRevLett.120.247602	journal	June 2018
Nature of Symmetry Breaking at the Excitonic Insulator Transition: Ta 2 NiSe 5 Mazza, Giacomo; Rösner, Malte; Windgätter, Lukas Physical Review Letters, Vol. 124, Issue 19 https://doi.org/10.1103/PhysRevLett.124.197601	journal	May 2020
Floquet Topological Phase of Nondriven p -Wave Nonequilibrium Excitonic Insulators Perfetto, E.; Stefanucci, G. Physical Review Letters, Vol. 125, Issue 10 https://doi.org/10.1103/PhysRevLett.125.106401	journal	September 2020
Nonlinear Spectroscopy of Collective Modes in an Excitonic Insulator Golež, Denis; Sun, Zhiyuan; Murakami, Yuta Physical Review Letters, Vol. 125, Issue 25 https://doi.org/10.1103/PhysRevLett.125.257601	journal	December 2020
Signatures of Ultrafast Reversal of Excitonic Order in Ta 2 NiSe 5 Ning, H.; Mehio, O.; Buchhold, M. Physical Review Letters, Vol. 125, Issue 26 https://doi.org/10.1103/PhysRevLett.125.267602	journal	December 2020
Topological Charge Pumping in Excitonic Insulators Sun, Zhiyuan; Millis, Andrew J. Physical Review Letters, Vol. 126, Issue 2 https://doi.org/10.1103/PhysRevLett.126.027601	journal	January 2021
Orbital Chern Insulator and Quantum Phase Diagram of a Kagome Electron System with Half-Filled Flat Bands Ren, Yafei; Jiang, Hong-Chen; Qiao, Zhenhua Physical Review Letters, Vol. 126, Issue 11 https://doi.org/10.1103/PhysRevLett.126.117602	journal	March 2021
Bulk Photovoltaic Effect Driven by Collective Excitations in a Correlated Insulator Kaneko, Tatsuya; Sun, Zhiyuan; Murakami, Yuta Physical Review Letters, Vol. 127, Issue 12 https://doi.org/10.1103/PhysRevLett.127.127402	journal	September 2021
Neutral superfluid modes and ‘‘magnetic’’ monopoles in multilayered quantum Hall systems Wen, Xiao-Gang; Zee, A. Physical Review Letters, Vol. 69, Issue 12 https://doi.org/10.1103/PhysRevLett.69.1811	journal	September 1992
Phase diagram of systems with pairing of spatially separated electrons and holes Shevchenko, S. I. Physical Review Letters, Vol. 72, Issue 20 https://doi.org/10.1103/PhysRevLett.72.3242	journal	May 1994
Josephson effect between s wave and d x 2 - y 2 wave superconductors Tanaka, Yukio Physical Review Letters, Vol. 72, Issue 24 https://doi.org/10.1103/PhysRevLett.72.3871	journal	June 1994
Condensation of Indirect Excitons in Coupled AlAs/GaAs Quantum Wells Butov, L. V.; Zrenner, A.; Abstreiter, G. Physical Review Letters, Vol. 73, Issue 2 https://doi.org/10.1103/PhysRevLett.73.304	journal	July 1994
Resonantly Enhanced Tunneling in a Double Layer Quantum Hall Ferromagnet Spielman, I. B.; Eisenstein, J. P.; Pfeiffer, L. N. Physical Review Letters, Vol. 84, Issue 25 https://doi.org/10.1103/PhysRevLett.84.5808	journal	June 2000
Interlayer Tunneling in Double-Layer Quantum Hall Pseudoferromagnets Balents, L.; Radzihovsky, L. Physical Review Letters, Vol. 86, Issue 9 https://doi.org/10.1103/PhysRevLett.86.1825	journal	February 2001
Theory of Interlayer Tunneling in Bilayer Quantum Hall Ferromagnets Stern, Ady; Girvin, S. M.; MacDonald, A. H. Physical Review Letters, Vol. 86, Issue 9 https://doi.org/10.1103/PhysRevLett.86.1829	journal	February 2001
Josephson Effect without Superconductivity: Realization in Quantum Hall Bilayers Fogler, Michael M.; Wilczek, Frank Physical Review Letters, Vol. 86, Issue 9 https://doi.org/10.1103/PhysRevLett.86.1833	journal	February 2001
