22,998 research outputs found
Avalanche-Induced Current Enhancement in Semiconducting Carbon Nanotubes
Semiconducting carbon nanotubes under high electric field stress (~10 V/um)
display a striking, exponential current increase due to avalanche generation of
free electrons and holes. Unlike in other materials, the avalanche process in
such 1D quantum wires involves access to the third sub-band, is insensitive to
temperature, but strongly dependent on diameter ~exp(-1/d^2). Comparison with a
theoretical model yields a novel approach to obtain the inelastic optical
phonon emission length, L_OP,ems ~ 15d nm. The combined results underscore the
importance of multi-band transport in 1D molecular wires
Renormalization Group Approach to Field Theory at Finite Temperature
Scalar field theory at finite temperature is investigated via an improved
renormalization group prescription which provides an effective resummation over
all possible non-overlapping higher loop graphs. Explicit analyses for the
lambda phi^4 theory are performed in d=4 Euclidean space for both low and high
temperature limits. We generate a set of coupled equations for the mass
parameter and the coupling constant from the renormalization group flow
equation. Dimensional reduction and symmetry restoration are also explored with
our improved approach.Comment: 29 pages, can include figures in the body of the text using epsf.st
Investigation into O(N) Invariant Scalar Model Using Auxiliary-Mass Method at Finite Temperature
Using auxiliary-mass method, O(N) invariant scalar model is investigated at
finite temperature. This mass and an evolution equation allow us to calculate
an effective potential without an infrared divergence. Second order phase
transition is indicated by the effective potential. The critical exponents are
determined numerically.Comment: LaTex 8 pages with 3 eps figure
Thermal Dissipation and Variability in Electrical Breakdown of Carbon Nanotube Devices
We study high-field electrical breakdown and heat dissipation from carbon
nanotube (CNT) devices on SiO2 substrates. The thermal "footprint" of a CNT
caused by van der Waals interactions with the substrate is revealed through
molecular dynamics (MD) simulations. Experiments and modeling find the
CNT-substrate thermal coupling scales proportionally to CNT diameter and
inversely with SiO2 surface roughness (~d/{\Delta}). Comparison of diffuse
mismatch modeling (DMM) and data reveals the upper limit of thermal coupling
~0.4 W/K/m per unit length at room temperature, and ~0.7 W/K/m at 600 C for the
largest diameter (3-4 nm) CNTs. We also find semiconducting CNTs can break down
prematurely, and display more breakdown variability due to dynamic shifts in
threshold voltage, which metallic CNTs are immune to; this poses a fundamental
challenge for selective electrical breakdowns in CNT electronics
Quantum and Thermal Fluctuations in Field Theory
Blocking transformation is performed in quantum field theory at finite
temperature. It is found that the manner temperature deforms the renormalized
trajectories can be used to understand better the role played by the quantum
fluctuations. In particular, it is conjectured that domain formation and mass
parameter generation can be observed in theories without spontaneous symmetry
breaking.Comment: 27pp+7 figures, MIT-CTP-214
Flow Equations for U_k and Z_k
By considering the gradient expansion for the wilsonian effective action S_k
of a single component scalar field theory truncated to the first two terms, the
potential U_k and the kinetic term Z_k, I show that the recent claim that
different expansion of the fluctuation determinant give rise to different
renormalization group equations for Z_k is incorrect. The correct procedure to
derive this equation is presented and the set of coupled differential equations
for U_k and Z_k is definitely established.Comment: 5 page
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MFN status and the choice of tariff regime
The gradualist approach to trade liberalization views the uniform tariffs implied by MFN status as an important step on the path to free trade. We investigate whether a regime of uniform tariffs will be preferable to discriminatory tariffs when countries engage in non-cooperative interaction in multilateral trade. The analysis includes product differentiation and asymmetric costs. We show that with the cost asymmetry the countries will disagree on the choice of tariff regime. When the choice of import tariffs and export subsidies is made sequentially the uniform tariff regime may not be sustainable, because of an incentive to deviate to a discriminatory regime. Hence, an international body is needed to ensure compliance with tariff agreement
On the Convergence of the Expansion of Renormalization Group Flow Equation
We compare and discuss the dependence of a polynomial truncation of the
effective potential used to solve exact renormalization group flow equation for
a model with fermionic interaction (linear sigma model) with a grid solution.
The sensitivity of the results on the underlying cutoff function is discussed.
We explore the validity of the expansion method for second and first-order
phase transitions.Comment: 12 pages with 10 EPS figures included; revised versio
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