Electronic reconstruction at a buried ionic-covalent interface driven by surface reactions

Lou, Changshuan; Li, H. D.; Chung, Jen-Yang; Lin, Deng-Sung; Chiang, T.‐C.

doi:10.1103/physrevb.80.195311

Cited by 6 publications

(12 citation statements)

References 24 publications

(22 reference statements)

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“…5, we see that W 3 appears to saturate to a scale-independent constant at large L as the transition is approached from the Néel phase, before growing with size as one moves into a columnar VBS state. This near-marginal behaviour of the anisotropy in P (E Ψ ) at the largest scales accessible to our simulations is very different from the U (1) symmetric probability distribution of E Ψ seen near the square lattice critical point [18,19]. A more refined scaling analysis [41] yields the same result, leading us to our earlier suggestion that three-fold monopole insertions are (very close to) marginal at the NCCP 1 critical point-this is consistent with recent parallel work that discusses relevance of q-fold monopoles in SU(N ) spin models [44,45].…”

Section: Pacs Numberscontrasting

confidence: 79%

“…In addition, we find evidence for apparently logarithmic violations of finite-temperature scaling of the uniform spin susceptibility χ u and stiffness ρ s , analogous to the square-lattice case [17]. However, in sharp contrast to the square-lattice transition at which the four-fold anisotropy vanishes for large systems [18][19][20], a careful study of the three-fold anisotropy in the phase of Ψ reveals surprising nearmarginal behaviour on the honeycomb lattice. The honeycomb lattice has a two-site basis (labeled A and B) and elementary Bravais lattice trans-lationsê1 andê2, with distances from origin specified in units ofê1 andê2.…”

Section: Pacs Numbersmentioning

confidence: 62%

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Néel-State to Valence-Bond-Solid Transition on the Honeycomb Lattice: Evidence for Deconfined Criticality

2013

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We study a spin-1/2 SU (2) model on the honeycomb lattice with nearest-neighbor antiferromagnetic exchange J that favors Néel order, and competing 6-spin interactions Q which favor a valence bond solid (VBS) state in which the bond-energies order at the "columnar" wavevector K = (2π/3, −2π/3). We present quantum Monte-Carlo evidence for a direct continuous quantum phase transition between Néel and VBS states, with exponents and logarithmic violations of scaling consistent with those at analogous deconfined critical points on the square lattice. Although this strongly suggests a description in terms of deconfined criticality, the measured three-fold anisotropy of the phase of the VBS order parameter shows unusual near-marginal behaviour at the critical point. PACS numbers:Many interesting materials at low temperature appear to be on the verge of a quantum phase transition involving a qualitative change in the nature of the ground state [1]. When one of the two competing T = 0 phases spontaneously breaks a symmetry, the transition can be studied using a path integral representation with a Landau-Ginzburg action [2] written in terms of the order parameter that characterizes the broken symmetry phase [1]. If phases on two sides of the critical point break different symmetries, Landau-Ginzburg theory generically predicts a direct first-order transition or a two-step transition with an intermediate phase. However, this path integral description in terms of orderparameter variables can sometimes involve Berry phases in a non-trivial way [3][4][5]. The presence of Berry phases, which correspond to complex Boltzmann weights for the corresponding classical statistical mechanics problem in one higher dimension [1], can invalidate the conclusions reached by the Landau-Ginzburg approach.In some of these cases, it is useful[6] to think in terms of topological defects in one of the ordered states, and view the competing ordered state as being the result of the condensation of these topological defects -this description[6] makes sense only if the quantum numbers carried by defects in one phase match those of the order parameter variable in the other phase. Under certain conditions, this alternate "non-Landau" description generically predicts a direct continuous transition [7,8] between the two ordered states, in contrast to predictions of classical Landau-Ginzburg theory. Square lattice S = 1/2 antiferromagnets undergoing a transition from a ground state with non-zero Néel order parameter M s to a valence-bond solid (VBS) ordered state, in which the "bond-energies" (singlet projectors) P ij ≡ 1 4 − S i · S j on nearest-neighbour bonds ij in thex (ŷ) direction develop long-range order at the "columnar" wavevectors K 1 = (π, 0) (K 2 = (0, π)), provide the best-studied example of such "deconfined critical points" [7,8]. In this case, Z 4 vortices in the complex VBS order parameter Ψ carry a net spin S = 1/2 in their core, suggesting that the onset of Néel order can be studied using a CP 1 description of M s : M s = z * α σ αβ z β ...

