# Evidence of a short-range incommensurate d-wave charge order from a fermionic two-loop renormalization group calculation of a 2D model with hot spots

## Abstract

The two-loop renormalization group (RG) calculation is considerably extended here for the two-dimensional (2D) fermionic effective field theory model, which includes only the so-called “hot spots” that are connected by the spin-density-wave (SDW) ordering wavevector on a Fermi surface generated by the 2D t−t{sup ′} Hubbard model at low hole doping. We compute the Callan–Symanzik RG equation up to two loops describing the flow of the single-particle Green’s function, the corresponding spectral function, the Fermi velocity, and some of the most important order-parameter susceptibilities in the model at lower energies. As a result, we establish that–in addition to clearly dominant SDW correlations–an approximate (pseudospin) symmetry relating a short-range incommensurated-wave charge order to the d-wave superconducting order indeed emerges at lower energy scales, which is in agreement with recent works available in the literature addressing the 2D spin-fermion model. We derive implications of this possible electronic phase in the ongoing attempt to describe the phenomenology of the pseudogap regime in underdoped cuprates.

- Authors:

- Instituto de Física, Universidade Federal de Goiás, 74.001-970, Goiânia-GO (Brazil)
- (United States)

- Publication Date:

- OSTI Identifier:
- 22403377

- Resource Type:
- Journal Article

- Journal Name:
- Annals of Physics (New York)

- Additional Journal Information:
- Journal Volume: 348; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0003-4916

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CUPRATES; D WAVES; EQUATIONS; FERMI LEVEL; FERMIONS; FIELD THEORIES; GREEN FUNCTION; HOT SPOTS; HUBBARD MODEL; ORDER PARAMETERS; RENORMALIZATION; SPECTRAL FUNCTIONS; SYMMETRY; TWO-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL SYSTEMS

### Citation Formats

```
Carvalho, Vanuildo S de, Freire, Hermann, E-mail: hfreire@mit.edu, and Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 2139.
```*Evidence of a short-range incommensurate d-wave charge order from a fermionic two-loop renormalization group calculation of a 2D model with hot spots*. United States: N. p., 2014.
Web. doi:10.1016/J.AOP.2014.05.009.

```
Carvalho, Vanuildo S de, Freire, Hermann, E-mail: hfreire@mit.edu, & Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 2139.
```*Evidence of a short-range incommensurate d-wave charge order from a fermionic two-loop renormalization group calculation of a 2D model with hot spots*. United States. doi:10.1016/J.AOP.2014.05.009.

```
Carvalho, Vanuildo S de, Freire, Hermann, E-mail: hfreire@mit.edu, and Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 2139. Mon .
"Evidence of a short-range incommensurate d-wave charge order from a fermionic two-loop renormalization group calculation of a 2D model with hot spots". United States. doi:10.1016/J.AOP.2014.05.009.
```

```
@article{osti_22403377,
```

title = {Evidence of a short-range incommensurate d-wave charge order from a fermionic two-loop renormalization group calculation of a 2D model with hot spots},

author = {Carvalho, Vanuildo S de and Freire, Hermann, E-mail: hfreire@mit.edu and Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 2139},

abstractNote = {The two-loop renormalization group (RG) calculation is considerably extended here for the two-dimensional (2D) fermionic effective field theory model, which includes only the so-called “hot spots” that are connected by the spin-density-wave (SDW) ordering wavevector on a Fermi surface generated by the 2D t−t{sup ′} Hubbard model at low hole doping. We compute the Callan–Symanzik RG equation up to two loops describing the flow of the single-particle Green’s function, the corresponding spectral function, the Fermi velocity, and some of the most important order-parameter susceptibilities in the model at lower energies. As a result, we establish that–in addition to clearly dominant SDW correlations–an approximate (pseudospin) symmetry relating a short-range incommensurated-wave charge order to the d-wave superconducting order indeed emerges at lower energy scales, which is in agreement with recent works available in the literature addressing the 2D spin-fermion model. We derive implications of this possible electronic phase in the ongoing attempt to describe the phenomenology of the pseudogap regime in underdoped cuprates.},

doi = {10.1016/J.AOP.2014.05.009},

journal = {Annals of Physics (New York)},

issn = {0003-4916},

number = ,

volume = 348,

place = {United States},

year = {2014},

month = {9}

}