Cascade of First Order Phase Transitions in Field-Induced Spin Density Wave States

1992 ◽  
Vol 61 (4) ◽  
pp. 1246-1256 ◽  
Author(s):  
Yoshiki Hori ◽  
Kazushige Machida
2021 ◽  
Vol 4 (1) ◽  
Author(s):  
Yuchi He ◽  
Kang Yang ◽  
Mark Oliver Goerbig ◽  
Roger S. K. Mong

AbstractIn recent experiments, external anisotropy has been a useful tool to tune different phases and study their competitions. In this paper, we look at the quantum Hall charge density wave states in the N = 2 Landau level. Without anisotropy, there are two first-order phase transitions between the Wigner crystal, the 2-electron bubble phase, and the stripe phase. By adding mass anisotropy, our analytical and numerical studies show that the 2-electron bubble phase disappears and the stripe phase significantly enlarges its domain in the phase diagram. Meanwhile, a regime of stripe crystals that may be observed experimentally is unveiled after the bubble phase gets out. Upon increase of the anisotropy, the energy of the phases at the transitions becomes progressively smooth as a function of the filling. We conclude that all first-order phase transitions are replaced by continuous phase transitions, providing a possible realisation of continuous quantum crystalline phase transitions.


2002 ◽  
Vol 12 (9) ◽  
pp. 389-389
Author(s):  
W. G. Clark ◽  
F. Zamborsky ◽  
B. Alavi ◽  
P. Vonlanthen ◽  
W. Moulton ◽  
...  

We report proton NMR measurements of the effect of very high magnetic fields up to 44.7 T (1.9 GHz) on the spin density wave (SDW) transition of the organic conductor TMTSF2PF6. Up to 1.8 GHz, no effect of critical slowing close to the transition is seen on the proton relaxation rate (1/T1), which is determined by the SDW fluctuations associated with the phase transition at the NMR frequency. Thus, the correlation time for such fluctuations is less than $1O^{-10}$s. A possible explanation for the absence of longer correlation times is that the transition is weakly first order, so that the full critical divergence is never achieved. The measurements also show a dependence of the transition temperature on the orientation of the magnetic field and a quadratic dependence on its magnitude that agrees with earlier transport measurements at lower fields. The UCLA part of this work was supported by NSF Grant DMR-0072524.


2008 ◽  
Vol 78 (1) ◽  
Author(s):  
B. Lorenz ◽  
K. Sasmal ◽  
R. P. Chaudhury ◽  
X. H. Chen ◽  
R. H. Liu ◽  
...  

1994 ◽  
Vol 50 (17) ◽  
pp. 12726-12732 ◽  
Author(s):  
Alain Audouard ◽  
Frédéric Goze ◽  
Jean-Pierre Ulmet ◽  
Luc Brossard ◽  
Salomon Askenazy ◽  
...  

1993 ◽  
Vol 07 (01n03) ◽  
pp. 620-623 ◽  
Author(s):  
R.S. FISHMAN ◽  
S.H. LIU

It is well-known that impurities profoundly alter the magnetic properties of chromium. While vanadium impurities suppress the Néel temperature TN, manganese impurities enhance TN substantially. As evidenced by neutron scattering experiments, doping with as little as 0.2% vanadium changes the transition from weakly first order to second order. Young and Sokoloff explained that the first-order transition in pure chromium is caused by a charge-density wave which is the second harmonic of the spin-density wave. By examining the subtle balance between the spin-density and charge-density wave terms in the mean-field free energy, we find that the first-order transition is destroyed when the vanadium concentration exceeds about 0.15%, in agreement with experiments.


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