# t-J{sub z} ladder: Density-matrix renormalization group and series expansion calculations of the phase diagram

## Abstract

The phase diagram of the two-leg t-J{sub z} ladder is explored, using the density-matrix renormalization group method. Results are obtained for energy gaps, electron density profiles, and correlation functions for the half filled and quarter filled cases. The effective Lagrangian velocity parameter v{sub {rho}} is shown to vanish at half filling. The behavior of the one-hole gap in the Nagaoka limit is investigated, and found to disagree with theoretical predictions. A tentative phase diagram is presented, which is quite similar to the full t-J ladder, but scaled up by a factor of about 2 in coupling. Near half filling a Luther-Emery phase is found, which may be expected to show superconducting correlations, while near quarter filling the system appears to be in a Tomonaga-Luttinger phase.

- Authors:

- School of Physics, University of New South Wales, Sydney, NSW 2052 (Australia)

- Publication Date:

- OSTI Identifier:
- 20788061

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. B, Condensed Matter and Materials Physics; Journal Volume: 73; Journal Issue: 14; Other Information: DOI: 10.1103/PhysRevB.73.144508; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; CORRELATION FUNCTIONS; CORRELATIONS; COUPLING; DENSITY MATRIX; ELECTRON DENSITY; ENERGY GAP; HOLES; LAGRANGIAN FUNCTION; MATHEMATICAL MODELS; PHASE DIAGRAMS; RENORMALIZATION; SERIES EXPANSION; VELOCITY

### Citation Formats

```
Weisse, A., Bursill, R. J., Hamer, C. J., and Weihong, Zheng.
```*t-J{sub z} ladder: Density-matrix renormalization group and series expansion calculations of the phase diagram*. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVB.73.1.

```
Weisse, A., Bursill, R. J., Hamer, C. J., & Weihong, Zheng.
```*t-J{sub z} ladder: Density-matrix renormalization group and series expansion calculations of the phase diagram*. United States. doi:10.1103/PHYSREVB.73.1.

```
Weisse, A., Bursill, R. J., Hamer, C. J., and Weihong, Zheng. Sat .
"t-J{sub z} ladder: Density-matrix renormalization group and series expansion calculations of the phase diagram". United States.
doi:10.1103/PHYSREVB.73.1.
```

```
@article{osti_20788061,
```

title = {t-J{sub z} ladder: Density-matrix renormalization group and series expansion calculations of the phase diagram},

author = {Weisse, A. and Bursill, R. J. and Hamer, C. J. and Weihong, Zheng},

abstractNote = {The phase diagram of the two-leg t-J{sub z} ladder is explored, using the density-matrix renormalization group method. Results are obtained for energy gaps, electron density profiles, and correlation functions for the half filled and quarter filled cases. The effective Lagrangian velocity parameter v{sub {rho}} is shown to vanish at half filling. The behavior of the one-hole gap in the Nagaoka limit is investigated, and found to disagree with theoretical predictions. A tentative phase diagram is presented, which is quite similar to the full t-J ladder, but scaled up by a factor of about 2 in coupling. Near half filling a Luther-Emery phase is found, which may be expected to show superconducting correlations, while near quarter filling the system appears to be in a Tomonaga-Luttinger phase.},

doi = {10.1103/PHYSREVB.73.1},

journal = {Physical Review. B, Condensed Matter and Materials Physics},

number = 14,

volume = 73,

place = {United States},

year = {Sat Apr 01 00:00:00 EST 2006},

month = {Sat Apr 01 00:00:00 EST 2006}

}