Surface criticality in random field magnets

Laurson, Lasse; Alava, Mikko J.

doi:10.1103/physrevb.72.214416

Cited by 2 publications

(2 citation statements)

References 29 publications

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“…To one-loop order they obey relation β 1 = 2β. Up to now the both magnetization exponents have been studied only for the 3D RFIM where numerical simulations give β = 0.0017 ± 0.005 [51] and β 1 = 0.23 ± 0.03 [42]. Thus, the ratio β 1 /β for the RF O(N ) systems in d > 4 is much smaller than for the 3D RFIM.…”

Section: The Surface Exponents To One-loop Ordermentioning

confidence: 99%

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Random-field and random-anisotropyO(N)spin systems with a free surface

Fedorenko

2012

Phys. Rev. E

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We study the surface scaling behavior of a semi-infinite d-dimensional O(N) spin system in the presence of a quenched random field and random anisotropy disorders. It is known that above the lower critical dimension d(LC) = 4 the infinite models undergo a paramagnetic-ferromagnetic transition for N > N(c) (N(c) = 2.835 for the random field and N(c) =9.441 for random anisotropy). For N < N(c) and d < d(LC) there exists a quasi-long-range-order phase with a zero order parameter and a power-law decay of spin correlations. Using a functional renormalization group, we derive the surface scaling laws that describe the ordinary surface transition for d > d(LC) and the long-range behavior of spin correlations near the surface in the quasi-long-range-order phase for d < d(LC). The corresponding surface exponents are calculated to one-loop order. The obtained results can be applied to the surface scaling of periodic elastic systems in disordered media, amorphous magnets, and (3)He-A in aerogel.

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Section: The Surface Exponents To One-loop Ordermentioning

confidence: 99%

“…The surface criticality of the RFIM has been studied numerically in Ref. [42]. It was also shown that the RF disorder on the surface of a 3D spin system with continuous symmetry destroys the long-range order in the bulk, and, instead, a QLRO emerges [43].…”

Section: Introductionmentioning

confidence: 99%

Random-field and random-anisotropyO(N)spin systems with a free surface

Fedorenko

2012

Phys. Rev. E

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Spatial complexity due to bulk electronic nematicity in a superconducting underdoped cuprate

2012

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Surface probes such as scanning tunnelling microscopy have detected complex electronic patterns at the nanoscale in many high-temperature superconductors. In cuprates, the pattern formation is associated with the pseudogap phase, a precursor to the high-temperature superconducting state. Rotational symmetry breaking of the host crystal in the form of electronic nematicity has recently been proposed as a unifying theme of the pseudogap phase. However, the fundamental physics governing the nanoscale pattern formation has not yet been identifed. Here we introduce a new set of methods for analysing strongly correlated electronic systems, including the effects of both disorder and broken symmetry. We use universal cluster properties extracted from scanning tunnelling microscopy studies of cuprate superconductors to identify the fundamental physics controlling the complex pattern formation. Because of a delicate balance between disorder, interactions, and material anisotropy, we find that the electron nematic is fractal in nature, and that it extends throughout the bulk of the material.

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Surface criticality in random field magnets

Cited by 2 publications

References 29 publications

Random-field and random-anisotropyO(N)spin systems with a free surface

Random-field and random-anisotropyO(N)spin systems with a free surface

Spatial complexity due to bulk electronic nematicity in a superconducting underdoped cuprate

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