Quantum Phase Transition at Nonzero Doping in a Random 
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 Model

Shackleton, Henry; Wietek, Alexander; Georges, Antoine; Sachdev, Subir

doi:10.1103/physrevlett.126.136602

Cited by 20 publications

(22 citation statements)

References 36 publications

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“…[18,19] using bosonic spinons, in which case the spin glass order can be large, with q EA = O(M 0 ) (see (A2)). However, numerical studies of the SU(2) case show that the spin glass order is small [12,13],…”

Section: Discussionmentioning

confidence: 99%

“…Given the numerical estimate q EA ∼ 0.02 [13], the spin liquid behavior of (1.3) is visible over a wide range of frequencies.…”

mentioning

confidence: 87%

“…On the other hand, numerical studies [11][12][13] of the N → ∞ limit of the model (1.1) for SU (2) and spin S = 1/2 show the presence of spin glass order in the ground state (in contrast to the SYK model itself, which does not have spin glass order [14]). However, the recent numerical study of the S = 1/2 SU(2) model argued [13] that the spin spectral density at intermediate frequencies matched that of the SYK spin liquid. Specifically, they observed…”

mentioning

confidence: 97%

“…The generalization of the model (1.1) to SU(M ) spins, and the limits N → ∞ followed by M → ∞, yield a fractionalized spin liquid ground state [6] whose fermionic spinons obey the same equations as the complex Sachdev-Ye-Kitaev (SYK) model [7][8][9][10]. On the other hand, numerical studies [11][12][13] of the N → ∞ limit of the model (1.1) for SU (2) and spin S = 1/2 show the presence of spin glass order in the ground state (in contrast to the SYK model itself, which does not have spin glass order [14]). However, the recent numerical study of the S = 1/2 SU(2) model argued [13] that the spin spectral density at intermediate frequencies matched that of the SYK spin liquid.…”

mentioning

confidence: 99%

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Spin liquid to spin glass crossover in the random quantum Heisenberg magnet

Christos,

Haehl,

Sachdev

2021

Preprint

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We study quantum SU(M ) spins with all-to-all and random Heisenberg exchange interactions of rootmean-square strength J. The M → ∞ model has a spin liquid ground state with the spinons obeying the equations of the Sachdev-Ye-Kitaev (SYK) model. Numerical studies of the SU(2) model with S = 1/2 spins show spin glass order in the ground state, but also display SYK spin liquid behavior in the intermediate frequency spin spectrum. We employ a 1/M expansion to describe the crossover from fractionalized fermionic spinons to a confining spin glass state with weak spin glass order q EA . The SYK spin liquid behavior persists down to a frequency ω * ∼ Jq EA , and for ω < ω * , the spectral density is linear in ω, thus quenching the extensive zero temperature entropy of the spin liquid. The linear ω spectrum is qualitatively similar to that obtained earlier using bosonic spinons for large q EA . We argue that the extensive SYK spin liquid entropy is transformed as T → 0 to an extensive complexity of the spin glass state.

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Section: Discussionmentioning

confidence: 99%

“…Given the numerical estimate q EA ∼ 0.02 [13], the spin liquid behavior of (1.3) is visible over a wide range of frequencies.…”

mentioning

confidence: 87%

mentioning

confidence: 97%

mentioning

confidence: 99%

See 2 more Smart Citations

Spin liquid to spin glass crossover in the random quantum Heisenberg magnet

Christos,

Haehl,

Sachdev

2021

Preprint

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“…On the other hand, at finite temperatures, the above method should be hard to treat both excitations with distinct energy scales. Thus, we use the TPQ state method [30,31], where local quantities are efficiently evaluated without the trace calculations [36][37][38][39][40][41][42]. An important point is that this numerical method takes several energy scales into account on equal footing, and thereby has been successfully used in several systems such as the Heisenberg model on frustrated lattices [30][31][32][43][44][45][46] and the Kitaev models [47][48][49][50][51][52][53].…”

Section: Model and Methodsmentioning

confidence: 99%

Thermally enhanced Majorana-mediated spin transport in the Kitaev model

Taguchi,

Murakami,

Koga

2022

Preprint

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We study how stable the Majorana-mediated spin transport in a quantum spin Kitaev model is against thermal fluctuations. Using the time-dependent thermal pure quantum state method, we examine finite-temperature spin dynamics in the Kitaev model. The model exhibits two characteristic temperatures TL and TH , which correspond to energy scales of the local flux and the itinerant Majorana fermion, respectively. At low temperatures (T TL), an almost flux-free state is realized and the spin excitation propagates in a similar way to that for the ground state. Namely, after the magnetic pulse is introduced at one of the edges, the itinerant Majorana fermions propagate the spin excitations even through the quantum spin liquid state region, and oscillations in the spin moment appear in the other edge with a tiny magnetic field. When T ∼ TL, larger oscillations in the spin moments are induced in the other edge, compared to the results at the ground state. At higher temperatures, excited Z2 fluxes disturb the coherent motion of the itinerant Majorana fermions, which suppresses the spin propagation. Our results demonstrate a crucial role of thermal fluctuations in the Majorana-mediated spin transport.

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A model of randomly-coupled Pauli spins

Hanada,

Jevicki,

Liu

et al. 2024

J. High Energ. Phys.

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We construct a model of Pauli spin operators with all-to-all 4-local interactions by replacing Majorana fermions in the SYK model with spin operators. Equivalently, we replace fermions with hard-core bosons. We study this model numerically and compare the properties with those of the SYK model. We observe a striking quantitative coincidence between the spin model and the SYK model, which suggests that this spin model is strongly chaotic and, perhaps, can play some role in holography. We also discuss the path-integral approach with multi-local fields and the possibility of quantum simulations. This model may be an interesting target for quantum simulations because Pauli spins are easier to implement than fermions on qubit-based quantum devices.

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Quantum Phase Transition at Nonzero Doping in a Random t−J Model

Cited by 20 publications

References 36 publications

Spin liquid to spin glass crossover in the random quantum Heisenberg magnet

Spin liquid to spin glass crossover in the random quantum Heisenberg magnet

Thermally enhanced Majorana-mediated spin transport in the Kitaev model

A model of randomly-coupled Pauli spins

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