Magnetization jump in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>XXZ</mml:mi></mml:math>chain with next-nearest-neighbor exchange

Aligia, A. A.

doi:10.1103/physrevb.63.014402

Cited by 19 publications

(27 citation statements)

References 19 publications

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“…3) that q min is indeed the beginning of an instability that leads to a macroscopic discontinuity in the magnetization. This is consistent with previous work, 17,22 where bound states of such magnons have been found to be the cause of metamagnetism in spin chains, though previously the attractive interactions were directly related to geometric frustration (which is not present in the J-Q chain; the Q term competes in a different way against AFM order).…”

Section: A Origin Of the Magnetization Jumpsupporting

confidence: 93%

“…(11) becomes the simplest example of a frustrated spin model; this case has been well studied. [17][18][19][22][23][24][28][29][30][47][48][49] Several papers have presented evidence of metamagnetism in the J 1 -J 2 chain in this regime for both the isotropic 18,21-24 and anisotropic 17,19,20,24 cases. Naively, a FM secondneighbor term is trivial since it does not produce frustration; with an AFM first-neighbor coupling it would serve to strengthen the AFM order.…”

Section: Metamagnetism In the J1-j2 Chainmentioning

confidence: 99%

“…At exactly q min , the magnons behave as effectively non-interacting particles. The onset of a bound state of magnons is a general mechanism for metamagnetism, 17,18 but normally this phenomenon has been associated with frustration due to competing exchange couplings [17][18][19][20][21][22][23][24] or strong spin anisotropy 17,19,20 [including the classical two-dimensional (2D) Ising model with second-neighbor interactions 25,26 ]. We believe this effect could also explain the metamagnetic transition reported in a ring exchange model, 27 (a close relative of the J-Q model), where the metamagnetic transition corresponds to a first-order transition from a partially occupied to a fully occupied state.…”

Section: Introductionmentioning

confidence: 99%

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Field-driven quantum phase transitions in S=12 spin chains

2017

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We study the magnetization process of a one-dimensional extended Heisenberg model-the J-Q model-as a function of an external magnetic field, h. In this model, J represents the traditional antiferromagnetic Heisenberg exchange and Q is the strength of a competing four-spin interaction. Without external field, this system hosts a two-fold degenerate dimerized (valence-bond solid) state above a critical value qc ≈ 0.85 where q ≡ Q/J. The dimer order is destroyed and replaced by a partially polarized translationally invariant state at a critical field value. We find magnetization jumps (metamagnetism) between the partially polarized and fully polarized state for q > qmin, where we have calculated qmin = 2/9 exactly. For q > qmin two magnons (flipped spins on a fully polarized background) attract and form a bound state. Quantum Monte Carlo studies confirm that the bound state corresponds to the first step of an instability leading to a finite magnetization jump for q > qmin. Our results show that neither geometric frustration nor spin-anisotropy are necessary conditions for metamagnetism. Working in the two-magnon subspace, we also find evidence pointing to the existence of metamagnetism in the unfrustrated J1-J2 chain (J1 > 0, J2 < 0), but only if J2 is spin-anisotropic. In addition to the studies at zero temperature, we also investigate quantumcritical scaling near the transition into the fully polarized state for q ≤ qmin at T > 0. While the expected "zero-scale-factor" universality is clearly seen for q = 0 and q qmin, for q closer to qmin we find that extremely low temperatures are required to observe the asymptotic behavior, due to the influence of the tricritical point at qmin. In the low-energy theory, one can expect the quartic nonlinearity to vanish at qmin and a marginal sixth-order term should govern the scaling, which leads to a cross-over at a temperature T * (q) between logarithmic tricritical scaling and zero-scale-factor universality, with T * (q) → 0 when q → qmin.

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Section: A Origin Of the Magnetization Jumpsupporting

confidence: 93%

Section: Metamagnetism In the J1-j2 Chainmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Field-driven quantum phase transitions in S=12 spin chains

2017

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“…At every size we find the same behavior: roughly linear response until m ≈ 1/6 followed by a sharp jump to the fully polarized state. This resembles the so-called metamagnetic transition demonstrated in the anisotropic J 1 -J 2 chain [11][12][13][14]. In Fig.…”

Section: Resultssupporting

confidence: 65%

1D valence bond solids in a magnetic field

Iaizzi

Sandvik

2015

J. Phys.: Conf. Ser.

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A Valence bond solid (VBS) is a nonmagnetic, long-range ordered state of a quantum spin system where local spin singlets are formed in some regular pattern. We here study the competition between VBS order and a fully polarized ferromagnetic state as function of an external magnetic field in a one-dimensional extended Heisenberg model-the J-Q2 modelusing stochastic series expansion (SSE) quantum Monte Carlo simulations with directed loop updates. We discuss the ground state phase diagram.

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“…One is the magnetization plateau, which usually accompanies with the spin excitation gap and has been found in many systems, such as the frustrated spin systems [3,4], and quasi-periodic systems with nontrivial topological property [5,6]. The other is the magnetization jump, which exhibits discontinuity in the magnetization density.The magnetization jump was first proposed by Néel [7] in the system with the Ising-like anisotropic exchange interaction, and then also investigated in various of lattice spin systems in different dimensions [8][9][10][11][12][13][14][15][16][17][18][19]. Most of these model systems involve anisotropy or frustration.…”

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confidence: 99%

Magnetization jump in one dimensional J − Q 2 model with anisotropic exchange

Mao

Cheng

Chen

et al. 2017

Sci Rep

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We investigate the adiabatic magnetization process of the one-dimensional J − Q 2 model with XXZ anisotropy g in an external magnetic field h by using density matrix renormalization group (DMRG) method. According to the characteristic of the magnetization curves, we draw a magnetization phase diagram consisting of four phases. For a fixed nonzero pair coupling Q, (i) when g < −1, the ground state is always ferromagnetic in spite of h; (ii) when g > −1 but still small, the whole magnetization curve is continuous and smooth; (iii) if further increasing g, there is a macroscopic magnetization jump from partially- to fully-polarized state; (iv) for a sufficiently large g, the magnetization jump is from non- to fully-polarized state. By examining the energy per magnon and the correlation function, we find that the origin of the magnetization jump is the condensation of magnons and the formation of magnetic domains. We also demonstrate that while the experienced states are Heisenberg-like without long-range order, all the jumped-over states have antiferromagnetic or Néel long-range orders, or their mixing.

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Magnetization jump in theXXZchain with next-nearest-neighbor exchange

Cited by 19 publications

References 19 publications

Field-driven quantum phase transitions in S=12 spin chains

Field-driven quantum phase transitions in S=12 spin chains

1D valence bond solids in a magnetic field

Magnetization jump in one dimensional J − Q 2 model with anisotropic exchange

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