Temperature distribution in nano-devices under a strong magnetic field

Hirayama, Naomi; Endo, Akira; Fujita, Kazuhiro; Hasegawa, Yasuhiro; Hatano, Naomichi; Nakamura, Hiroaki; Shirasaki, Ryōen

doi:10.1016/j.cpc.2010.07.043

Cited by 3 publications

(3 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We find that a magnetic field distorts equipotential lines and generates an uneven temperature distribution with high-and low-temperature areas emerging at the opposite corners of the square (see figure 3). The low-temperature area is found to become colder than the isothermal boundaries, as briefly reported in our previous publications [33,34]. Two opposite corners with the temperatures lower and higher than the bath, respectively, resembling those presented here was previously also reported in numerical calculations by Ise et al [19] when the current is small enough, although the mechanism responsible for the cooling was not explicitly specified in that paper.…”

Section: Introductionsupporting

confidence: 85%

“…Figure 3 shows the distributions of the electrostatic potential φ, the electric current J , the temperature T , and the heat current J Q in the case φ left = 0 nV, φ right = 80 nV, and T left = T right = 40 mK. We briefly reported the numerical results shown here in previous articles [33,34]. At B = 0 (figure 3(a)) the electric current J flows homogeneously perpendicular to the φ-contours.…”

Section: Numerical Calculationmentioning

confidence: 93%

See 1 more Smart Citation

Current-Induced Cooling Phenomenon in a Two-Dimensional Electron Gas Under a Magnetic Field

et al. 2013

Self Cite

View full text Add to dashboard Cite

We investigate the spatial distribution of temperature induced by a dc current in a two-dimensional electron gas (2DEG) subjected to a perpendicular magnetic field. We numerically calculate the distributions of the electrostatic potential φ and the temperature T in a 2DEG enclosed in a square area surrounded by insulatedadiabatic (top and bottom) and isopotential-isothermal (left and right) boundaries (with φ left < φ right and T left = T right ), using a pair of nonlinear Poisson equations (for φ and T ) that fully take into account thermoelectric and thermomagnetic phenomena, including the Hall, Nernst, Ettingshausen, and Righi-Leduc effects. We find that, in the vicinity of the left-bottom corner, the temperature becomes lower than the fixed boundary temperature, contrary to the naive expectation that the temperature is raised by the prevalent Joule heating effect. The cooling is attributed to the Ettingshausen effect at the bottom adiabatic boundary, which pumps up the heat away from the bottom boundary. In order to keep the adiabatic condition, downward temperature gradient, hence the cooled area, is developed near the boundary, with the resulting thermal diffusion compensating the upward heat current due to the Ettingshausen effect.

show abstract

Section: Introductionsupporting

confidence: 85%

Section: Numerical Calculationmentioning

confidence: 93%

Current-Induced Cooling Phenomenon in a Two-Dimensional Electron Gas Under a Magnetic Field

et al. 2013

Self Cite

View full text Add to dashboard Cite

show abstract

“…They found that an unusual Nernst voltage which is not theoretically expected appears under a strong magnetic field, B > 1.8 T. In a previous study, 7 we simulated the distributions of the temperature T and the voltage / of a 2DEG. The results indicated that the magnetic field B distorts the / contours.…”

Section: Introductionmentioning

confidence: 97%

Temperature Distribution in Two-Dimensional Electron Gases under a Strong Magnetic Field

Hirayama

Endo

Fujita

et al. 2010

Journal of Elec Materi

Self Cite

View full text Add to dashboard Cite

Two-dimensional electron gases having an electrochemical potential gradient under a magnetic field are numerically examined using the finite-difference method. The temperature, voltage, electric current, and heat flux are calculated from transport equations describing thermoelectric and thermomagnetic effects, namely the Hall, Nernst, Ettingshausen, and Righi-Leduc effects. The results show that a magnetic field distorts equipotential lines and generates an uneven temperature distribution. In particular, a part of the system is found to become colder than the temperature of the heat baths. The cooling effect under a strong magnetic field is due primarily to the Ettingshausen and Hall effects.

show abstract

Transport-Coefficient Dependence of Current-Induced Cooling Effect in a Two-Dimensional Electron Gas

Hirayama

Endo

Fujita

et al. 2011

Journal of Elec Materi

View full text Add to dashboard Cite

Temperature distribution in nano-devices under a strong magnetic field

Cited by 3 publications

References 6 publications

Current-Induced Cooling Phenomenon in a Two-Dimensional Electron Gas Under a Magnetic Field

Current-Induced Cooling Phenomenon in a Two-Dimensional Electron Gas Under a Magnetic Field

Temperature Distribution in Two-Dimensional Electron Gases under a Strong Magnetic Field

Transport-Coefficient Dependence of Current-Induced Cooling Effect in a Two-Dimensional Electron Gas

Contact Info

Product

Resources

About