H A Different Universe
(Reinventing Physics from the Bottom Down)
Robert B. Laughlin
H
   
Emergence
 

". . .we now understand that imperfection has exactly the opposite effect, namely to cause the perfection of the measurement---a dramatic reversal worthy of the finest Greek drama. The quantum hall effect is, in fact, a magnificent example of perfection emerging out of imperfection. The key clue that this is so is that the quantization accuracy---which is to say, the effect itself---disappears if the sample is small. Collective phenomena are both common in nature and central to modern physical science, so the effect is in this sense neither unprecendented nor hard to understand. However, extreme accuracy of the von Klitzing effect makes its collective nature undeniable, and therein lies its special significance.
     I have come to understand the von Klitzing discovery to be a watershed event, a defining moment in which physical science stepped firmly out of the age of reductionism into the age of emergence.
     The fractional quantum hall effect reveals that ostensibly indivisible quanta---in this case the electron charge e---can be broken into pieces through self-organization of phases. The fundamental things, in other words, are not necessarily fundamental."

   
 
Chapter Seven - Vin Klitzing
   
     
       
   
                     
      Hall Effect, Integer Quantum Hall Effect and Fractional Hall Effect  
                     
             
       

When a current-carrying conductor is placed in a magnetic field, a potential difference is generated in a direction perpendicular to both the current and the magnetic field. This phenomenon, first observered by Edwin Hall (1855-1938) in 1879, is known as the hall effect. It arises from the deflection of charge carriers to one side of the conductor as a result of the magnetic force they experience.---Serway

   
             
           
     
In a two-dimensional metal or semiconductor the Hall effect is also observed, but at low temperatures a series of steps appear in the Hall resistance as a function of magnetic field instead of the monotonic increase. What is more, these steps occur at incredibly precise values of resistance which are the same no matter what sample is investigated. The resistance is quantised in units of h/e^2 divided by an integer.
This is the Quantum Hall Effect.
     

       
            Two years after von Klitzing's discovery, at Murray Hill, Stormer and Tsui were also studying the quantum Hall effect, using extremely high quality gallium arsenide-based samples that were made by Bell Labs scientist Arthur Gossard. Gossard, now at the University of California at Santa Barbara, had used the techniques of molecular beam epitaxy -- itself invented at Bell Labs by Al Cho -- to make a semiconductor layer so pure that the electrons in the sample could move long distances without bumping against impurities. In addition to using what he called "the greatest sample in the world," Stormer and Tsui had taken von Klitzing's experiment a few steps further. Their experiment was at a lower temperature (near absolute zero) and they were using more powerful magnetic fields (close to a million times the Earth's magnetic field in strength).more.