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Section: Pacs Numberscontrasting

confidence: 79%

Section: Pacs Numbersmentioning

confidence: 62%

Néel-State to Valence-Bond-Solid Transition on the Honeycomb Lattice: Evidence for Deconfined Criticality

2013

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“…[4][5][6][7] A scanning tunneling microscopy (STM) measurement suggests that the growth of NaCl begins with a carpetlike double layer of NaCl film. 5 In an electron energy-loss scattering (EELS) measurement, Zielasek, Hildebrandt, and Henzler found electronic states at the NaCl/Ge interface and suggested that the dimerization of the Ge(100) surface is not eliminated at the NaCl/interfaceeven if the thickness of the NaCl rises to 20 monolaysers (MLs).…”

Section: Introductionmentioning

confidence: 99%

Sodium chloride on Si(100) grown by molecular beam epitaxy

Chung

Chang

et al. 2011

Phys. Rev. B

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Sodium chloride (NaCl) films were grown on an Si(100)-(2 × 1) surface at near room temperature by molecular beam epitaxy (MBE). The atomic structure and growth mode of the prototypical ionic materials on the covalent bonded semiconductor surface is examined by synchrotron core-level x-ray photoemission spectrum (XPS), scanning tunneling microscopy (STM), and first-principles calculations. The Si 2p, Na 2p, and Cl 2p core-level spectra together indicate that adsorbed NaCl molecules at submonolayer coverage [i.e., below 0.4 monolayer (ML)] partially dissociate and form Si-Cl species, and that a significant portion of the dangling-bond characteristics of the clean surface remains after NaCl deposition of 1.8 MLs. The deposition of 0.65-ML NaCl forms a partially ordered adlayer, which includes NaCl networks, Si-Cl species, adsorbed Na species, and isolated dangling bonds. The STM results revealed that the first adlayer consists of bright protrusions which form small c(2 × 4) and (2 × 2) patches. Above 0.65 ML, the two-dimensional NaCl double-layer growth proceeds on top of the first adlayer.

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“…Quantum-optical effects, such as Hanbury Brown and Twiss [12], or Hong-Ou-Mandel interference [13], affecting the relative distribution of single photons, can be revealed only through measurement of photon-correlation functions. Second-order correlation functions have been recently investigated for diffraction gratings [14][15][16], and it was shown that the recurrence period of the second order spatial correlation function is twice larger than that of the light intensity. As MMI systems show periodical recurrences of the light inten- * Electronic address: eilon.poem@weizmann.ac.il sity, much like diffraction gratings, and as they can be rather easily miniaturized and integrated in photonic circuits [9,11], it is interesting to study the behavior of correlation functions in these systems.…”

mentioning

confidence: 99%

Photon correlations in multimode waveguides

Poem

Silberberg

2011

Phys. Rev. A

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We consider the propagation of classical and non-classical light in multi-mode optical waveguides. We focus on the evolution of the few-photon correlation functions, which, much like the light-intensity distribution in such systems, evolve in a periodic manner, culminating in the 'revival' of the initial correlation pattern at the end of each period. It is found that when the input state possesses non trivial symmetries, the correlation revival period can be longer than that of the intensity, and thus the same intensity pattern can display different correlation patterns. We experimentally demonstrate this effect for classical, pseudo-thermal light, and compare the results with the predictions for non-classical, quantum light.

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Electronic reconstruction at a buried ionic-covalent interface driven by surface reactions

Cited by 6 publications

References 24 publications

Néel-State to Valence-Bond-Solid Transition on the Honeycomb Lattice: Evidence for Deconfined Criticality

Néel-State to Valence-Bond-Solid Transition on the Honeycomb Lattice: Evidence for Deconfined Criticality

Sodium chloride on Si(100) grown by molecular beam epitaxy

Photon correlations in multimode waveguides

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