Localization in a 
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-Type Model with Translational Symmetry

Sun, Rong-Yang; Zhu, Zheng; Weng, Zheng-Yu

doi:10.1103/physrevlett.123.016601

Cited by 12 publications

(9 citation statements)

References 25 publications

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“…Recent studies [17,18] show that an interacting Wannier-Stark system can exhibit nonergodic behavior analogous to disorder-induced many-body localization (MBL) [19][20][21][22]. Understanding both the differences and similarities between such disorder-free and conventional MBL constitutes a fundamental question, which currently attracts a lot of attention [23][24][25][26][27][28][29][30][31][32][33][34][35][36].…”

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confidence: 99%

Prethermal memory loss in interacting quantum systems coupled to thermal baths

Eckardt

2020

Phys. Rev. B

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We study the relaxation dynamics of an extended Fermi-Hubbard chain with a strong Wannier-Stark potential tilt coupled to a bath. When the system is subjected to dephasing noise, starting from a pure initial state the system's total von Neumann entropy is found to grow monotonously. The scenario becomes rather different when the system is coupled to a thermal bath of finite temperature. Here, for sufficiently large field gradients and initial energies, the entropy peaks in time and almost reaches its largest possible value (corresponding to the maximally mixed state), long before the system relaxes to thermal equilibrium. This entropy peak signals an effective prethermal memory loss and, relative to the time where it occurs, the system is found to exhibit a simple scaling behavior in space and time. By comparing the system's dynamics to that of a simplified model, the underlying mechanism is found to be related to the localization property of the Wannier-Stark system, which favors dissipative coupling between eigenstates that are close in energy.

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confidence: 99%

Prethermal memory loss in interacting quantum systems coupled to thermal baths

Eckardt

2020

Phys. Rev. B

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“…Here the half-filling isotropic spin background in the ladder is already a "spin liquid" without long-range Néel order [10], which would seem to support the resonance valence bond (RVB) idea of Anderson for the SC origin out of a pure repulsive interaction [11,12]. Nevertheless, given the same "RVB" or spin liquid background but with the hopping term modified to remove the phase-string sign structure [13][14][15] in the t-J model, the novel pairing has been found to disappear [8,9] in the resulting σ•t-J ladders [16,17]. Namely, the LE ground state at finite doping will be replaced by a Luttinger-liquid-like state with the exponent very close to that of the free Fermi gas (FG) [3].…”

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confidence: 84%

“…However, the hopping term H t is mapped to the hopping term of the so-called σ•t-J defined by H σ•t = −t ij ,σ σĉ † iσ ĉjσ + h.c. [3]. Consequently the main difference between Γ < 0 and Γ > 0 is precisely that between the t-J and σ•t-J models [8,9], which can be solely attributed to the absence/presence of the phase string sign structure as to be further elaborated below.…”

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confidence: 87%

“…Such a model can be accurately investigated by density matrix renormalization group (DMRG) method [2] in quasi one-dimensional (1D) square lattice cases (i.e., the "ladders"), which does exhibit quasi-1D SC behavior [1,3,4] known as the Luther-Emery (LE) state [7]. As a matter of fact, an intrinsic pairing force has been clearly identified even for two doped holes in the two-and four-leg t-J ladders [8,9]. Here the half-filling isotropic spin background in the ladder is already a "spin liquid" without long-range Néel order [10], which would seem to support the resonance valence bond (RVB) idea of Anderson for the SC origin out of a pure repulsive interaction [11,12].…”

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confidence: 99%

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Complex phase diagram of doped XXZ ladder: Localization and pairing

Sun

Zhu

Weng

2020

Phys. Rev. Research

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How the ground state nature can be dramatically changed by the distinct underlying spin correlation is a central issue of doped Mott insulators. The two-leg XXZ ladder provides a prototypical spin background, which can be tuned from a long-range Néel order to a short-range "spin liquid" via the superexchange anisotropy, giving rise to a complex phase diagram at finite doping. By density matrix renormalization group method, we show that although the charge is always self-localized in the Néel ordered phase, a second insulating phase emerges, in which the doped holes become paired but remain localized while the transverse spin-spin correlation reduces to short-ranged one to make the Néel order classical. Only when the Néel order totally disappears by further reducing anisotropy, does the pairing become truly coherent as characterized by a Luther-Emery state. In sharp contrast, the pairing is totally absent in the in-plane ferromagnetic XXZ regime, where a direct transition from the charge self-localization in the Néel ordered phase to a Fermi-gas-like state in the spin liquid phase is found. A consistent physical picture is briefly discussed.

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“…RMF models have been shown to be suitable for the studies of finite (hyper)nuclei [65][66][67][68][69][70][71][72][73][74][75] as well as baryonic matter [76][77][78][79][80][81][82]. The starting point of the mesonexchange RMF model for baryonic matter is the following covariant Lagrangian density…”

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confidence: 99%

Massive neutron stars and Λ-hypernuclei in relativistic mean field models

et al. 2018

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Based on relativistic mean field (RMF) models, we study finite Λ-hypernuclei and massive neutron stars. The effective N -N interactions PK1 and TM1 are adopted, while the N -Λ interactions are constrained by reproducing the binding energy of Λ-hyperon at 1s orbit of 40 Λ Ca. It is found that the Λ-meson couplings follow a simple relation, indicating a fixed Λ potential well for symmetric nuclear matter at saturation densities, i.e., around VΛ = −29.786 MeV. With those interactions, a large mass range of Λ-hypernuclei can be well described. Furthermore, the masses of PSR J1614-2230 and PSR J0348+0432 can be attained adopting the Λ-meson couplings gσΛ/gσN > ∼ 0.73, gωΛ/gωN > ∼ 0.80 for PK1 and gσΛ/gσN > ∼ 0.81, gωΛ/gωN > ∼ 0.90 for TM1, respectively. This resolves the Hyperon Puzzle without introducing any additional degrees of freedom.

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Localization in a t−J -Type Model with Translational Symmetry

Cited by 12 publications

References 25 publications

Prethermal memory loss in interacting quantum systems coupled to thermal baths

Prethermal memory loss in interacting quantum systems coupled to thermal baths

Complex phase diagram of doped XXZ ladder: Localization and pairing

Massive neutron stars and Λ-hypernuclei in relativistic mean field models

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