Abstract
AbstractIn noncentrosymmetric crystals with broken inversion symmetry $${\boldsymbol{ {\mathcal I} }}$$ ℐ , the I-V (I: current, V: voltage) characteristic is generally expected to depend on the direction of I, which is known as nonreciprocal response and, for example, found in p-n junction. However, it is a highly nontrivial issue in translationally invariant systems since the time-reversal symmetry T plays an essential role, where the two states at crystal momenta k and −k are connected in the band structure. Therefore, it has been considered that the external magnetic field (B) or the magnetic order which breaks the T-symmetry is necessary to realize the nonreciprocal I-V characteristics, i.e., magnetochiral anisotropy. Here we theoretically show that the electron correlation in T-broken multi-band systems can induce nonreciprocal I-V characteristics without T-breaking. An analog of Onsager’s relation shows that nonreciprocal current response without T -breaking generally requires two effects: dissipation and interactions. By using nonequilibrium Green’s functions, we derive general formula of the nonreciprocal response for two-band systems with onsite interaction. The formula is applied to Rice-Mele model, a representative 1D model with inversion breaking, and some candidate materials are discussed. This finding offers a coherent understanding of the origin of nonreciprocal I-V characteristics, and will pave a way to design it.
References
46
Referenced
43
-
Resta, R. Macroscopic polarization in crystalline dielectrics: the geometric phase approach. Rev. Mod. Phys. 66, 899–915 (1994).
(
10.1103/RevModPhys.66.899
) / Rev. Mod. Phys. by R Resta (1994) -
Grinberg, I. et al. Perovskite oxides for visible-light-absorbing ferroelectric and photovoltaic materials. Nature 503, 509–512 (2013).
(
10.1038/nature12622
) / Nature by I Grinberg (2013) -
Nie, W. et al. High-efficiency solution-processed perovskite solar cells with millimeter-scale grains. Science 347, 522–525 (2015).
(
10.1126/science.aaa0472
) / Science by W Nie (2015) -
Shi, D. et al. Low trap-state density and long carrier diffusion in organolead trihalide perovskite single crystals. Science 347, 519–522 (2015).
(
10.1126/science.aaa2725
) / Science by D Shi (2015) -
de Quilettes, D. W. et al. Impact of microstructure on local carrier lifetime in perovskite solar cells. Science 348, 683–686 (2015).
(
10.1126/science.aaa5333
) / Science by DW de Quilettes (2015) -
von Baltz, R. & Kraut, W. Theory of the bulk photovoltaic effect in pure crystals. Phys. Rev. B 23, 5590–5596 (1981).
(
10.1103/PhysRevB.23.5590
) / Phys. Rev. B by R von Baltz (1981) -
Sipe, J. E. & Shkrebtii, A. I. Second-order optical response in semiconductors. Phys. Rev. B 61, 5337–5352 (2000).
(
10.1103/PhysRevB.61.5337
) / Phys. Rev. B by JE Sipe (2000) -
Young, S. M. & Rappe, A. M. First principles calculation of the shift current photovoltaic effect in ferroelectrics. Phys. Rev. Lett. 109, 116601 (2012).
(
10.1103/PhysRevLett.109.116601
) / Phys. Rev. Lett. by SM Young (2012) -
Cook, A. M., Fregoso, B. M., De Juan, F., Coh, S. & Moore, J. E. Design principles for shift current photovoltaics. Nature communications 8, 14176 (2017).
(
10.1038/ncomms14176
) / Nature communications by AM Cook (2017) -
Morimoto, T. & Nagaosa, N. Topological nature of nonlinear optical effects in solids. Science Advances 2, e1501524 (2016).
(
10.1126/sciadv.1501524
) / Science Advances by T Morimoto (2016) - Boyd, R. W. Nonlinear optics. (Academic press, London, 2003). / Nonlinear optics by RW Boyd (2003)
-
Bloembergen, N. Nonlinear optics. (World Scientific, Singapore, 1996).
(
10.1142/3046
) / Nonlinear optics by N Bloembergen (1996) -
Wu, L. et al. Giant anisotropic nonlinear optical response in transition metal monopnictide Weyl semimetals. Nature Physics 13, 350–355 (2017).
(
10.1038/nphys3969
) / Nature Physics by L Wu (2017) -
Christen, T. & Büttiker, M. Gauge-invariant nonlinear electric transport in mesoscopic conductors. EPL (Europhysics Letters) 35, 523 (1996).
(
10.1209/epl/i1996-00145-8
) / EPL (Europhysics Letters) by T Christen (1996) -
Song, A. M. Formalism of nonlinear transport in mesoscopic conductors. Phys. Rev. B 59, 9806–9809 (1999).
(
10.1103/PhysRevB.59.9806
) / Phys. Rev. B by AM Song (1999) -
Sánchez, D. & Büttiker, M. Magnetic-field asymmetry of nonlinear mesoscopic transport. Phys. Rev. Lett. 93, 106802 (2004).
