Pair density wave and s±id superconductivity in a strongly coupled lightly doped Kondo insulator

Liu, Fangze; Han, Zhaoyu

doi:10.1103/physrevb.109.l121101

Title: Pair density wave and s ± id superconductivity in a strongly coupled lightly doped Kondo insulator

Journal Article · 29 February 2024 · Physical Review. B

DOI: https://doi.org/10.1103/physrevb.109.l121101 · OSTI ID:2405021

^[1];

^[2]

Stanford Univ., CA (United States); SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); SLAC
Stanford Univ., CA (United States)

Here, we investigate the large Kondo coupling limit of the Kondo-Heisenberg model on one- and two-dimensional lattices. Focusing on the possible superconducting states when slightly doping the Kondo insulator state, we identify different pairing modes to be most stable in different parameter regimes. Possibilities include uniform s-wave, pair-density-wave with momentum π (in both one and two dimensions) and uniform s ± id_x²-y² wave (in two dimensions). We attribute these exotic pairing states to the presence of various pair-hopping terms with a "wrong'' sign in the effective model, a mechanism that is likely universal for inducing pairing states with spatially modulated pair wavefunctions.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE)

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 2405021

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 12 Vol. 109; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (48)

Frustration and the Kondo Effect in Heavy Fermion Materials Coleman, Piers; Nevidomskyy, Andriy H. Journal of Low Temperature Physics, Vol. 161, Issue 1-2 https://doi.org/10.1007/s10909-010-0213-4	journal	September 2010
Some exact results for the Kondo lattice with infinite exchange interaction Lacroix, C. Solid State Communications, Vol. 54, Issue 11 https://doi.org/10.1016/0038-1098(85)90171-1	journal	June 1985
The Kondo lattice and weak antiferromagnetism Doniach, S. Physica B+C, Vol. 91 https://doi.org/10.1016/0378-4363(77)90190-5	journal	July 1977
Competing magnetic orders in a bilayer Hubbard model with ultracold atoms Gall, Marcell; Wurz, Nicola; Samland, Jens Nature, Vol. 589, Issue 7840 https://doi.org/10.1038/s41586-020-03058-x	journal	January 2021
Realizing the symmetry-protected Haldane phase in Fermi–Hubbard ladders Sompet, Pimonpan; Hirthe, Sarah; Bourgund, Dominik Nature, Vol. 606, Issue 7914 https://doi.org/10.1038/s41586-022-04688-z	journal	June 2022
Superconductor-metal transition in odd-frequency–paired superconductor in a magnetic field Tsvelik, A. M. Proceedings of the National Academy of Sciences, Vol. 116, Issue 26 https://doi.org/10.1073/pnas.1902928116	journal	June 2019
The one-dimensional Kondo lattice model at partial band filling Gulácsi *, Miklós Advances in Physics, Vol. 53, Issue 7 https://doi.org/10.1080/00018730412331313997	journal	November 2004
The Kondo lattice model Gulacsi, Miklos Philosophical Magazine, Vol. 86, Issue 13-14 https://doi.org/10.1080/14786430500355045	journal	May 2006
On the solution of the Coqblin-Schreiffer Hamiltonian by the large-N expansion technique Read, N.; Newns, D. M. Journal of Physics C: Solid State Physics, Vol. 16, Issue 17 https://doi.org/10.1088/0022-3719/16/17/014	journal	June 1983
A new functional integral formalism for the degenerate Anderson model Read, N.; Newns, D. M. Journal of Physics C: Solid State Physics, Vol. 16, Issue 29 https://doi.org/10.1088/0022-3719/16/29/007	journal	October 1983
Pairing Symmetry of Heavy Fermion Superconductivity in the Two-Dimensional Kondo—Heisenberg Lattice Model Liu, Yu; Zhang, Guang-Ming; Yu, Lu Chinese Physics Letters, Vol. 31, Issue 8 https://doi.org/10.1088/0256-307X/31/8/087102	journal	August 2014
Kondo-stabilised spin liquids and heavy fermion superconductivity Coleman, P.; Andrei, N. Journal of Physics: Condensed Matter, Vol. 1, Issue 26 https://doi.org/10.1088/0953-8984/1/26/003	journal	July 1989
Self-doped Mott insulator for parent compounds of nickelate superconductors Zhang, Guang-Ming; Yang, Yi-feng; Zhang, Fu-Chun Physical Review B, Vol. 101, Issue 2 https://doi.org/10.1103/PhysRevB.101.020501	journal	January 2020
