429 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Massachusetts Institute of TechnologyUS50 papers
- Koç UniversityTR46 papers
- Feza Gürsey InstituteTR30 papers
- Boğaziçi UniversityTR28 papers
- Middle East Technical UniversityTR25 papers
- University of CambridgeGB22 papers
- University of OxfordGB21 papers
- University of ManchesterGB20 papers
- Fermi National Accelerator LaboratoryUS19 papers
- Kansas State UniversityUS19 papers
- University of ChicagoUS19 papers
- Columbia UniversityUS18 papers
11 papers · 1 filter
XY-Ashkin-Teller Phase Diagram in d=3
Alpar Turkoglu, A. Nihat Berker
The phase diagram of the Ashkin-Tellerized XY model in spatial dimension is calculated by renormalization-group theory. In this system, each site has two spins, each spin bei…
Global Ashkin-Teller Phase Diagrams in Two and Three Dimensions: Multicritical Bifurcation versus Double Tricriticality Endpoint
Ibrahim Kecoglu, A. Nihat Berker
The global phase diagrams of the Askin-Teller model are calculated in d=2 and 3 by renormalization-group theory that is exact on the hierarchical lattice and approximate on the rec…
The Merged Potts-Clock Model: Algebraic and Conventional Multistructured Multicritical Orderings in Two and Three Dimensions
E. Can Artun, A. Nihat Berker
A spin system is studied, with simultaneous permutation-symmetric Potts and spin-rotation-symmetric clock interactions, in spatial dimensions d=2 and 3. The global phase diagram is…
Lower-Critical Dimension of the Random-Field XY Model and the Zero-Temperature Critical Line
Kutay Akin, A. Nihat Berker
The random-field XY model is studied in spatial dimensions d=3 and 4, and in-between, as the limit q --> \infty of the q-state clock models, by the exact renormalization-group solu…
Renormalization-Group Theory of the Heisenberg Model in d Dimensions
Egemen Tunca, A. Nihat Berker
The classical Heisenberg model has been solved in spatial d dimensins, exactly in d=1 and by the Migdal-Kadanoff approximation in d>1, by using a Fourier-Legendre expansion. The ph…
First-Order to Second-Order Phase Transition Changeover and Latent Heats of q-State Potts Models in d=2,3 from a Simple Migdal-Kadanoff Adaptation
H. Yagiz Devre, A. Nihat Berker
The changeover from first-order to second-order phase transitions in q-state Potts models is obtained at q_c=2 in spatial dimension d=3 and essentially at q_c=4 in d=2, using a phy…
Tensor Renormalization Group: Local Magnetizations, Correlation Functions, and Phase Diagrams of Systems with Quenched Randomness
Can Güven, Michael Hinczewski, A. Nihat Berker
The tensor renormalization-group method, developed by Levin and Nave, brings systematic improvability to the position-space renormalization-group method and yields essentially exac…
Phase Separation and Charge-Ordered Phases of the d = 3 Falicov-Kimball Model at T>0: Temperature-Density-Chemical Potential Global Phase Diagram from Renormalization-Group Theory
Ozan S. Sarıyer, Michael Hinczewski, A. Nihat Berker
The global phase diagram of the spinless Falicov-Kimball model in d = 3 spatial dimensions is obtained by renormalization-group theory. This global phase diagram exhibits five dist…
Uncovering the secrets of the 2d random-bond Blume-Capel model
A. Malakis, A. Nihat Berker, I. A. Hadjiagapiou +2
The effects of bond randomness on the ground-state structure, phase diagram and critical behavior of the square lattice ferromagnetic Blume-Capel (BC) model are discussed. The calc…
High-Precision Thermodynamic and Critical Properties from Tensor Renormalization-Group Flows
Michael Hinczewski, A. Nihat Berker
The recently developed tensor renormalization-group (TRG) method provides a highly precise technique for deriving thermodynamic and critical properties of lattice Hamiltonians. The…
Excitation Spectrum Gap and Spin-Wave Stiffness of XXZ Heisenberg Chains: Global Renormalization-Group Calculation
Ozan S. Sariyer, A. Nihat Berker, Michael Hinczewski
The anisotropic XXZ spin-1/2 Heisenberg chain is studied using renormalization-group theory. The specific heats and nearest-neighbor spin-spin correlations are calculated thoughout…