Proof of a stable fixed point for strongly correlated electron matter

Zhao, Jinchao; La Nave, Gabriele; Phillips, Philip W.

doi:10.1103/physrevb.108.165135

Phys. Rev. B

2023

DOI: 10.1103/physrevb.108.165135

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Proof of a stable fixed point for strongly correlated electron matter

Jinchao Zhao,

Gabriele La Nave,

Philip W. Phillips

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Cited by 5 publications

References 25 publications

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1/4 is the new 1/2 when topology is intertwined with Mottness

Mai,

Zhao,

Feldman

et al. 2023

Nat Commun

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In non-interacting systems, bands from non-trivial topology emerge strictly at half-filling and exhibit either the quantum anomalous Hall or spin Hall effects. Here we show using determinantal quantum Monte Carlo and an exactly solvable strongly interacting model that these topological states now shift to quarter filling. A topological Mott insulator is the underlying cause. The peak in the spin susceptibility is consistent with a possible ferromagnetic state at T = 0. The onset of such magnetism would convert the quantum spin Hall to a quantum anomalous Hall effect. While such a symmetry-broken phase typically is accompanied by a gap, we find that the interaction strength must exceed a critical value for this to occur. Hence, we predict that topology can obtain in a gapless phase but only in the presence of interactions in dispersive bands. These results explain the recent quarter-filled quantum anomalous Hall effects seen in moiré systems.

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1/4 is the new 1/2 when topology is intertwined with Mottness

Mai,

Zhao,

Feldman

et al. 2023

Nat Commun

Self Cite

View full text Add to dashboard Cite

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Friedel oscillation in non-Fermi liquid: lesson from exactly solvable Hatsugai–Kohmoto model

Zhao,

Yang,

Luo

et al. 2023

J. Phys.: Condens. Matter

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When non-magnetic impurity immerses in Fermi sea, a regular modulation of charge density around impurity will appear and such phenomena is called Friedel oscillation (FO). Although both Luttinger liquid and Landau Fermi liquid show such characteristic oscillation, FO in generic non-Fermi liquid (NFL) phase is still largely unknown. Here, we show that FO indeed exists in NFL state of an exactly solvable model, i.e. the Hatsugai–Kohmoto model which has been intensively explored in recent years. Combining T-matrix approximation and linear-response-theory, an interesting picture emerges, if two interaction-induced quasi-particles bands in NFL are partially occupied, FO in this situation is determined by a novel structure in momentum space, i.e. the ‘average Fermi surface’ (average over two quasi-particle Fermi surface), which highlights the inter-band particle-hole excitation. We hope our study here provides a counterintuitive example in which FO with Fermi surface coexists with NFL quasi-particle, and it may be useful to detect hidden ‘average Fermi surface’ structure in other correlated electron systems.

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Ground state stability, symmetry, and degeneracy in Mott insulators with long-range interactions

Manning-Coe,

Bradlyn

2023

Phys. Rev. B

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Proof of a stable fixed point for strongly correlated electron matter

Cited by 5 publications

References 25 publications

1/4 is the new 1/2 when topology is intertwined with Mottness

1/4 is the new 1/2 when topology is intertwined with Mottness

Friedel oscillation in non-Fermi liquid: lesson from exactly solvable Hatsugai–Kohmoto model

Ground state stability, symmetry, and degeneracy in Mott insulators with long-range interactions

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