Patrick A. Lee
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Patrick A. Lee has a total of 36 co-authors. Here are the top co-authors by number of shared publications:
Byungmin Kang
Massachusetts Institute of Technology
2 shared publications- Dmitri A. Ivanov
Institute for Theoretical Physics, ETH Zurich, 8093 Zurich, Switzerland
2 shared publications - Zhiyu Dong
California Institute of Technology
2 shared publications Aaron Chan
Department of Physics
1 shared publicationAini Xu
Beijing National Laboratory for Condensed Matter Physics
1 shared publication- Ajesh Kumar
Massachusetts Institute of Technology
1 shared publication
Latest Publications
- 4 November 2026
- Published by American Physical Society (APS) in Physical Review B
- Vol. 114 (25) , 254504
Path to superconductivity via strong short-range repulsion in a spin-polarized band
We predict that the spin-polarized electrons in a two-dimensional triangular lattice with strong electron-electron repulsion give rise to $f$-wave pairing. The key point is that the first-order interaction, which is usually pair breaking, vanishes or nearly vanishes in certain $f$-wave channels due to symmetry constraints. As a result, these $f$-wave pairing channels are governed by the subleading-order processes which enable pairing when the perturbation theory is controlled. We illustrate this point using the Hubbard model on the triangular lattice with on-site and nearest-neighbor repulsion, where we find a transition temperature ${T}_{c}\ensuremath{\sim}0.2%$ of the Fermi energy. For a general screened interaction, the same idea works asymptotically, but a third-order calculation is needed to fully determine the strength of $f$-wave pairing.- 4 November 2026
- Published by American Physical Society (APS) in Physical Review B
- Vol. 114 (25) , 254504
Path to superconductivity via strong short-range repulsion in a spin-polarized band
We predict that the spin-polarized electrons in a two-dimensional triangular lattice with strong electron-electron repulsion give rise to $f$-wave pairing. The key point is that the first-order interaction, which is usually pair breaking, vanishes or nearly vanishes in certain $f$-wave channels due to symmetry constraints. As a result, these $f$-wave pairing channels are governed by the subleading-order processes which enable pairing when the perturbation theory is controlled. We illustrate this point using the Hubbard model on the triangular lattice with on-site and nearest-neighbor repulsion, where we find a transition temperature ${T}_{c}\ensuremath{\sim}0.2%$ of the Fermi energy. For a general screened interaction, the same idea works asymptotically, but a third-order calculation is needed to fully determine the strength of $f$-wave pairing.- Open Access
- 15 July 2026
- Published by National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 123 (29)
Parametrically amplified Josephson plasma waves in YBa2Cu3O6+x: Evidence for local superconducting fluctuations up to the pseudogap temperature T∗.
Experiments that subject underdoped YBa2Cu3O6+x (YBCO) to intense terahertz pulses at temperatures between the transition temperature [Formula: see text] and the pseudogap scale T∗ have revealed a reflectivity edge that resembles that of the superconducting state, together with second harmonic generation of a probe pulse modulated at a similar frequency. These have been interpreted in terms of parametric amplification of the lower Josephson plasmon mode. Since this mode is often associated with coherent oscillations between bilayers in the YBCO structure, these experiments have led to the suggestion that the intense pump has created (or revealed) in-plane pair coherence up to [Formula: see text] K. In this paper we propose an alternative explanation by assuming the existence of local pair amplitude and phase at equilibrium for [Formula: see text]. The phase correlation spans only a few lattice constants and we do not assume any pump-induced enhancement of this correlation, either in-plane or between bilayers. Instead, the coherent drive, via a parametric amplification process, induces coherence in the Josephson currents between members of bilayers. When combined with a Floquet framework, the reflectivity data can be explained. The key point is that in the lower Josephson plasmon, the coupling between bilayers is mainly capacitive; the Josephson current between bilayers can be set to zero without strongly affecting the parametric amplification process. Importantly, while superconducting coherence may not be created by the pump, the pseudogap phase must possess a local pairing amplitude at equilibrium. Consequently, these experiments have strong implications for the understanding of the pseudogap phase.