Quantum phase transition in a two-dimensional Kondo-Heisenberg model: A dynamical Schwinger-boson large- N approach Wang, Jiangfan; Chang, Yung-Yeh; Mou, Chung-Yu Physical Review B, Vol. 102, Issue 11 https://doi.org/10.1103/PhysRevB.102.115133	journal	September 2020
Pair-density-wave superconductor from doping Haldane chain and rung-singlet ladder Zhang, Ya-Hui; Vishwanath, Ashvin Physical Review B, Vol. 106, Issue 4 https://doi.org/10.1103/PhysRevB.106.045103	journal	July 2022
Kondo effect in twisted bilayer graphene Shankar, A. S.; Oriekhov, D. O.; Mitchell, Andrew K. Physical Review B, Vol. 107, Issue 24 https://doi.org/10.1103/PhysRevB.107.245102	journal	June 2023
Triplet pair density wave superconductivity on the π -flux square lattice Shaffer, Daniel; Santos, Luiz H. Physical Review B, Vol. 108, Issue 3 https://doi.org/10.1103/PhysRevB.108.035135	journal	July 2023
New approach to the mixed-valence problem Coleman, Piers Physical Review B, Vol. 29, Issue 6 https://doi.org/10.1103/PhysRevB.29.3035	journal	March 1984
Stability of the Kondo lattice in the large- N limit Read, N.; Newns, D. M.; Doniach, S. Physical Review B, Vol. 30, Issue 7 https://doi.org/10.1103/PhysRevB.30.3841	journal	October 1984
Mixed valence as an almost broken symmetry Coleman, Piers Physical Review B, Vol. 35, Issue 10 https://doi.org/10.1103/PhysRevB.35.5072	journal	April 1987
Ferromagnetism in the strong-coupling regime of the one-dimensional Kondo-lattice model Sigrist, Manfred; Tsunetsugu, Hirokazu; Ueda, Kazuo Physical Review B, Vol. 46, Issue 21 https://doi.org/10.1103/PhysRevB.46.13838	journal	December 1992
Odd-frequency pairing in the Kondo lattice Coleman, P.; Miranda, E.; Tsvelik, A. Physical Review B, Vol. 49, Issue 13 https://doi.org/10.1103/PhysRevB.49.8955	journal	April 1994
Revisited Doniach diagram: Influence of short-range antiferromagnetic correlations in the Kondo lattice Iglesias, J. R.; Lacroix, C.; Coqblin, B. Physical Review B, Vol. 56, Issue 18 https://doi.org/10.1103/PhysRevB.56.11820	journal	November 1997
Classification and stability of phases of the multicomponent one-dimensional electron gas Emery, V. J.; Kivelson, S. A.; Zachar, O. Physical Review B, Vol. 59, Issue 24 https://doi.org/10.1103/PhysRevB.59.15641	journal	June 1999
Staggered liquid phases of the one-dimensional Kondo-Heisenberg lattice model Zachar, Oron Physical Review B, Vol. 63, Issue 20 https://doi.org/10.1103/PhysRevB.63.205104	journal	April 2001
One-dimensional electron gas interacting with a Heisenberg spin-1/2 chain Zachar, Oron; Tsvelik, Alexei M. Physical Review B, Vol. 64, Issue 3 https://doi.org/10.1103/PhysRevB.64.033103	journal	June 2001
Weak magnetism and non-Fermi liquids near heavy-fermion critical points Senthil, T.; Vojta, Matthias; Sachdev, Subir Physical Review B, Vol. 69, Issue 3 https://doi.org/10.1103/PhysRevB.69.035111	journal	January 2004
Quantum critical point in the Kondo-Heisenberg model on the honeycomb lattice Saremi, Saeed; Lee, Patrick A. Physical Review B, Vol. 75, Issue 16 https://doi.org/10.1103/PhysRevB.75.165110	journal	April 2007
Coexistence of magnetic order and Kondo effect in the Kondo-Heisenberg model Bernhard, B. H.; Lacroix, C. Physical Review B, Vol. 92, Issue 9 https://doi.org/10.1103/PhysRevB.92.094401	journal	September 2015
Kondo Stripes in an Anderson-Heisenberg Model of Heavy Fermion Systems Zhu, Jian-Xin; Martin, I.; Bishop, A. R. Physical Review Letters, Vol. 100, Issue 23 https://doi.org/10.1103/PhysRevLett.100.236403	journal	June 2008
Pair-Density-Wave Correlations in the Kondo-Heisenberg Model Berg, Erez; Fradkin, Eduardo; Kivelson, Steven A. Physical Review Letters, Vol. 105, Issue 14 https://doi.org/10.1103/PhysRevLett.105.146403	journal	September 2010
Tandem Pairing in Heavy-Fermion Superconductors Flint, Rebecca; Coleman, Piers Physical Review Letters, Vol. 105, Issue 24 https://doi.org/10.1103/PhysRevLett.105.246404	journal	December 2010
Emergent Critical Charge Fluctuations at the Kondo Breakdown of Heavy Fermions Komijani, Yashar; Coleman, Piers Physical Review Letters, Vol. 122, Issue 21 https://doi.org/10.1103/PhysRevLett.122.217001	journal	May 2019
