Spin-wave thermodynamics of square-lattice antiferromagnets revisited

Yamamoto, Shoji; Noriki, Yusaku

doi:10.1103/physrevb.99.094412

Cited by 20 publications

(21 citation statements)

References 65 publications

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“…6(a) we find that the specific heat is well converged at D max = 2000. At low temperature, we observe a behavior C ∝ T 2 , which is expected for an antiferromagnetic insulator from spinwave theory [83][84][85]. The thermodynamics at half filling closely resembles the thermodynamics of the square lattice Heisenberg model [86][87][88][89].…”

Section: Thermodynamicssupporting

confidence: 60%

Stripes, Antiferromagnetism, and the Pseudogap in the Doped Hubbard Model at Finite Temperature

Wietek,

He,

White

et al. 2020

Preprint

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The interplay between thermal and quantum fluctuations controls the competition between phases of matter in strongly correlated electron systems. We study finite-temperature properties of the strongly coupled two-dimensional doped Hubbard model using the minimally-entangled typical thermal states (METTS) method on width 4 cylinders. We discover that a novel phase characterized by commensurate short-range antiferromagnetic correlations and no charge ordering occurs at temperatures above the half-filled stripe phase extending to zero temperature. The transition from the antiferromagnetic phase to the stripe phase takes place at temperature T /t ≈ 0.05 and is accompanied by a step-like feature of the specific heat. We find the single-particle gap to be smallest close to the nodal point at k = (π/2, π/2) and detect a maximum in the magnetic susceptibility. These features bear a strong resemblance to the pseudogap phase of high-temperature cuprate superconductors. The simulations are verified using a variety of different unbiased numerical methods in the three limiting cases of zero temperature, small lattice sizes, and half-filling.

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Section: Thermodynamicssupporting

confidence: 60%

Stripes, Antiferromagnetism, and the Pseudogap in the Doped Hubbard Model at Finite Temperature

Wietek,

He,

White

et al. 2020

Preprint

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“…χ(T ) evolves continuously with doping from the antiferromagnetic parent state. For a S = 1 2 2D Heisenberg model, as appropriate to a system such as La 2 CuO 4 , χ is predicted to have a maximum at k B T max ≈ J [178]. The maximum occurs when the spin-spin correlation length reaches ∼ 2.5a [179], and χ decreases as the AF correlation length grows further.…”

Section: Temperature Dependencementioning

confidence: 99%

Cuprate superconductors as viewed through a striped lens

Tranquada

2021

Preprint

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Understanding the electron pairing in hole-doped cuprate superconductors has been a challenge, in particular because the "normal" state from which it evolves is unprecedented. Now, after three and a half decades of research, involving a wide range of experimental characterizations, it is possible to delineate a clear and consistent cuprate story. It starts with doping holes into a charge-transfer insulator, resulting in in-gap states. These states exhibit a pseudogap resulting from the competition between antiferromagnetic superexchange J between nearest-neighbor Cu atoms (a real-space interaction) and the kinetic energy of the doped holes, which, in the absence of interactions, would lead to extended Bloch-wave states whose occupancy is characterized in reciprocal space. To develop some degree of coherence on cooling, the spin and charge correlations must self-organize in a cooperative fashion. A specific example of resulting emergent order is that of spin and charge stripes, as observed in La2−xBaxCuO4. While stripe order frustrates bulk superconductivity, it nevertheless develops pairing and superconducting order of an unusual character. The antiphase order of the spin stripes decouples them from the charge stripes, which can be viewed as hole-doped, two-leg, spin-1 2 ladders. Established theory tells us that the pairing scale is comparable to the singlet-triplet excitation energy, ∼ J/2, on the ladders. To achieve superconducting order, the pair correlations in neighboring ladders must develop phase order. In the presence of spin stripe order, antiphase Josephson coupling can lead to pair-density-wave superconductivity. Alternatively, in-phase superconductivity requires that the spin stripes have an energy gap, which empirically limits the coherent superconducting gap. Hence, superconducting order in the cuprates involves a compromise between the pairing scale, which is maximized at x ∼ 1 8 , and phase coherence, which is optimized at x ∼ 0.2. To understand further experimental details, it is necessary to take account of the local variation in hole density resulting from dopant disorder and poor screening of long-range Coulomb interactions. At large hole doping, kinetic energy wins out over J, the regions of intertwined spin and charge correlations become sparse, and the superconductivity disappears. While there are a few experimental mysteries that remain to be resolved, I believe that this story captures the essence of the cuprates.

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“…Series expansion with longer series [11] finds a 9.4% anomaly considerably larger than the third-order spin-wave theory (SWT) prediction [6]. The modified-SWT [12] by including higher-order spin exchange couplings shows the raising of energy at (π, 0) with respect to that at (π/2, π/2). Meanwhile, the dynamical structure factors along a path of highly symmetric points in Brillouin zone were calculated both by the density matrix renormalization group (DMRG) [13] and by quantum Monte Carlo (QMC) [14].…”

mentioning

confidence: 84%

Gapless and Massive 1D Singlet Dispersion Channel in Infinite Spin-1/2 Ladders ---Infinite Quasi-1D Entanglement Perturbation Theory for Excitation

Wang,

Parvej,

Yang

et al. 2020

Preprint

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We solve for the elementary excitation in infinite quasi-1D quantum lattices by extending the recently developed infinite quasi-1D entanglement perturbation theory. The wave function of an excited state is variationally determined by optimizing superposition of cluster operation, each of which is composed of simultaneous on-site operation inside a block of lattice sites, on the ground state in a form of plane wave. The excitation energy with respect to the wave number gives the spectra for an elementary excitation. Our method is artificial broadening free and is adaptive for various quasiparticle pictures. Using the triplet spectrum, the application to ∞-by-N antiferromagnetic spin-1 2 ladders for N = 2, 4, 6, 8, and 10 confirms a previous report that there is a quantum dimensional transition, namely, the lattice transits from quasi-1D to 2D at a finite critical value Nc = 10. The massless triplet dispersion at (π, π) sees a vanishing gap. Our results detect the anomaly at (π, 0) in the triplet spectrum, agreeing well with the inelastic neutron scattering measurement of a macroscopic sample. Surprisingly, our results also reveal a gapless and massive 1D singlet dispersion channel that is much lower than the triplet excitation. We note, however, the dimensional transition is determined by the massless triplet dispersion.

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Spin-wave thermodynamics of square-lattice antiferromagnets revisited

Cited by 20 publications

References 65 publications

Stripes, Antiferromagnetism, and the Pseudogap in the Doped Hubbard Model at Finite Temperature

Stripes, Antiferromagnetism, and the Pseudogap in the Doped Hubbard Model at Finite Temperature

Cuprate superconductors as viewed through a striped lens

Gapless and Massive 1D Singlet Dispersion Channel in Infinite Spin-1/2 Ladders ---Infinite Quasi-1D Entanglement Perturbation Theory for Excitation

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