- 15 July 2026
- Published by National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 123 (29)
Open AccessParametrically amplified Josephson plasma waves in YBa2Cu3O6+x: Evidence for local superconducting fluctuations up to the pseudogap temperature T∗.
Experiments that subject underdoped YBa2Cu3O6+x (YBCO) to intense terahertz pulses at temperatures between the transition temperature [Formula: see text] and the pseudogap scale T∗ have revealed a reflectivity edge that resembles that of the superconducting state, together with second harmonic generation of a probe pulse modulated at a similar frequency. These have been interpreted in terms of parametric amplification of the lower Josephson plasmon mode. Since this mode is often associated with coherent oscillations between bilayers in the YBCO structure, these experiments have led to the suggestion that the intense pump has created (or revealed) in-plane pair coherence up to [Formula: see text] K. In this paper we propose an alternative explanation by assuming the existence of local pair amplitude and phase at equilibrium for [Formula: see text]. The phase correlation spans only a few lattice constants and we do not assume any pump-induced enhancement of this correlation, either in-plane or between bilayers. Instead, the coherent drive, via a parametric amplification process, induces coherence in the Josephson currents between members of bilayers. When combined with a Floquet framework, the reflectivity data can be explained. The key point is that in the lower Josephson plasmon, the coupling between bilayers is mainly capacitive; the Josephson current between bilayers can be set to zero without strongly affecting the parametric amplification process. Importantly, while superconducting coherence may not be created by the pump, the pseudogap phase must possess a local pairing amplitude at equilibrium. Consequently, these experiments have strong implications for the understanding of the pseudogap phase.
- 10 April 2026
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 136 (14) , 146704
Dirac Node Pinning from Dzyaloshinskii-Moriya Interactions in a Kagome Spin Liquid
Recent experiments on the Kagome spin liquid candidate material YCu_{3}(OH)_{6}Br_{2}[Br_{1-y}(OH)_{y}] suggest the presence of Dirac fermionic spinons near the magnetization plateau at 1/9. Theories suggest that the spinons are charge neutral spin-1/2 excitations, in a 2π/3 flux, which triples the unit cell. Generally a gap is expected, and there is no symmetry protection for the Dirac nodes in this system. The question arises as to what causes the nodes and stabilizes them. In this work, we propose a node-creation and node-pinning mechanism driven by Dzyaloshinskii-Moriya (DM) interactions. Employing Gutzwiller-projected variational Monte Carlo calculations, we demonstrate that DM interactions induce a band closing phase transition in the spinon spectrum. There is a change in the Chern number when the bands are inverted. Together with the DM-generated internal gauge flux, the coupling to the spinon orbital magnetization counteracts the band reopening. This interplay energetically pins the Dirac nodes over a range of parameters, resulting in a pinning mechanism distinct from the usual one from symmetry protection.
- 10 April 2026
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 136 (14) , 146704
Dirac Node Pinning from Dzyaloshinskii-Moriya Interactions in a Kagome Spin Liquid
Recent experiments on the Kagome spin liquid candidate material YCu_{3}(OH)_{6}Br_{2}[Br_{1-y}(OH)_{y}] suggest the presence of Dirac fermionic spinons near the magnetization plateau at 1/9. Theories suggest that the spinons are charge neutral spin-1/2 excitations, in a 2π/3 flux, which triples the unit cell. Generally a gap is expected, and there is no symmetry protection for the Dirac nodes in this system. The question arises as to what causes the nodes and stabilizes them. In this work, we propose a node-creation and node-pinning mechanism driven by Dzyaloshinskii-Moriya (DM) interactions. Employing Gutzwiller-projected variational Monte Carlo calculations, we demonstrate that DM interactions induce a band closing phase transition in the spinon spectrum. There is a change in the Chern number when the bands are inverted. Together with the DM-generated internal gauge flux, the coupling to the spinon orbital magnetization counteracts the band reopening. This interplay energetically pins the Dirac nodes over a range of parameters, resulting in a pinning mechanism distinct from the usual one from symmetry protection.
