Coupling of magnetic orders inLa2CuO4+x

μSR Spectrum Reconstruction Using Monte Carlo Approach: A Preliminary Study

“…The drawback of using a small 𝛾𝛾 1 is the peak at 500 G has broader distribution compared to the μSR spectra [9] and we need to make it narrower by increasing the 𝛾𝛾 1 value. Variation of 𝛾𝛾 1 with constant 𝛾𝛾 2 value to theoretical μSR spectra compare to experiment μSR spectra [9] shown in Fig. 3.…”

“…La 2 CuO 4 (LCO) is one of the best target material for muon sites estimation [1][2][3][4][5][6][7][8] which has been investigated well by muons since 1990 [1]. Previous study on μSR shows that there are two muons local field has been observed at 112 G and 419 G with the main contribution comes from 419 G [9]. As general, the previous study on muon site estimation can be divided into three methods: dipole field calculation [1,2,7], electrostatic potential [4,5,8], and minimum energy structure calculations [3,6].…”

The Effect of Interaction Weight on Dipole Field Calculations to Reconstruct the La₂CuO₄ μSR Spectrum

“…where 𝝁𝝁 𝒊𝒊 is the Cu magnetic moment, and 𝒓𝒓 𝒊𝒊𝒋𝒋 is the relative position of the muon and the Cu i-th ion with a magnetic moment 𝝁𝝁 𝒊𝒊 . 𝐶𝐶 is scaling constant for the Cu magnetic moment to match the observed μSR spectrum [8], and 𝑊𝑊�𝑟𝑟 𝑖𝑖𝑖𝑖 , 𝜎𝜎� is Gaussian distribution weight with interaction width 𝜎𝜎.…”

“…μSR spectrum can be reconstructed by estimating the muon sites and calculate the dipole field at each possible sites within unit cell. La2CuO4 (LCO) is one of the best candidates for μSR spectrum reconstruction due to well investigated by muon [1][2][3][4][5][6][7][8] and neutron [9][10][11][12][13][14][15]. Several possible muon sites in LCO also has been investigated intensively using dipole field calculation, electrostatic potential and supercell structure relaxation [16][17][18][19][20][21][22][23][24], yet their possible muon sites still cannot be used directly to reconstruct the μSR spectrum theoretically.…”

“…The interesting part about measurement using muon is that the sample crystallinity between powder and single crystal shows a fairly small difference in the internal field about 400-419 G [1][2][3][4][5][6][7][8] (can be converted to 0.33-0.34 µB/Cu using dipole field calculation). On the other hand, when using neutron the effect of sample crystallinity shows a significant difference in magnetic moment between 0.17 and 0.55 µB/Cu [9][10][11][12][13][14][15].…”