Strong Coupling Limit of the Holstein-Hubbard Model Han, Zhaoyu; Kivelson, Steven A.; Yao, Hong Physical Review Letters, Vol. 125, Issue 16 https://doi.org/10.1103/PhysRevLett.125.167001	journal	October 2020
Magic-Angle Twisted Bilayer Graphene as a Topological Heavy Fermion Problem Song, Zhi-Da; Bernevig, B. Andrei Physical Review Letters, Vol. 129, Issue 4 https://doi.org/10.1103/PhysRevLett.129.047601	journal	July 2022
Pair Density Wave Order from Electron Repulsion Wu, Yi-Ming; Nosov, P. A.; Patel, Aavishkar A. Physical Review Letters, Vol. 130, Issue 2 https://doi.org/10.1103/PhysRevLett.130.026001	journal	January 2023
Kondo Lattice Model in Magic-Angle Twisted Bilayer Graphene Chou, Yang-Zhi; Das Sarma, Sankar Physical Review Letters, Vol. 131, Issue 2 https://doi.org/10.1103/PhysRevLett.131.026501	journal	July 2023
Kondo Lattice Model of Magic-Angle Twisted-Bilayer Graphene: Hund’s Rule, Local-Moment Fluctuations, and Low-Energy Effective Theory Hu, Haoyu; Bernevig, B. Andrei; Tsvelik, Alexei M. Physical Review Letters, Vol. 131, Issue 2 https://doi.org/10.1103/PhysRevLett.131.026502	journal	July 2023
Kondo Bosons and the Kondo Lattice: Microscopic Basis for the Heavy Fermi Liquid Auerbach, Assa; Levin, K. Physical Review Letters, Vol. 57, Issue 7 https://doi.org/10.1103/PhysRevLett.57.877	journal	August 1986
Large- N expansion for frustrated quantum antiferromagnets Read, N.; Sachdev, Subir Physical Review Letters, Vol. 66, Issue 13 https://doi.org/10.1103/PhysRevLett.66.1773	journal	April 1991
Fractionalized Fermi Liquids Senthil, T.; Sachdev, Subir; Vojta, Matthias Physical Review Letters, Vol. 90, Issue 21 https://doi.org/10.1103/PhysRevLett.90.216403	journal	May 2003
Kondo Breakdown and Hybridization Fluctuations in the Kondo-Heisenberg Lattice Paul, I.; Pépin, C.; Norman, M. R. Physical Review Letters, Vol. 98, Issue 2 https://doi.org/10.1103/PhysRevLett.98.026402	journal	January 2007
The ground-state phase diagram of the one-dimensional Kondo lattice model Tsunetsugu, Hirokazu; Sigrist, Manfred; Ueda, Kazuo Reviews of Modern Physics, Vol. 69, Issue 3 https://doi.org/10.1103/RevModPhys.69.809	journal	July 1997
Heavy Fermions and Quantum Phase Transitions Si, Q.; Steglich, F. Science, Vol. 329, Issue 5996 https://doi.org/10.1126/science.1191195	journal	September 2010
Fermionology in the Kondo-Heisenberg model: the case of CeCoIn5 Zhong, Yin; Zhang, Lan; Lu, Han-Tao The European Physical Journal B, Vol. 88, Issue 9 https://doi.org/10.1140/epjb/e2015-60419-4	journal	September 2015
The Physics of Pair-Density Waves: Cuprate Superconductors and Beyond Agterberg, Daniel F.; Davis, J. C. Séamus; Edkins, Stephen D. Annual Review of Condensed Matter Physics, Vol. 11, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031119-050711	journal	March 2020
d -Wave Superconductivity in the Strong-Coupling Kondo Lattice Model Bastide, C.; Lacroix, C. Europhysics Letters (EPL), Vol. 4, Issue 8 https://doi.org/10.1209/0295-5075/4/8/013	journal	October 1987
Kondo Destruction and Quantum Criticality in Kondo Lattice Systems Si, Qimiao; Pixley, Jedediah H.; Nica, Emilian Journal of the Physical Society of Japan, Vol. 83, Issue 6 https://doi.org/10.7566/JPSJ.83.061005	journal	June 2014

Similar Records

Local lattice distortions and electronic orders in strongly correlated systems by resonant total x-ray scattering: A case study of APt2X2 intermetallics (A=U, Ce, or La and X=Si or Ge)

Journal Article · 2023 · Physical Review. B · OSTI ID:2337941

Petkov, Valeri; Baumbach, R.; Jakhar, Mukesh; +5 more

Persistence of the Z=28 shell gap in A=75 isobars: Identification of a possible (1/2–) μs isomer in Co75 and β decay to Ni75

Journal Article · 2021 · Physical Review. C · OSTI ID:1850007

Escrig, Samuel; Morales, Ana I.; Nishimura, S.; +40 more

Ab initio investigation of the Li7(p,e+e-)Be8 process and the X17 boson

Journal Article · 2024 · Physical Review. C · OSTI ID:2438188

Gysbers, P.; Navrátil, P.; Kravvaris, K.; +2 more

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY

Title: Pair density wave and s ± id superconductivity in a strongly coupled lightly doped Kondo insulator

Citation Formats

References (48)

Similar Records

Related Subjects