Degenerate Ground State in a Mesoscopic YBa 2 Cu 3 O 7 − x Grain Boundary Josephson Junction Il'ichev, E.; Grajcar, M.; Hlubina, R. Physical Review Letters, Vol. 86, Issue 23 https://doi.org/10.1103/PhysRevLett.86.5369	journal	June 2001
Observation of a Linearly Dispersing Collective Mode in a Quantum Hall Ferromagnet Spielman, I. B.; Eisenstein, J. P.; Pfeiffer, L. N. Physical Review Letters, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevLett.87.036803	journal	July 2001
Is there a dc Josephson Effect in Bilayer Quantum Hall Systems? Joglekar, Yogesh N.; MacDonald, Allan H. Physical Review Letters, Vol. 87, Issue 19 https://doi.org/10.1103/PhysRevLett.87.196802	journal	October 2001
Collective modes and terahertz near-field response of superconductors Sun, Zhiyuan; Fogler, M. M.; Basov, D. N. Physical Review Research, Vol. 2, Issue 2 https://doi.org/10.1103/PhysRevResearch.2.023413	journal	June 2020
Possible Anomalies at a Semimetal-Semiconductor Transistion Halperin, B. I.; Rice, T. M. Reviews of Modern Physics, Vol. 40, Issue 4 https://doi.org/10.1103/RevModPhys.40.755	journal	October 1968
The current-phase relation in Josephson junctions Golubov, A. A.; Kupriyanov, M. Yu.; Il’ichev, E. Reviews of Modern Physics, Vol. 76, Issue 2 https://doi.org/10.1103/RevModPhys.76.411	journal	April 2004
Weyl and Dirac semimetals in three-dimensional solids Armitage, N. P.; Mele, E. J.; Vishwanath, Ashvin Reviews of Modern Physics, Vol. 90, Issue 1 https://doi.org/10.1103/RevModPhys.90.015001	journal	January 2018
Coherent order parameter oscillations in the ground state of the excitonic insulator Ta ₂ NiSe ₅ Werdehausen, Daniel; Takayama, Tomohiro; Höppner, Marc Science Advances, Vol. 4, Issue 3 https://doi.org/10.1126/sciadv.aap8652	journal	March 2018
Gate tuning from exciton superfluid to quantum anomalous Hall in van der Waals heterobilayer Zhu, Qizhong; Tu, Matisse Wei-Yuan; Tong, Qingjun Science Advances, Vol. 5, Issue 1 https://doi.org/10.1126/sciadv.aau6120	journal	January 2019
Imaging the coherent propagation of collective modes in the excitonic insulator Ta ₂ NiSe ₅ at room temperature Bretscher, Hope M.; Andrich, Paolo; Murakami, Yuta Science Advances, Vol. 7, Issue 28 https://doi.org/10.1126/sciadv.abd6147	journal	July 2021
Observation of tunable band gap and anisotropic Dirac semimetal state in black phosphorus Kim, J.; Baik, S. S.; Ryu, S. H. Science, Vol. 349, Issue 6249 https://doi.org/10.1126/science.aaa6486	journal	August 2015
Polaritons in van der Waals materials Basov, D. N.; Fogler, M. M.; Garcia de Abajo, F. J. Science, Vol. 354, Issue 6309 https://doi.org/10.1126/science.aag1992	journal	October 2016
Exciton Condensation in Bilayer Quantum Hall Systems Eisenstein, J. P. Annual Review of Condensed Matter Physics, Vol. 5, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031113-133832	journal	March 2014
The Quantum Anomalous Hall Effect: Theory and Experiment Liu, Chao-Xing; Zhang, Shou-Cheng; Qi, Xiao-Liang Annual Review of Condensed Matter Physics, Vol. 7, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031115-011417	journal	March 2016

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