(
10.1103/PhysRevLett.93.106802
) / Phys. Rev. Lett. by D Sánchez (2004) -
Rikken, G. & Raupach, E. Observation of magneto-chiral dichroism. Nature 390, 493–494 (1997).
(
10.1038/37323
) / Nature by G Rikken (1997) -
Rikken, G. L. J. A., Fölling, J. & Wyder, P. Electrical magnetochiral anisotropy. Phys. Rev. Lett. 87, 236602 (2001).
(
10.1103/PhysRevLett.87.236602
) / Phys. Rev. Lett. by GLJA Rikken (2001) -
Krstić, V., Roth, S., Burghard, M., Kern, K. & Rikken, G. L. J. A. Magneto-chiral anisotropy in charge transport through single-walled carbon nanotubes. J. Chem. Phys. 117 (2002).
(
10.1063/1.1523895
) -
Rikken, G. L. J. A. & Wyder, P. Magnetoelectric anisotropy in diffusive transport. Phys. Rev. Lett. 94, 016601 (2005).
(
10.1103/PhysRevLett.94.016601
) / Phys. Rev. Lett. by GLJA Rikken (2005) -
Pop, F., Auban-Senzier, P., Canadell, E., Rikken, G. L. & Avarvari, N. Electrical magnetochiral anisotropy in a bulk chiral molecular conductor. Nat. Commun. 5, 3757 (2014).
(
10.1038/ncomms4757
) / Nat. Commun. by F Pop (2014) -
Morimoto, T. & Nagaosa, N. Chiral anomaly and giant magnetochiral anisotropy in noncentrosymmetric Weyl semimetals. Phys. Rev. Lett. 117, 146603 (2016).
(
10.1103/PhysRevLett.117.146603
) / Phys. Rev. Lett. by T Morimoto (2016) -
Ideue, T. et al. Bulk rectification effect in a polar semiconductor. Nature Physics 13, 578–583 (2017).
(
10.1038/nphys4056
) / Nature Physics by T Ideue (2017) -
Wakatsuki, R. et al. Nonreciprocal charge transport in noncentrosymmetric superconductors. Science Advances 3, e1602390 (2017).
(
10.1126/sciadv.1602390
) / Science Advances by R Wakatsuki (2017) -
Onoda, S., Sugimoto, N. & Nagaosa, N. Theory of non-equilibirum states driven by constant electromagnetic fields non-commutative quantum mechanics in the Keldysh formalism. Progress of Theoretical Physics 116, 61 (2006).
(
10.1143/PTP.116.61
) / Progress of Theoretical Physics by S Onoda (2006) -
Sugimoto, N., Onoda, S. & Nagaosa, N. Field-induced metal-insulator transition and switching phenomenon in correlated insulators. Phys. Rev. B 78, 155104 (2008).
(
10.1103/PhysRevB.78.155104
) / Phys. Rev. B by N Sugimoto (2008) -
Tokura, Y., Okamoto, H., Koda, T., Mitani, T. & Saito, G. Nonlinear electric transport and switching phenomenon in the mixed-stack charge-transfer crystal tetrathiafulvalene-p-chloranil. Phys. Rev. B 38, 2215–2218 (1988).
(
10.1103/PhysRevB.38.2215
) / Phys. Rev. B by Y Tokura (1988) -
Mitani, T. et al. Electric conductivity and phase diagram of a mixed-stack charge-transfer crystal: Tetrathiafulvalene-p-chloranil. Phys. Rev. B 35, 427–429 (1987).
(
10.1103/PhysRevB.35.427
) / Phys. Rev. B by T Mitani (1987) -
Moore, J. E. & Orenstein, J. Confinement-induced Berry phase and helicity-dependent photocurrents. Phys. Rev. Lett. 105, 026805 (2010).
(
10.1103/PhysRevLett.105.026805
) / Phys. Rev. Lett. by JE Moore (2010) -
Sodemann, I. & Fu, L. Quantum nonlinear Hall effect induced by berry curvature dipole in time-reversal invariant materials. Phys. Rev. Lett. 115, 216806 (2015).
(
10.1103/PhysRevLett.115.216806
) / Phys. Rev. Lett. by I Sodemann (2015) -
Morimoto, T., Zhong, S., Orenstein, J. & Moore, J. E. Semiclassical theory of nonlinear magneto-optical responses with applications to topological Dirac/Weyl semimetals. Phys. Rev. B 94, 245121 (2016).
(
10.1103/PhysRevB.94.245121
) / Phys. Rev. B by T Morimoto (2016) -
Onsager, L. Reciprocal relations in irreversible processes. I. Phys. Rev. 37, 405–426 (1931).
(
10.1103/PhysRev.37.405
) / Phys. Rev. by L Onsager (1931) -
Nagaosa, N. & Morimoto, T. Concept of quantum geometry in optoelectronic processes in solids: Application to solar cells. Advanced Materials 1603345 (2017).