- 2 March 2026
- Published by American Physical Society (APS) in Physical Review B
- Vol. 113 (10)
Controlled expansion for pairing in a polarized band with strong repulsion
- 2 March 2026
- Published by American Physical Society (APS) in Physical Review B
- Vol. 113 (10)
Controlled expansion for pairing in a polarized band with strong repulsion
- Top Cited PapersOpen Access
- 31 January 2025
- Published by National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 122 (5)
Unconventional magnetic oscillations in a kagome Mott insulator
In metals, electrons in a magnetic field undergo cyclotron motion, leading to oscillations in physical properties called quantum oscillations. This phenomenon has never been seen in a robust insulator because there are no mobile electrons. We report an exception to this rule. We study a Mott insulator on a kagome lattice which does not order magnetically down to milli-Kelvin temperatures despite antiferromagnetic interactions. We observe a plateau at magnetization equal to 1 9 Bohr magneton per magnetic ion, accompanied by oscillations in the magnetic torque, reminiscent of quantum oscillations in metals. The temperature dependence obeys Fermi distribution. These phenomena are consistent with a quantum spin liquid state whose excitations are fermionic spinons with a Dirac-like spectrum coupled to an emergent gauge field.
- 31 January 2025
- Published by National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 122 (5)
Top Cited PapersOpen AccessUnconventional magnetic oscillations in a kagome Mott insulator
In metals, electrons in a magnetic field undergo cyclotron motion, leading to oscillations in physical properties called quantum oscillations. This phenomenon has never been seen in a robust insulator because there are no mobile electrons. We report an exception to this rule. We study a Mott insulator on a kagome lattice which does not order magnetically down to milli-Kelvin temperatures despite antiferromagnetic interactions. We observe a plateau at magnetization equal to 1 9 Bohr magneton per magnetic ion, accompanied by oscillations in the magnetic torque, reminiscent of quantum oscillations in metals. The temperature dependence obeys Fermi distribution. These phenomena are consistent with a quantum spin liquid state whose excitations are fermionic spinons with a Dirac-like spectrum coupled to an emergent gauge field.
- 5 November 2024
- Published by American Physical Society (APS) in Physical Review B
- Vol. 110 (18) , 184504
Self-consistent evaluation of proximity and inverse proximity effects with pair-breaking in diffusive superconducting–normal metal junctions
We consider a planar superconducting--normal metal junction with both inelastic and spin-flip scattering processes present. In the diffusive limit, we use a one-dimensional formulation of the Usadel equation to compute the self-consistent energy dependence of the single-particle density of states as a function of distance from the interface on both the superconducting and metallic sides for various spatial profiles of a pair-breaking spin-flip term. The pair-breaking processes fill in the superconducting gap at zero energy, which is reflected in the zero-bias tunneling conductance in scanning tunneling microscopy/spectroscopy experiments, in the vicinity of the junction. We also investigate the impact of having a partially transparent interface at the junction. We compare our findings with the observed exponential rise in the zero-bias conductance at the 1H step edge in recent experiments on 4Hb-${\mathrm{TaS}}_{2}$ [A. K. Nayak et al., Nat. Phys. 17, 1413 (2021)].
- 5 November 2024
- Published by American Physical Society (APS) in Physical Review B
- Vol. 110 (18) , 184504
Self-consistent evaluation of proximity and inverse proximity effects with pair-breaking in diffusive superconducting–normal metal junctions
We consider a planar superconducting--normal metal junction with both inelastic and spin-flip scattering processes present. In the diffusive limit, we use a one-dimensional formulation of the Usadel equation to compute the self-consistent energy dependence of the single-particle density of states as a function of distance from the interface on both the superconducting and metallic sides for various spatial profiles of a pair-breaking spin-flip term. The pair-breaking processes fill in the superconducting gap at zero energy, which is reflected in the zero-bias tunneling conductance in scanning tunneling microscopy/spectroscopy experiments, in the vicinity of the junction. We also investigate the impact of having a partially transparent interface at the junction. We compare our findings with the observed exponential rise in the zero-bias conductance at the 1H step edge in recent experiments on 4Hb-${\mathrm{TaS}}_{2}$ [A. K. Nayak et al., Nat. Phys. 17, 1413 (2021)].
