# Stability of Dirac Liquids with Strong Coulomb Interaction.

@article{Tupitsyn2016StabilityOD,
title={Stability of Dirac Liquids with Strong Coulomb Interaction.},
author={Igor S. Tupitsyn and Nikolay V. Prokof’ev},
journal={Physical review letters},
year={2016},
volume={118 2},
pages={
026403
}
}
• Published 30 July 2016
• Physics
• Physical review letters
We develop and apply the diagrammatic Monte Carlo technique to address the problem of the stability of the Dirac liquid state (in a graphene-type system) against the strong long-range part of the Coulomb interaction. So far, all attempts to deal with this problem in the field-theoretical framework were limited either to perturbative or random phase approximation and functional renormalization group treatments, with diametrically opposite conclusions. Our calculations aim at the approximation…
30 Citations

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## References

SHOWING 1-10 OF 17 REFERENCES

### Phys

• Rev. Lett. 111, 056801
• 2013

### Phys

• Rev. Lett. 113, 105502
• 2014

### Phys

• Rev. B 75, 235423
• 2007

### Phys

• Rev. B 81, 125105
• 2010

### Phys

• Rev. Lett. 80, 5409
• 1998

### Phys

• Rev. B 59, R2474
• 1999

### Proc

• Natl. Acad. Sci., 108, 11365
• 2011

### Phys

• Rev. B 75, 121406(R)
• 2007

### Phys

• Rev. Lett. 102, 026802 (2009); Phys. Rev. B 79, 241405
• 2009

### Phys

• Rev. Lett. 106, 236805
• 2011