Energy transfer rate in double-layer graphene systems: Linear regime

Bahrami, Bahram; Vazifehshenas, T.

doi:10.1016/j.physleta.2012.10.006

Cited by 8 publications

(10 citation statements)

References 59 publications

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“…Calculations for one-and two-dimensional electron gases [39,40] and graphene [41] have appeared. We adapt the energy transfer rate formulation to our double layer dipolar system characterized by layer temperatures T i and drift velocities υ i and express it as…”

Section: A Energy Transfer Ratementioning

confidence: 99%

Heat transfer through dipolar coupling: Sympathetic cooling without contact

2016

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We consider two parallel layers of dipolar ultracold Fermi gases at different temperatures and calculate the heat transfer between them. The effective interactions describing screening and correlation effects between the dipoles in a single layer are modeled within the Euler-Lagrange Fermihypernetted chain approximation. The random-phase approximation is used for the interactions across the layers. We investigate the amount of transferred power between the layers as a function of the temperature difference. Energy transfer arises due to the long-range dipole-dipole interactions. A simple thermal model is established to investigate the feasibility of using the contactless sympathetic cooling of the ultracold polar atoms/molecules. Our calculations indicate that dipolar heat transfer is effective for typical polar molecule experiments and may be utilized as a cooling process.

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Section: A Energy Transfer Ratementioning

confidence: 99%

Heat transfer through dipolar coupling: Sympathetic cooling without contact

2016

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“…This energy transfer arises with (without) an external field applied to the system [32,33], and it is termed as the non-linear (linear) regime. The energy transfer was investigated for the double-layer graphene and double-quantum well (DQW) systems using the balance equation approach in the linear regime [34][35][36]. The results show that the obtained amount of transferred power for these systems is qualitatively similar to that achieved for the two-dimensional electron gas.…”

Section: Introductionmentioning

confidence: 86%

“…These studies employed the balance equation approach , the quantum kinetic equation , and the non‐equilibrium Green function method for electron systems. Additionally, studies for one‐ and two‐dimensional electron gases and graphene have been reported. In the present work, we mainly focus on neutral, ultracold dipolar gases, in contrast to the previous studies based on electronic systems.…”

Section: Energy Transfer Ratementioning

confidence: 99%

“…The transferred power

((), P_{12})

per unit area from layer 2 to layer 1 can be calculated within the Fermi's Golden Rule by considering the energy transfer rate much like the case in drag effect where the momentum transfer rate is calculated. Here, we use the Lei and Ting non‐linear energy balance transport equation as functions of layer temperatures

T_{i}

and drift velocities

υ_{i}

, given by

\begin{matrix} right {scriptP}_{12} & center = & left - ℏ \sum_{q} \int_{- \infty}^{\infty} \frac{d ω}{π} : ω : {|\frac{V_{12} (q)}{ε (q, ω, T_{1}, T_{2})}|}^{2} \\ left \times ([], n_{B} (\frac{ℏ ω}{k_{normalB} T_{1}}) - n_{B} (\frac{ℏ (ω - ω_{12})}{k_{normalB} T_{2}})) \\ left \times Im χ_{1} (q, ω, T_{1}) Im χ_{2} (q, ω - ω_{12}, T_{2}), \end{matrix}

where

χ_{i} false(q, ω false)

is the finite temperature two‐dimensional Lindhard polarization function for the i th layer and

ω_{12} = q false(υ_{1} - υ_{2} false)

.…”

Section: Energy Transfer Ratementioning

confidence: 99%

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Energy transfer in a bilayer Fermi gas in the non-linear regime

Renklioglu

Oktel

Tanatar

2016

Phys. Status Solidi B

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We consider a bilayer system of two‐dimensional spin‐polarized dipolar Fermi gas without any tunneling between the layers. We calculate the energy transfer rate between the layers in the non‐linear regime where the layers have a relative velocity, as a function of temperature and drift velocities of the particles of the system in each layer. The effective interactions describing the correlation effects and screening between the dipoles are obtained by the Hubbard approximation in a single layer (intra‐layer), and the random‐phase approximation (RPA) across the layers (inter‐layer). The energy transfer arises from the long‐range nature of dipolar interactions between the particles of the system. As a result of the increasing drift velocities, the non‐linear heat transfer between the layers remarkably increases and the system reaches its equilibrium at lower temperatures. Our calculations show that cooling with dipolar interactions without any material contact can be utilized to cool the ultracold dipolar systems.

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“…Nevertheless, this many-body effect is still interesting from the theoretical point of view. Utilizing the energy-balance approach, the behavior of the energy transfer rate in double quantum systems such as DQW, double-quantum-wire and double-layer graphene has been investigated in a few papers [15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%