(
10.1002/adma.201603345
) -
Rammer, J. & Smith, H. Quantum field-theoretical methods in transport theory of metals. Rev. Mod. Phys. 58, 323–359 (1986).
(
10.1103/RevModPhys.58.323
) / Rev. Mod. Phys. by J Rammer (1986) -
Jauho, A.-P., Wingreen, N. S. & Meir, Y. Time-dependent transport in interacting and noninteracting resonant-tunneling systems. Phys. Rev. B 50, 5528–5544 (1994).
(
10.1103/PhysRevB.50.5528
) / Phys. Rev. B by A-P Jauho (1994) -
Kohler, S., Lehmann, J. & Hänggi, P. Driven quantum transport on the nanoscale. Physics Reports 406, 379–443 (2005).
(
10.1016/j.physrep.2004.11.002
) / Physics Reports by S Kohler (2005) -
Kamenev, A. Many-body theory of non-equilibrium systems. arXiv:0412296 (2004).
(
10.1016/S0924-8099(05)80045-9
) -
Niu, Q., Thouless, D. J. & Wu, Y.-S. Quantized hall conductance as a topological invariant. Phys. Rev. B 31, 3372–3377 (1985).
(
10.1103/PhysRevB.31.3372
) / Phys. Rev. B by Q Niu (1985) -
Rice, M. J. & Mele, E. J. Elementary excitations of a linearly conjugated diatomic polymer. Phys. Rev. Lett. 49, 1455–1459 (1982).
(
10.1103/PhysRevLett.49.1455
) / Phys. Rev. Lett. by MJ Rice (1982) -
Su, W. P., Schrieffer, J. R. & Heeger, A. J. Soliton excitations in polyacetylene. Phys. Rev. B 22, 2099–2111 (1980).
(
10.1103/PhysRevB.22.2099
) / Phys. Rev. B by WP Su (1980) -
Nagaosa, N. & Takimoto, J. Theory of neutral-ionic transition in organic crystals. I. Monte Carlo simulation of modified Hubbard model. J. Phys. Soc. of Jpn. 55, 2735–2744 (1986).
(
10.1143/JPSJ.55.2735
) / J. Phys. Soc. of Jpn. by N Nagaosa (1986) -
Onoda, S., Murakami, S. & Nagaosa, N. Topological nature of polarization and charge pumping in ferroelectrics. Phys. Rev. Lett. 93, 167602 (2004).
(
10.1103/PhysRevLett.93.167602
) / Phys. Rev. Lett. by S Onoda (2004) -
Egami, T., Ishihara, S. & Tachiki, M. Lattice effect of strong electron correlation: Implication for ferroelectricity and superconductivity. Science 261, 1307–1310 (1993).
(
10.1126/science.261.5126.1307
) / Science by T Egami (1993) -
Kim, K. W., Morimoto, T. & Nagaosa, N. Shift charge and spin photocurrents in dirac surface states of topological insulator. Phys. Rev. B 95, 035134 (2017).
(
10.1103/PhysRevB.95.035134
) / Phys. Rev. B by KW Kim (2017) -
Aoki, H. et al. Nonequilibrium dynamical mean-field theory and its applications. Rev. Mod. Phys. 86, 779–837 (2014).
(
10.1103/RevModPhys.86.779
) / Rev. Mod. Phys. by H Aoki (2014) -
Hanai, R., Littlewood, P. B. & Ohashi, Y. Non-equilibrium properties of a pumped-decaying Bose-condensed electron–hole gas in the BCS–BEC crossover region. Journal of Low Temperature Physics 183, 127–135 (2016).
(
10.1007/s10909-016-1552-6
) / Journal of Low Temperature Physics by R Hanai (2016)
Dates
Type | When |
---|---|
Created | 7 years, 6 months ago (Feb. 8, 2018, 5:20 a.m.) |
Deposited | 2 years, 8 months ago (Dec. 20, 2022, 9:28 p.m.) |
Indexed | 2 weeks, 2 days ago (Aug. 6, 2025, 8:23 a.m.) |
Issued | 7 years, 6 months ago (Feb. 14, 2018) |
Published | 7 years, 6 months ago (Feb. 14, 2018) |
Published Online | 7 years, 6 months ago (Feb. 14, 2018) |
@article{Morimoto_2018, title={Nonreciprocal current from electron interactions in noncentrosymmetric crystals: roles of time reversal symmetry and dissipation}, volume={8}, ISSN={2045-2322}, url={http://dx.doi.org/10.1038/s41598-018-20539-2}, DOI={10.1038/s41598-018-20539-2}, number={1}, journal={Scientific Reports}, publisher={Springer Science and Business Media LLC}, author={Morimoto, Takahiro and Nagaosa, Naoto}, year={2018}, month=feb }