Variable-range hopping

<p>Variable-range hopping is a model used to describe carrier transport in a disordered <a href="/facts/Semiconductor/zFf3mGTE">semiconductor</a> or in <a href="/facts/Amorphous_solid/YTIzmrR0">amorphous solid</a> by hopping in an extended temperature range. It has a characteristic temperature dependence of
</p>

σ
        =
        
          σ
          
            0
          
        
        
          e
          
            −
            (
            
              T
              
                0
              
            
            
              /
            
            T
            
              )
              
                β
              
            
          
        
      
    
    {\displaystyle \sigma =\sigma _{0}e^{-(T_{0}/T)^{\beta }}}

<p>where 
  
    
      
        σ
      
    
    {\displaystyle \sigma }
  
 is the conductivity and 
  
    
      
        β
      
    
    {\displaystyle \beta }
  
 is a parameter dependent on the model under consideration.
</p>

Variable-range hopping open-in-new

Variable-range hopping