Frustration of antiferromagnetism in the <i>t</i>‐<i>t</i>′‐Hubbard model at weak coupling

Hofstetter, Walter; Vollhardt, D.

doi:10.1002/andp.19985100105

Cited by 13 publications

(3 citation statements)

References 24 publications

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“…The properties of this model are of both fundamental and practical interest, in particular, since its quantum Heisenberg counterpart is relevant to the antiferromagnetism in the parent compounds of the cuprate and pnictide families of high-temperature superconductors [1][2][3]. Indeed, recent state-of-the-art numerical calculations [4][5][6][7][8][9][10][11][12][13][14] confirm earlier findings [15][16][17][18][19][20][21][22] that diagonal interactions are important in describing the available experimental data for these compounds. Magnetic frustration due to the J 2 coupling leads to the quasi-degeneracy of the ground state [6,19,20] and possibly to a qunatum spin liquid state at J 2 close to |J 1 |/2 [23,24].…”

Section: Introductionsupporting

confidence: 68%

Report on scipost_202401_00010v1

Yang

2024

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Section: Introductionsupporting

confidence: 68%

Report on scipost_202401_00010v1

Yang

2024

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“…The critical value of U/t found with the latter method is smaller than that in CDMFT. Note finally that it has been found earlier in different contexts that depending on frustration t /t, AFM transitions can be of first or second order [83][84][85].…”

Section: Additional Comparisons With Earlier Resultsmentioning

confidence: 65%

Superconducting dome in doped quasi-two-dimensional organic Mott insulators: A paradigm for strongly correlated superconductivity

2015

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Layered organic superconductors of the BEDT family are model systems for understanding the interplay of the Mott transition with superconductivity, magnetic order and frustration, ingredients that are essential to understand superconductivity also in the cuprate high-temperature superconductors. Recent experimental studies on a hole-doped version of the organic compounds reveals an enhancement of superconductivity and a rapid crossover between two different conducting phases above the superconducting dome. One of these phases is a Fermi liquid, the other not. Using plaquette cellular dynamical mean field theory with state of the art continuoustime quantum Monte Carlo calculations, we study this problem with the two-dimensional Hubbard model on the anisotropic triangular lattice. Phase diagrams as a function of temperature T and interaction strength U/t are obtained for anisotropy parameters t = 0.4t, t = 0.8t and for various fillings. As in the case of the cuprates, we find, at finite doping, a first-order transition between two normal-state phases. One of theses phases has a pseudogap while the other does not. At temperatures above the critical point of the first-order transition, there is a Widom line where crossovers occur. The maximum (optimal) superconducting critical temperature T m c at finite doping is enhanced by about 25% compared with its maximum at half-filling and the range of U/t where superconductivity appears is greatly extended. These results are in broad agreement with experiment. Also, increasing frustration (larger t /t) significantly reduces magnetic ordering, as expected. This suggests that for compounds with intermediate to high frustration, very light-doping should reveal the influence of the first-order transition and associated crossovers. These crossovers could possibly be even visible in the superconducting phase through subtle signatures. We also predict that destroying the superconducting phase by a magnetic field should reveal the first-order transition between metal and pseudogap. Finally, we predict that electron-doping should also lead to an increased range of U/t for superconductivity but with a reduced maximum Tc. This work also clearly shows that the superconducting dome in organic superconductors is tied to the Mott transition and its continuation as a transition separating pseudogap phase from correlated metal in doped compounds, as in the cuprates. Contrary to heavy fermions for example, the maximum Tc is definitely not attached to an antiferromagnetic quantum critical point. That can also be verified experimentally.

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“…In the fermionic Hubbard model -a successful, simple description of correlated fermions in solid-state materials -the lattice structure is known to significantly influence the system's equilibrium phases. The presence of triangles in the underlying lattice, for example, causes frustration, which prevents regular antiferromagnetic ordering [1,2,3] and induces the formation of exotic phases of matter such as a spin-liquid [4,5].…”

Section: Introductionmentioning

confidence: 99%

Lieb's Theorem and Maximum Entropy Condensates

Tindall

Schlawin

Sentef

et al. 2021

Quantum

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Coherent driving has established itself as a powerful tool for guiding a many-body quantum system into a desirable, coherent non-equilibrium state. A thermodynamically large system will, however, almost always saturate to a featureless infinite temperature state under continuous driving and so the optical manipulation of many-body systems is considered feasible only if a transient, prethermal regime exists, where heating is suppressed. Here we show that, counterintuitively, in a broad class of lattices Floquet heating can actually be an advantageous effect. Specifically, we prove that the maximum entropy steady states which form upon driving the ground state of the Hubbard model on unbalanced bi-partite lattices possess uniform off-diagonal long-range order which remains finite even in the thermodynamic limit. This creation of a `hot' condensate can occur on any driven unbalanced lattice and provides an understanding of how heating can, at the macroscopic level, expose and alter the order in a quantum system. We discuss implications for recent experiments observing emergent superconductivity in photoexcited materials.

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Frustration of antiferromagnetism in the t‐t′‐Hubbard model at weak coupling

Cited by 13 publications

References 24 publications

Report on scipost_202401_00010v1

Report on scipost_202401_00010v1

Superconducting dome in doped quasi-two-dimensional organic Mott insulators: A paradigm for strongly correlated superconductivity

Lieb's Theorem and Maximum Entropy Condensates

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