Nature of phase transitions in the striped phase of a triangular-lattice Ising antiferromagnet

Korshunov, S. E.

doi:10.1103/physrevb.72.144417

Cited by 37 publications

(59 citation statements)

References 63 publications

(103 reference statements)

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“…In Fig. 1 we have ignored J 4 interactions, since this acts against the J 5 -induced splitting of the transition by reducing the temperature of the first-order line 14 . Similar reasoning can be extended to further-neighbour couplings and for a set of interactions that decrease smoothly with distance we expect that a single first-order transition is typical.…”

Section: Figmentioning

confidence: 99%

“…[14] to find the exact temperature, T ddw , at which double domain walls appear. For T < T ddw it is no longer possible to solve the weight equations without including backtracking, and we choose to minimise the backtracking term.…”

Section: Figmentioning

confidence: 99%

“…This results in the prediction that the broken Z 2 ×Z 3 symmetry of the low-temperature stripe state 14,16,17 can be restored either in a single firstorder transition, or via a pair of transitions, where the low-temperature, Z 2 -restoring transition is second order and the higher-temperature, Z 3 -restoring transition is * deceased…”

mentioning

confidence: 99%

“…first order 14 . When the transition is split, an intermediate phase of nematic type is revealed, and it is characterised by a set of fluctuating double domain walls 14 (ddw).…”

mentioning

confidence: 99%

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Topological Aspects of Symmetry Breaking in Triangular-Lattice Ising Antiferromagnets

2016

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Using a specially designed Monte Carlo algorithm with directed loops, we investigate the triangular lattice Ising antiferromagnet with coupling beyond nearest neighbour. We show that the first-order transition from the stripe state to the paramagnet can be split, giving rise to an intermediate nematic phase in which algebraic correlations coexist with a broken symmetry. Furthermore, we demonstrate the emergence of several properties of a more topological nature such as fractional edge excitations in the stripe state, the proliferation of double domain walls in the nematic phase, and the Kasteleyn transition between them. Experimental implications are briefly discussed.The triangular-lattice Ising antiferromagnet (TLIAF) is the archetypal model of frustration. Ground states of the nearest-neighbour (n.n.) model obey the local constraint that triangles cannot host three equivalent Ising spins, and it follows that there is an extensive entropy 1,2 . This results in a critical state, characterised by algebraic correlations between the spins 3,4 .In reality, interactions are rarely limited to n.n., and a more realistic Hamiltonian takes the form,where σ i = ±1 and J ij > 0. This model is experimentally relevant in a diverse range of systems, including artificial dipolar magnets 5 , materials such as Ba 3 CuSb 2 O 9 where electrically charged dumbbells act as Ising degrees of freedom 6,7 , trapped ions 8,9 , frustrated Coulomb liquids 10 , Josephson junction arrays 11 and absorbed monolayers 12 .In spite of its ubiquity, this model has received limited attention. The difficulty in analysing H Is [Eq. 1] arises from the critical nature of the n.n. ground-state manifold, which is very sensitive to perturbation, and in the presence of further-neighbour coupling the model is not amenable to an analytic solution. Besides, in the limit J 1 → ∞ as compared to the other characteristic energy scales of the problem (J 2 , J 3 , etc.), Monte Carlo (MC) simulations based on the Metropolis algorithm are unable to reach the ground state, and the problem of freezing remains even when this constraint is relaxed, for example in the case of dipolar interactions 13 .The current understanding of the properties of H Is is based on estimates of the energy and entropy of different types of extended defects. This results in the prediction that the broken Z 2 ×Z 3 symmetry of the low-temperature stripe state 14,16,17 can be restored either in a single firstorder transition, or via a pair of transitions, where the low-temperature, Z 2 -restoring transition is second order and the higher-temperature, Z 3 -restoring transition is * deceased FIG. 1:Representative phase diagrams of the TLIAF with J 1 → ∞, determined by MC simulation. All phase boundaries were determined from the winding number. first order 14 . When the transition is split, an intermediate phase of nematic type is revealed, and it is characterised by a set of fluctuating double domain walls 14 (ddw).In this letter, we show that the difficulty in simulating the TLIAF with MC arises...

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Section: Figmentioning

confidence: 99%

Section: Figmentioning

confidence: 99%

mentioning

confidence: 99%

“…first order 14 . When the transition is split, an intermediate phase of nematic type is revealed, and it is characterised by a set of fluctuating double domain walls 14 (ddw).…”

mentioning

confidence: 99%

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Topological Aspects of Symmetry Breaking in Triangular-Lattice Ising Antiferromagnets

2016

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“…In the framework of GTB [32] one can expand ψ g (r) using the Wannier orbitals, ψ g (r) = N −1/2 m w(r − m) exp(ig · m), and calculate the dipole matrix element in Eq. (1) as…”

Section: Arpes Of Impurity-band Tailsmentioning

confidence: 99%

Angle-resolved photoemission spectroscopy of band tails and anomalous kinetics of underdoped cuprates

Alexandrov

2008

Journal of Physics and Chemistry of Solids

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ARPES Autocorrelation in Electron-Doped Cuprate Superconductors

Tan

Mou

Liu

et al. 2019

J Supercond Nov Magn

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The angle-resolved photoemission spectroscopy (ARPES) autocorrelation in the electron-doped cuprate superconductors is studied based on the kinetic-energy driven superconducting (SC) mechanism. It is shown that the strong electron correlation induces the electron Fermi surface (EFS) reconstruction, where the most of the quasiparticles locate at around the hot spots on EFS, and then these hot spots connected by the scattering wave vectors q i construct an octet scattering model. In a striking analogy to the hole-doped case, the sharp ARPES autocorrelation peaks are directly correlated with the scattering wave vectors qi, and are weakly dispersive in momentum space. However, in a clear contrast to the hole-doped counterparts, the position of the ARPES autocorrelation peaks move toward to the opposite direction with the increase of doping. The theory also indicates that there is an intrinsic connection between the ARPES autocorrelation and quasiparticle scattering interference (QSI) in the electron-doped cuprate superconductors.

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Nature of phase transitions in the striped phase of a triangular-lattice Ising antiferromagnet

Cited by 37 publications

References 63 publications

Topological Aspects of Symmetry Breaking in Triangular-Lattice Ising Antiferromagnets

Topological Aspects of Symmetry Breaking in Triangular-Lattice Ising Antiferromagnets

Angle-resolved photoemission spectroscopy of band tails and anomalous kinetics of underdoped cuprates

ARPES Autocorrelation in Electron-Doped Cuprate Superconductors

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