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Fragile Mott insulators.

Hong Yao1, Steven A Kivelson

  • 1Department of Physics, University of California, Berkeley, California 94720, USA.

Physical Review Letters
|January 15, 2011
PubMed
Summary
This summary is machine-generated.

Researchers discovered "fragile Mott insulators," a new class of crystalline insulators. These materials are distinct from band insulators, even when preserving key symmetries, and are characterized by unique crystal properties.

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Area of Science:

  • Condensed matter physics
  • Materials science

Background:

  • Mott insulators are a key area of condensed matter physics.
  • Understanding the classification of insulators is crucial for materials science.

Purpose of the Study:

  • To identify and characterize a new class of crystalline insulators.
  • To distinguish these insulators from conventional band insulators.

Main Methods:

  • Theoretical analysis of crystalline insulators.
  • Symmetry analysis including time-reversal and point-group symmetries.
  • Investigation of adiabatic connections between insulating states.

Main Results:

  • Existence of "fragile Mott insulators" proven.
  • These insulators are not adiabatically connected to band insulators under specific symmetries.
  • Characterization based on nontrivial one-dimensional representations of crystal point groups.

Conclusions:

  • Fragile Mott insulators represent a novel category of electronic matter.
  • This classification offers new insights into the diverse nature of insulators.
  • Two examples, the d Mott insulator and the Affleck-Kennedy-Lieb-Tasaki insulator, illustrate the concept.