- 13 September 2024
- Published by American Physical Society (APS) in Physical Review B
- Vol. 110 (12) , L121110
Model of a non-Fermi liquid with power-law resistivity: Strange metal with a not-so-strange origin
We construct a model that exhibits resistivity going as a power law in temperature , as down to the lowest temperature. There is no residual resistivity because we assume the absence of disorder and momentum relaxation is due to umklapp scattering. Our model consists of a quantum spin liquid state with a spinon Fermi surface and a hole Fermi surface made out of doped holes. The key ingredient is a set of singular modes living on a ring in momentum space. Depending on parameters, may be unity (strange metal) or even smaller. The model may be applicable to a doped organic compound, which has been found to exhibit linear resistivity. We conclude that it is possible to obtain strange metal behavior starting with a model that is not so strange.- 13 September 2024
- Published by American Physical Society (APS) in Physical Review B
- Vol. 110 (12) , L121110
Model of a non-Fermi liquid with power-law resistivity: Strange metal with a not-so-strange origin
We construct a model that exhibits resistivity going as a power law in temperature , as down to the lowest temperature. There is no residual resistivity because we assume the absence of disorder and momentum relaxation is due to umklapp scattering. Our model consists of a quantum spin liquid state with a spinon Fermi surface and a hole Fermi surface made out of doped holes. The key ingredient is a set of singular modes living on a ring in momentum space. Depending on parameters, may be unity (strange metal) or even smaller. The model may be applicable to a doped organic compound, which has been found to exhibit linear resistivity. We conclude that it is possible to obtain strange metal behavior starting with a model that is not so strange.- Open Access
- 23 August 2024
- Published by American Association for the Advancement of Science (AAAS) in Science Advances
- Vol. 10 (34) , eado4875
Signatures of a spin-active interface and a locally enhanced Zeeman field in a superconductor-chiral material heterostructure
A localized Zeeman field, intensified at heterostructure interfaces, could play a crucial role in a broad area including spintronics and unconventional superconductors. Conventionally, the generation of a local Zeeman field is achieved through magnetic exchange coupling with a magnetic material. However, magnetic elements often introduce defects, which could weaken or destroy superconductivity. Alternatively, the coupling between a superconductor with strong spin-orbit coupling and a nonmagnetic chiral material could serve as a promising approach to generate a spin-active interface. Here, we leverage an interface superconductor, namely, induced superconductivity in noble metal surface states, to probe the spin-active interface. Our results unveil an enhanced interface Zeeman field, which selectively closes the surface superconducting gap while preserving the bulk superconducting pairing. The chiral material, i.e., trigonal tellurium, also induces Andreev bound states (ABS) exhibiting spin polarization. The field dependence of ABS manifests a substantially enhanced interface Landé g -factor ( g eff ~ 12), thereby corroborating the enhanced interface Zeeman energy.
- 23 August 2024
- Published by American Association for the Advancement of Science (AAAS) in Science Advances
- Vol. 10 (34) , eado4875
Open AccessSignatures of a spin-active interface and a locally enhanced Zeeman field in a superconductor-chiral material heterostructure
A localized Zeeman field, intensified at heterostructure interfaces, could play a crucial role in a broad area including spintronics and unconventional superconductors. Conventionally, the generation of a local Zeeman field is achieved through magnetic exchange coupling with a magnetic material. However, magnetic elements often introduce defects, which could weaken or destroy superconductivity. Alternatively, the coupling between a superconductor with strong spin-orbit coupling and a nonmagnetic chiral material could serve as a promising approach to generate a spin-active interface. Here, we leverage an interface superconductor, namely, induced superconductivity in noble metal surface states, to probe the spin-active interface. Our results unveil an enhanced interface Zeeman field, which selectively closes the surface superconducting gap while preserving the bulk superconducting pairing. The chiral material, i.e., trigonal tellurium, also induces Andreev bound states (ABS) exhibiting spin polarization. The field dependence of ABS manifests a substantially enhanced interface Landé g -factor ( g eff ~ 12), thereby corroborating the enhanced interface Zeeman energy.